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HP 39gs User's Manual

1. 11 14 Confidence intervals din aca 11 15 One Sample 27 9 29 11 15 Two Sample Z lInterval ties seo ott 11 16 One ProponionsZ Inleryl iad ied ce 11 17 Two Proportion 2 2 0 070025 11 17 One Sample T Interval 20 0009 11 18 Two Sample 2 11 19 12 Using the Finance Solver Bole KGrOUN Gh T 12 1 Performing TVM calculations 2 12 4 Calculating AIO ZG Ons sooo iecoris seruis uat 6s 12 7 13 Using mathematical functions Malh TUNIC IONS a a TUO 13 1 The RHET 13 1 Math functions by category 2 2 1 020 13 2 Keyboard TUDellOPssss esaet audited din ch uit bes 13 3 Calculus TOMCHONS dra uh Ud 13 6 Complex number 13 7 CONTON 13 8 mti tuts 13 8 ae 13 9 list UNEN ONS 13 10 POOP 13 10 5 13 11 Polynomial 250
2. 9 1 Getting started with the Triangle Solver aplet 9 1 10 Statistics aplet About the Statistics Bplel c d ii etis dee Mead acess 10 1 Getting started with the Statistics 10 1 Entering and editing statistical data 10 6 Defining a regression 10 12 CGMpPUIEO o iei aesti esu Deo 10 14 RR RENS RS 10 15 dis TT 10 16 Fitting a curve do 2 10 17 Setting up the plot Plot setup view 10 18 Trouble shooting a plot esses 10 19 Exploring 39 10 19 Calculating predicted 10 20 11 Inference aplet About the Inference 1 2 11 1 Getting started with the Inference aplet 11 1 Importing sample statistics from the Statistics aplet 11 4 Hypothesis lesls 11 8 One T 11 8 D 11 9 One Proportion 2 i 11 10 TDWe Proportloh Z T65E uoo tret ERE CORE 11 11 edd 11 12 230
3. PLOT FUNCTIONS SIMULTANEOUSLY EE To reset a field to its default values in an input form move the cursor to that field and press DEL To reset all default field values in the input form press CLEAR Mode settings You use the Modes input form to set the modes for HOME HINT Although the numeric setting in Modes affects only HOME the angle setting controls HOME and the current aplet The angle setting selected in Modes is the angle setting used in both HOME and current aplet To further configure an aplet you use the SETUP keys 5 and SHIT NUM Press MODES to access the HOME MODES input form Setting Options Angle Angle values are Measure Degrees 360 degrees in a circle Radians 27 radians in a circle Grads 400 grads in a circle The angle mode you set is the angle setting used in both HOME and the current aplet This is done to ensure that trigonometric calculations done in the current aplet and HOME give the same result Number The number format mode you set is the Format number format used in both HOME and the current aplet Standard Full precision display Fixed Displays results rounded to a number of decimal places Example 123 456789 becomes 123 46 in Fixed 2 format Scientific Displays results with an exponent one digit to the left of the decimal point and the specified number of decimal places Example 123 456789 becomes 1 2
4. 13 11 Probability 13 12 Real number functions eee 13 13 Two variable 5 00000 13 17 TUNGHONS a 13 17 13 18 Trigonometry T ncll ns cui esce ei Hoe ie Riu Ld 13 19 Symbolic COICUIGHONS sis 13 20 Finidihne Gen 13 21 Program constants and physical constants 13 24 Program Con a sdesoois uM 13 24 PAYS GI CS 13 25 14 Variables and memory management MRO GWEN OM 14 1 Storing and recalling 14 2 The VARSATIGIU 14 4 Memory tb pu dde 14 9 15 Matrices tra Ilo 15 1 Creating and storing matrices sss 15 2 Working with matrices admet Catus bM uen ER EAR 15 4 15 6 Solving systems of linear equations 15 8 Matrix functions and 5 00 15 10 Argument conventions
5. knowledge Pressing 8 displays a target quadratic eil done graph The student must mmm manipulate the equation s parameters to make the equation match the target graph When a student feels button evaluates the answer and provide feedback An button is provided for those who give up Getting started Trig Explorer aplet Getting started The Trig Explorer aplet is used to investigate the behaviour of the graph of y asin bx c d as the values of a b cand d change both by manipulating the equation and seeing the change in the graph or by manipulating the graph and seeing the change in the equation Press select Trig Explorer and then press shown right Zu yz SINGH 2220 7 In this mode the graph controls the equation Pressing the 4 and 4 gt keys transforms the ESL graph with these a RAD alokim INCA RESET transformations reflected in the equation The button labelled a toggle between Eit and mug When IMAI control is at the origin 0 0 and 4 wand 90 peer irre me ET keys control vertical and horizontal transformations When fig is chosen the point of control is on the first extremum of the graph i e for the sine graph at 172 1 The arrow keys change the amplitud
6. 1 9 Mode seti ngs 1 10 DEMING uds 1 11 1655005 ducatu ud 1 12 Miele Y AN 1 16 Yes VIEWS 1 16 Aplet view Contiguration ccccccccccccesseeeceesseesceceeseeeeees 1 18 Mathematical edlculatlors te rae E ett 1 19 Usna racions ersa S 1 25 Complex 1 29 and diol 1 30 2 Aplets and their views PS VICE taste eae alee Gate latte ees eh aaah le 2 1 About the Symbolic view sed utate atatum 2 1 Defining an expression Symbolic view 2 EvalifaliriqexpressigliSiusses uec taces x onu tcu UT 2 3 About iie POVE W ed epit 2 5 Setting up the plot Plot view 2 5 Exploring The GOD 2 7 Other views for scaling and splitting the graph 2 13 About the numeric 2 16 Setting up the table Numeric view setup 2 16 Exploring the table of 2 17 Building your own table 2 19 Build Your Own menu keys essen
7. Getting started copy previous line To reuse the last result To repeat a previous line Example Getting started When you highlight a previous input or result by pressing 4 the and EGE menu labels appear Highlight the line press 4 and press The number or expression is copied into the line 55 ANS last answer to put the last result from the HOME display into an expression ANS is a variable that is updated each time you press ENTER To repeat the very last line just press Otherwise highlight the line press A first and then press ENTER The highlighted expression or number is re entered If the previous line is an expression containing the ANS the calculation is repeated iteratively See how ANS retrieves and reuses the last result 50 and updates 45 from 50 to 75 to 100 50 ENTER 25 am FUNCTION mae T BB You use the last result as the first expression in the edit line without pressing ANS Pressing or or other operators that require a preceding argument automatically enters ans before the operator You can reuse any other expression or value in the HOME display by highlighting ne expression using the arrow keys then pressing ts See Using previous results on page 1 22 for more details The variable ans is different from the numbers in HOME
8. 3 USKB v to select L2 Poe oe oe B HEE AKE ER Fe 14 5 14 6 Enter data for L2 HT TIERE Press to access HOME Open the variable menu and select L1 v lv v e STRE PITE OK Copy it to the command line Note Because the option is highlighted the variable s name rather than its contents is copied to the command line FUNCTION Li Em Insert the operator and select the L2 variable from the List variables a SEI FUNCTION 7 7 D BEES Store the answer in the List catalog L3 variable ALPHA 3 145 156 175 155 1473 FUNCTION Note You can also type list names directly from the keyboard TO Variables and memory management Home variables itis not possible to store data of one type a variable of another type For example you use the Matrix catalog to create matrices You can create up to ten matrices and you can store these in variables MO to M9 You cannot store matrices in variables other than MO to 9 Cate gory Available names Complex Graphic Library List Matrix Modes Notepad Program Real ZO to Z9 For ame 1 2 ZO or 243i E 71 You can enter a
9. Ht 8 Fac 3 7 MEM 3 3 Analyse graph 9 with FCN functions Display the Plot view menu ZOOM TRACS GOTO FCM HEHU From the Plot view menu you can use the functions on the FCN menu to find roots intersections slopes and areas for a function defined in the Function aplet and any Function based aplets The FCN functions act on the currently selected graph See FCN functions on page 3 10 for further information To find a root of the 10 the cursor to the graph of the quadratic quadratic function To find the 11 intersection of the two functions 3 4 equation by pressing or v key Then move the cursor so that it is near x 1 by pressing the or 4 key Dr Intersection ASlope 12 area The root value is displayed at the bottom of the screen Note If there is more than one root as in our example the coordinates of the root closest to the current cursor position are displayed ROOT 1 5B57B5H3753 MENU Find the intersection of the two functions Signed area Extremum Function aplet To find the slope of the quadratic function To find the signed area of the two functions Function aplet 12 Choose the linear function whose intersection with the quadratic function you wish to find 08 T
10. The following set of equations 2 32 14 2 2 3 Ax 2y 22 14 can be written as the augmented matrix 1 2 3 14 2 1 1 3 4 2 2114 which then stored as a 3 4 real matrix any matrix variable M1 is used in this example 1 EDIT 50 Ea You can use the RREF TRAD FUNCTION function to change this to reduced row echelon form 2 storing it in any matrix SE ENA variable M2 is used in this BEONE example The reduced row echelon matrix gives the solution to the linear equation in the fourth column An advantage of using the RREF function is that it will also work with inconsistent matrices resulting from systems of equations which have no solution or infinite solutions For example the following set of equations has an infinite number of solutions 2 5 2 7 2 2 2 Matrices Matrices The final row of zeros in the reduced row echelon form of the augmented matrix indicates an inconsistent system with infinite solutions 15 15 Lists 16 Create a list in the List Catalog Lists You can do list operations in HOME and in programs A list consists of comma separated real or complex numbers expressions or matrices all enclosed in braces A list may for example contain a sequence of real numbers such as 1 2 3 If the Decimal
11. Press 19 to close the computed statistics window 11 5 Open Inference aplet Select inference method and type Set up the interval calculation Open the Inference aplet and clear current settings Select Inference SESAME STAT HETHOD Oe ee Tests ALT HYFOTH Choose gn inFerentigl nethod See WE STAT SYMEOLIC VIEH METHOD M E 1 IHT an inFgrentigl nethod Select a distribution statistic type Select T Int 1u SERENEIMF STAT SYMBOLIC VEH METHOD TYPE Choose distribution statistic Set up the interval calculation Note The default values are derived from sample data from the on line help example Setup NUM Azan EDIT 1 Inference aplet Import the data Display Numeric view Display Plot view Inference aplet 10 Import the data from the Statistics aplet Note The data from is displayed by default the statistics hice importing them into the Numeric Setup view IMPORT SAMPLE STATS 1292 n sx a caroge COLUKM Stat data colunn OK Also if there is more than aplet based on the Statistics aplet you are prompted to choose one 11 Specify a 90 mese
12. 18 30 Slat Two COMMANA S nose eom etae eter esee ne 18 30 Storing and retrieving variables in programs 18 31 Plotview variables 5 nodo leisten tuba aut 18 32 Symbolic view variables 2 1 77 18 39 Numeric view 1 2 2 2202 002702 18 41 OTS GING E A 18 44 SKGICN VENI GD 18 44 19 Extending aplets Creating new aplets based on existing aplets 19 1 Using a customized 19 3 ded 19 3 Annotating an aplet with notes 1 0 2 020002 19 4 Annotating an aplet with sketches 19 4 Downloading e lessons from the 19 4 Sending and receiving aplets 19 4 Sorting items in the aplet library menu list 19 6 Reference information oro m PC R Resetting the CEO rta Are R 3 To erase all memory and reset defaults R 3 If the calculator does not turn 4 4 slew c
13. START contiguration settings for the graphical tabular and Getting started Getting started symbolic views of the aplets in the following table See Aplet view configuration on page 1 18 for further information Aplet Use this aplet to explore name Function Real valued rectangular functions y in terms of x Example y 2x 3 5 Inference Confidence intervals and Hypothesis tests based on the Normal and Students t distributions Parametric Parametric relations x and y in terms of t Example cos f and y sin Polar Polar functions rin terms of an angle 0 Example 2cos 40 Sequence Sequence functions U in terms of n or in terms of previous terms in the same or another sequence such as U and U Example U 0 0 1 angu Do EL s Solve Equations in one or more real valued variables Example x 1 x x 2 Finance Time Value of Money TVM calculations Linear Solutions to sets of two or three linear Solver equations Triangle Unknown values for the lengths and Solver angles of triangles Statistics One variable x or two variable x and y statistical data In addition to these aplets which can be used in a variety of applications the HP 3995 is supplied with two teaching aplets Quad Explorer and Trig Explorer You cannot modify configuration settings for these aplets A great many more teaching aplets can be found at HP s web site and ot
14. 4 F5CHO 2 Enter the expressions in the Function aplet s Symbolic view ALPHA A x 2 89 ALPHA ALPHA 0 Bl 0 ALPHA F2 0 E D 3 Highlight F3 X 4 Press Note how the values F1 X and F2 X are substituted into F3 X FUNCTION SYMEOLIC WF ICaISASAe BT TM RR FUNCTION SYMEOLIC VIEH SERERE fF ICAI FUNCTION SYMEOLIC FICO BENB WF2CK B FSCKI 2 3 SYMB view keys 2 4 You can also evaluate any expression in HOME by entering it into the edit line and pressing ENTER For example define F4 as below In HOME type F4 9 and press ENTER This evaluates the expression substituting 9 in place of X into F4 FUNCTION SYMEOLIC FLICK ISARKE vF B 1 FUNCTION 4 92 262 zT The following table details the menu keys that you use to work with the Symbolic view Key Meaning EDIT EWAL Copies the highlighted expression to the edit line for editing Press when done Checks unchecks the current expression or set of expressions Only checked expression s are evaluated in the Plot
15. SAVE APLET MAME TRIANGLES TRIANGLES SYMEOLIC VIEH SERES Ei SIN 83 0 H 2 COS 8 3 A H ES THHB 2 0 A 4 2 2 EDIT ALPHA ALPHA ALPHA x2 ALPHA B E ALPHA C x7 ENTER 3 Decide whether you want the aplet to operate in Degrees Radians or Grads MODES Degrees CHOOSE ANGLE MEASURE 1 4 View the Aplet Library The TRIANGLES aplet is listed in the Aplet Library The Solve aplet can now be reset and used for other problems 19 2 Statistics Funct ion Extending aplets Using a customized aplet To use the Triangles aplet simply select the appropriate formula change to the Numeric view and solve for the missing variable Find the length of a ladder leaning against a vertical wall if it forms an angle of 35 with the horizontal and extends 5 metres up the wall 1 Select the aplet TRIANGLES SYMEOLIC VIEH SERERE ER COSCA SAH APLET fWE4 Ae be Ce Z EVAL 2 Choose the sine formula SEE TRIANGLES SYHEULIC in El H zi 4 4 62 2 EDIT W CHE ES Se 3 to the Numeric Re TRIANGLES MUMERIC 2555555 view an
16. 4 Em 6 pte eae rections R 6 Function aplet 2 2 R 7 Parametric aplet variables R 8 Polar aplet variables R 9 Sequence aplet R 10 Solve aplet variables cire dead ei adip ads R 1 1 Statistics aplet R 12 MATH menu categories R 13 Math IU eee R 13 EEE ENE 15 Physical Consan uestes titio ties IR LU R 16 Program COMMONS disp Ret ei unes 17 SIgIUS Te R 18 Limited Warranty M MS W 3 Regulatory 2 W 5 Index Preface The HP 3995 is a feature rich graphing calculator It is also a powertul mathematics learning tool The HP 39gs is designed so that you can use it to explore mathematical functions and their properties You can get more information on the HP 39gs from Hewlett Packard s Calculators web site You can download customized aplets from the web site and load them onto your calculator Customized aplets are special applications developed to perform certain functions and to demonstrate mathematica
17. EDT Enters the independent variable by inserting X T 0 or N into the edit line depending on the current active aplet SEE Deletes the character under the SHIFT CLEAR cursor Acts as a backspace key if the cursor is at the end of the line Clears all data on the screen Ona settings screen for example Plot Setup CLEAR returns all settings to their default values Moves the cursor around the display Press first to move to the beginning end top or bottom Getting started Meaning Continued CHARS Displays a menu of all available characters To type one use the arrow keys to highlight it and press fii To select multiple characters select each and press then press Shifted keystrokes There are two shift keys that you use to access the operations and characters printed above the keys ALPHA Key Description Press the key to access the operations printed in blue above the keys For instance to access the Modes screen press SHIFT then press HOME MODES is labeled in blue above the key You do not need to hold down when you press HOME This action is depicted in this manual as press MODES To cancel a shift press again ALPHA The alphabetic keys are also shifted keystrokes For instance to type Z press ALPHA Z The letters are printed in orange to the lower right of each key To cancel Alpha press A
18. Es 2 F5CH You can change the scales of the x and y axes graph resolution and the spacing of the axis ticks 9 Display plot settings SHIFT SETUP PLOT FUMCTIOM PLOT SETUP 5 3 2 1 3 2 STICK 1 TICE 1 RE Detail EXTER MINIMUM HORIZONTAL VALUE EDIT PAGE F Note For our example you can leave the plot settings at their default values since we will be using the Auto Scale feature to choose an appropriate y axis for our x axis settings If your settings do not match this example press SHIFT CLEAR fo restore the default values Specify a grid for the graph FUNCTION PLOT SETUP TR v SIMULT INY CROSS gt v v ECHE v COMMECT _ LABELS wf ANES GRID DERE GRID CHE PAGE Plot the functions n n Fli n 1 EAT Function aplet Change the scale Trace a graph Function aplet 6 You can change the scale to see more or less of your graphs In this example choose Auto Scale See VIEWS menu options on page 2 13 for a description of Auto Scale Select Auto jaggy meme o ae vpqPlot Detail scale Ha vFz Plot Table Owerlay Flot 7 Trace the linear function 4 6 times n Bh Flin 1 6 HEHU Note By default the tracer is active 8 Jump from the linear function to the quadratic function
19. For the next examples store 1 2 3 4 into M1 and 5 6 7 8 into M2 Example 1 Create the first matrix 5 SHIFT MATRIX 09 1 2 ENTER 3 4 emr iw 2 Create the second matrix SHIFT MATRIX 09 5 RITE v 7 ENTER 8 Tur Matrices multiply and divide by a scalar To multiply two matrices To raise a matrix to a power 3 Add the matrices that Sm you created FUNCTION 1 2 1 22 81 18 1211 ALPHA 2 SSS For division by a scalar enter the matrix first then the operator then the scalar For multiplication the order of the operands does not matter The matrix and the scalar can be real or complex For example to divide the result of the previous example by 2 press the following keys 2 Ea RAD FUNCTION 11 12 LLS 2 1 12 Ans CL3 4 954 611 To multiply the two matrices M1 M2 that you created for the previous example press the following keys ALPHA 1 x ALPHA M oe _ FUNCTION n na 2 L2 41 5 611 2 To multiply a matrix by a L19 221 43 581 tor enter the matrix aid first then the vector number of elements in the vector must equa
20. 11 1 Inference aplet s SYMB view keys The table below summarizes the options available in Symbolic view Hypothesis Confidence Intervals Tests Z 1 u the Z Test on mean Z u the Z Test on the difference of two means Z 1 m the Z Test on 1 proportion Z n n2 Z Test on the difference in two proportions T the T Test on 1 mean T the T Test on the difference of two means Z Int 1 u the confidence interval for 1 mean based on the Normal distribution Z Int the confidence interval for the difference of two means based on the Normal distribution Z Int 1 z the confidence interval for 1 proportion based on the Normal distribution Z nt x1 x2 the confidence interval for the difference of two proportions based on the Normal distribution Tnt 1 u the confidence interval for 1 mean based on the Student s t distribution T Int u the confidence interval for the difference of two means based on the Student s t distribution IF you choose one of the hypothesis tests you can choose the alternative hypothesis to test against the null hypothesis For each test there are three possible choices for an alternative hypothesis based on a quantitative comparison of two quantities The null hypothesis is always that the two quantities are equal Thus the alternative hypotheses cover the various cases for the two quantities being u
21. 4 to highlight a command category then press to access the commands the category Select the command that you want v v gt v SENSN PROGRAM COMMANDS let Branch ERASE Graphic FREEZE DE Press to paste the command into the program editor Press SHIFT PROGRM to open the Program catalog PROGRAM Box PS TOR SPACE ESP PROGRAM CATALOG MY PROG Editline H3KB EDIT HEH Use the arrow keys to highlight the program you want Program Editor The name of your program appears in the title bar of the display You can use the following keys to edit your program 18 5 Editing keys The editing keys are CLEAR MATH SHIFT CMDS CHARS Meaning Inserts 3 character at the editing point Inserts space into text Displays previous page of the program Displays next page of the program Moves up or down one line Moves right or left one character Alpha lock for letter entry Press A Z to lock lower case Backspaces cursor and deletes character Deletes current character Starts a new line Erases the entire program Displays menus for selecting variable names contents of variables math functions and program constants Displays menus for selecting program conmmands Displays a
22. After installing the batteries press to turn the power on Warning It is recommended that you replace this battery every 5 years When the low battery icon is displayed you need to replace the batteries as soon as possible However avoid removing the backup battery and main batteries at the same time to avoid data lost R 5 Variables Home variables The home variables are Category Available name Complex Graphic Library List Matrix Modes Notepad Program Real 5 2090 61 269 80 Function Parametric Polar sequence Solve Stats tics User named 9 350 M1 M9 MO Ans Date HAngle HDigits HFormat lerr Time User named Editline User named Aij 0 R 6 Function aplet variables The function aplet variables are Category Available name Plot Axes Xcross Connect YCross Xtick FastRes Ytick Grid Xmin Indep Xmax InvCross Ymin Labels Ymax Recenter Xzoom Simult Yxoom Tracing Plot FCN Area Root Extremum Slope Isect Symbolic Angle F6 F1 F7 F2 F8 F3 F9 F4 FO F5 Numeric Digits NumRow Format NumStart NumCol NumStep NumFont NumType NumIndep NumZoom Note NoteText Sketch Page PageNum R 7 Parametric aplet variables The parametric aplet variables are R 8 Category Available name Plot Axes Tracing Connect Tstep Coord Xcross Grid YCross Indep Xtick InvCross Labels Xmin Recenter Xmax S LIBE
23. creates a graphic display like that created by the SHOW operation GROB graphicname expression fontsize Replaces graphic in graphicname with bitwise inverted graphic GROBNOT graphicname Using the logical OR superimposes graphicname2 onto graphicname 1 The upper left corner of graphicname2 is placed at position GROBOR graphicname position graphicname2 Example GROBOR GO 1 1 G1 18 21 Programming GROBXOR MAKEGROB PLOT gt PLOT REPLACE SUB 18 22 will superimpose G1 onto GO starting a position 1 1 where the position is given in terms of the current axes settings not as a pixel position Using the logical superimposes graphicname2 onto graphicname 1 The upper left corner of graphicname2 is placed at position GROBXOR graphicname 1 position graphicname2 Creates graphic with given width height and hexadecimal data and stores it in graphicname MAKEGROB graphicname width height hexdata Stores the Plot view display as a graphic in graphicname PLOT graphicname PLOT and DISPLAY can be used to transfer a copy of the current PLOT view into the sketch view of the aplet for later use and editing Example 1 PageNum PLOT Page DISPLAY Page FREEZE This program stores the current PLOT view to the first page in the sketch view of the current aplet and then displays the sketch as a graphic object until any key is pressed
24. 15 6 25 64883 2 E15 ELE Implied multiplication takes place when two operands appear with no operator in between If you enter AB for example the result is A B Getting started HINT Parentheses Getting started However for clarity it is better to include the multiplication sign where you expect multiplication in an expression It is clearest to enter AB as A B Implied multiplication will not always work as expected For example entering 4 will not give A B 4 Instead an error message is displayed Invalid User Function This is because the calculator interprets 44 as meaning evaluate function A at the value B 4 and function A does not exist When in doubt insert the sign manually You need to use parentheses to enclose arguments for functions such as SIN 45 You can omit the final parenthesis at the end of an edit line The calculator inserts it automatically Parentheses are also important in specifying the order of operation Without parentheses the HP 39gs calculates according to the order of algebraic precedence the next topic Following are some examples using parentheses Entering Calculates SIN 45 n sin 45 SIN 45 D SHIFT sin 45 v 85 9 1 85 x 9 9850 90 185 x 9 1 21 Algebraic precedence order of evaluation Largest and smallest numbers Clearing
25. 2 4 3 9 4 16 Trouble shooting a plot If you have problems plotting check that you have the following correct menu label on Numeric view correct fit regression model if the data set is two variable Only the data sets to compute or plot are checkmarked Symbolic view The correct plotting range Try using Auto Scale instead of PLor or adjust the plotting parameters in Plot Setup for the ranges of the axes and the width of histogram bars HWIDTH In EIE mode ensure that both paired columns contain data and that they are the same length In mode ensure that a paired column of frequency values is the same length as the data column that it refers to Exploring the graph The Plot view has menu keys for zooming tracing and coordinate display There are also scaling options under views These options are described in Exploring the graph on page 2 7 Statistics aplet s PLOT view keys Erases the plot Offers additional pre defined views for splitting the screen overlaying plots and autoscaling the axes Moves cursor to far left or far right Statistics aplet 10 19 Meaning Continued Displays ZOOM menu Turns trace mode on off The white box appears next to the option when Trace mode is active Turns fit mode on or off Turning on draws a curve to fit the data points according to the current regression model 2var Enables
26. Access FCN variables Function aplet From the Plot view PLOT you can use the functions on the FCN menu to find roots intersections slopes and areas for a function defined in the Function aplet and any Function based aplets See FCN functions on page 3 10 The FCN operations act on the currently selected graph The results of the FCN functions are saved in the following variables e Area Extremum e sect Root Slope For example if you use the Root function to find the root of a plot you can use the result in calculations in HOME Bd RAD FUNCTION exREaaot zr 3x xIREnat ta H29437251204 3 7779 The FCN variables are contained on the VARS menu To access FCN variables in HOME Select Plot FCN gt a or v to choose a To access FCN variable in the Function aplet s Symbolic view Select Plot FCN A or v to choose a variable 3 9 FCN functions The FCN functions are Function Description Root Select Root to find the root of the current function nearest the cursor If no root is found but only an extremum then the result is labeled EXTR instead of ROOT roottinder is also used in the Solve aplet See also Interpreting results on page 7 6 The cursor is moved to the root value on the x axis and the resulting x value is saved in a variable named ROCT Extremum Select Extremum to find the maximum or minimum of the curre
27. HP warrants to you the end user customer that HP hardware accessories and supplies will be free from defects in materials and workmanship after the date of purchase for the period specified above If HP receives notice of such defects during the warranty period HP will at its option either repair or replace products which prove to be defective Replacement products may be either new or like new HP warrants to you that HP software will not fail to execute its programming instructions after the date of purchase for the period specified above due to defects in material and workmanship when properly installed and used If HP receives notice of such defects during the warranty period HP will replace software media which does not execute its programming instructions due to such defects HP does not warrant that the operation of HP products will be uninterrupted or error free If HP is unable within a reasonable time to repair or replace any product to a condition as warranted you will be entitled to a refund of the purchase price upon prompt return of the product with proof of purchase HP products may contain remanufactured parts equivalent to new in performance or may have been subject to incidental use Warranty does not apply to defects resulting from a improper or inadequate maintenance or calibration b software interfacing parts or supplies not supplied by HP c unauthorized modification or misuse d operati
28. In program type 1 gt FastRes for faster 0 FastRes for more detail default Programming All Aplets Hmin Hmax Statistics Hwidth Statistics Indep All Aplets InvCross All Aplets Programming Turns the background grid in Plot view on or off From Plot setup check or uncheck __GRID or In a program type 1 gt Grid to turn the grid on 0 gt Grid to turn the grid off default Defines minimum and maximum values for histogram bars From Plot Setup for one variable statistics set values for HRNG or In a program type nj gt Hmin n b Hmax where n gt n Sets the width of histogram bars From Plot Setup in 1VAR stats set a value for Hwidth or In a program type nb Hwidth Detines the value of the independent variable used in tracing mode In a program type nb Indep Toggles between solid crosshairs or inverted crosshairs Inverted is useful if the background is solid From Plot Setup check or uncheck __InvCross or In a program type 1 gt InvCross to invert the crosshairs 0 gt InvCross for solid crosshairs default 18 33 Isect Function Labels All Aplets Nmin Nmax Sequence Recenter All Aplets Root Function 18 34 Contains the last value found by the Intersection function in the Plot FCN menu Draws labels in Plot view showing X and Y ranges From Plot Setup check or uncheck __Labels or In a program type
29. Result Description Test T T Test statistic Prob Probability associated with the T Test statistic Critical T Boundary values of T associated with the a level that you supplied Confidence intervals The confidence interval calculations that the HP 3905 can perform are based on the Normal Z distribution or Student s t distribution One Sample Z Interval Menu name ZANT 1 This option uses the Normal Z distribution to calculate a confidence interval for m the true mean of a population when the true population standard deviation s is known Inputs The inputs are Field Definition name Sample mean Population standard deviation n Sample size Confidence level Inference aplet 11 15 Results The results are Result Description Critical Z u min max Critical value for Z Lower bound for Upper bound for Two Sample Z Interval Menu name Z INT u1 u2 This option uses the Normal Z distribution to calculate a confidence interval for the difference between the means of two populations when the population standard deviations o are known Inputs The inputs are Field name Definition x1 2 n n2 o1 O02 e Sample 1 mean Sample 2 mean Sample 1 size Sample 2 size Population 1 standard deviation Population 2 standard deviation Confidence level Results The r
30. STATISTICS SYMEDLIC SETUPS ANGLE MEASURE Radians EFIT Linear v REDDE 1 s nLinear Select Linear s5FIT L i near CHOOSE STATISTICS MODEL TYPE You create up to five explorations of two variable data named 51 to 55 In this example we will create just one S1 Specify the columns that hold the data you want to analyze SYMB SEE STATISTICS TRMEOLIC e 7S1 You could have entered EL 1 m z b your data into columns Fite m b other than c1 and c2 ENTER INDEPENDENT EDIT CHE Find the mean advertising time and the mean sales MEANY NUM awak 51 22202 MEANX is 3 3 minutes FERNY Ee and MEANY is about fva laaagaras 1 796 3 23333333333 Scroll down to display the value for the correlation coefficient CORR The CORR value indicates how well the linear model fits the data 9 times The value is 8995 SE ELE 995309 EL Dm 599530920561 SSS pee EET 10 3 Setup plot Plot the graph Draw the regression curve Display the equation for best linear fit 10 4 8 Change the plotting range to ensure all the data points are plotted and select a different point mark if you wish SETUP PLOT gt 7 ENTER 100 ENTER 4000 ENTER 9 Plot the graph STATIS
31. Solve aplet 5 Move the cursor near the positive right side intersection This cursor value will be an initial guess for T Press until the cursor is at the intersection The two points of 3 4 E1 30 MENU intersection show that there are two solutions for this equation However only positive values for X make sense so we want to find the solution for the intersection on the right side of the y axis 6 Return to the Numeric WEL view ENTER VALUE PRES 20LYE Note the T value is filled in with the position of the cursor from the Plot view 7 Ensure that the 7 value is highlighted and solve the equation SOLVE NUMERIC ENTER VALUE DR PRESS SOLVE EDIT INFO ee SE Use this equation to solve for another variable such as velocity How fast must a body s initial velocity be in order for it to travel 50 m within 3 seconds Assume the same acceleration 4 m s2 Leave the last value of V as the initial guess OLVE NUMERIC 3 20 0 50 ENTER n8 ETITEIT3 amp 4 s EMTER VALUE PRES OLYE IMFO Solve aplet 79 Using variables equations Home variables HINT Aplet variables 7 10 You can use any of the real variable names A to Z and 0 Do not use variable names defined for other type
32. Using mathematical functions Physical constants Using mathematical functions To access the menu of program constants Press MATH Press ATA Use the arrow keys to navigate through the options Click BE and then ENTER to display the number agree to the option you selected in the previous step The use of program constants is illustrated in more detail in Programming on page 18 1 There are 29 physical constants from the fields of chemistry physics and quantum mechanics that you can use in calculations A list of all these constants can be found in Physical Constants on page R 16 To access the menu of physical constants 2 Press MATH Press Huossdre Boltz mol With univ COM DE Use the arrow keys to navigate through the options 4 To see the symbol and value of a selected constant press iia Click to close the information window that The following example shows the information available about the speed of light one of the physics constants 2 XI COMA TARTS 4 SU To use the selected constant a calculation press The constant appears at the position of the cursor on the edit line 13 25 Example Suppose you want to know the potential energy of a mass of 5 units according to the equation E mc 1 Enter 5 2 Avogad
33. 1 H4 1 7 ENTER SAMPLE DEDIT 10 9 Save data Edit a data set 10 10 6 Return to the numeric view NUM 7 Enter the frequency data shown in the above table gt 5 ENTER 3 ENTER 8 ENTER 2 ENTER 1 CENTER 8 Display the computed statistics The mean height is approximately 167 63cm I 16 651575947 9 Setup a histogram plot for data DIM SHIFT SETUP PLOT Enter set up information appropriate to your ata 10 Plot a histogram of the data SESS STATISTICS PLOT SETUP STATPLOT Hist HHIDTH 5 1560 155 RAG 2 14 HENG 164 185 ENTER MAXIMUM HISTOGRAM VALUE HT H1 160 165 5 HEHU The data that you enter is automatically saved When you are finished entering data values you can press a key for another Statistics view like or you can switch to another aplet or HOME In the Numeric view of the Statistics aplet highlight the data value to change Type a new value and press Or press to copy the value to the edit line for modification Press after modifying the value on the edit line Statistics aplet Delete data Insert data Sort data values Statistics aplet To delete a single data item highlight it and press DEL The values below the deleted
34. 2 7 15 10 PVC TONE NOM Li E LE REESE 15 10 UELLE 15 13 16 Lists Displaying and editing 2 16 4 Deleting lists seriosi iiaii T 16 6 Transmitting isean E T 16 6 16 6 Finding statistical values for list elements 16 9 17 Notes and sketches UI UIC INO 17 1 VIEN Coi cuius E ii i 17 1 je skei h vie 17 3 Af italic 21 c10 oe 17 6 18 Programming s 18 1 Prog eU 18 2 Creating and editing programs 18 4 USMO OPO GIONS 18 Customizing 18 9 seed 18 10 MA ee 18 10 Programming commas sis dace eet eroe De ou ueste nodus 18 13 command 18 14 Branch command 18 17 Gi COMMENS 18 19 Graphic commnanN dS 18 21 loop commands 18 23 NAGI COMMONS See E ES 18 24 Piin commend aa et hea idee aan 18 26 PROMI DE commands achat 18 26 Stat One and StatTwo commands
35. An equation contains an equals sign Its solution is a value for the unknown variable that makes both sides have the same value An expression does not contain an equals sign Its solution is a root a value for the unknown variable that makes the expression have a value of zero You can use the Solve aplet to solve an equation for any one of its variables When the Solve aplet is started it opens in the Solve Symbolic view n Symbolic view you specify the expression or equation to solve You can define up to ten equations or expressions named EO to E9 Each equation can contain up to 27 real variables named A to Z and 0 n Numeric view you specify the values of the known variables highlight the variable that you want to solve for and press 1813 You can solve the equation as many times as you want using new values for the knowns and highlighting a different unknown Nolte It is not possible to solve for more than one variable at once Simultaneous linear equations for example should be solved using the Linear Solver aplet matrices or graphs in the Function aplet Solve aplet 7 1 Getting started with the Solve aplet Suppose you want to find the acceleration needed to increase the speed of a car from 16 67 m sec 60 kph to 27 78 m sec 100 kph in a distance of 100 m The equation to solve is V uU 24D Open the Solve 1 Open the Solve aplet aplet
36. Boren photon wavelength 2 photon frequency Compt w Compton wavelength Ac Program commands The program commands are Category Command Aplet CHECK SELECT SETVIEWS UNCHECK Branch IF CASE THEN IFERR ELSE RUN END STOP Drawing ARC LINE BOX PIXOFF ERASE PIXON FREEZE TLINE Graphic DISPLAY MAKEGROB DISPLAY PLOT GROB PLOT GROBNOT REPLACE GROBOR SUB GROBXOR ZEROGROB loop FOR UNTIL END TO WHILE STEP REPEAT END END DO BREAK Matrix ADDCOL REDIM ADDROW REPLACE DELCOL SCALE DELROW SCALEADD EDITMAT SUB RANDMAT SWAPCOL SWAPROW Print PRDISPLAY PRHISTORY PRVAR Prompt BEEP FREEZE CHOOSE GETKEY CLRVAR INPUT DISP MSGBOX DISPXY PROMPT DISPTIME WAIT EDITMAT Stat One DOIVSTATS SETFREQ RANDSEED SETSAMPLE Status messages Category Command Continued Stat Two DO2VSTATS SETDEPEND SETINDEP Message Meaning Bad Argument Incorrect input for this Type Bad Argument Value Infinite Result Insufficient Memory Insufficient Statistics Data Invalid Dimension Invalid Statistics Data operation The value is out of range for this operation Math exception such as 1 0 You must recover some memory to continue operation Delete one or more matrices lists notes or programs using catalogs or custom not built in aplets using MEMORY Not enough data points for the calculation For two variable statistics ther
37. DEL Clears highlighted variable to zero or deletes current character in edit line if edit line is active CLEAR Resets all variable values to zero or clears the edit line if cursor is in edit line Use an initial guess You can usually obtain a faster and more accurate solution if you supply an estimated value for the unknown variable before pressing mam Solve starts looking for a solution at the initial guess Before plotting make sure the unknown variable is highlighted in the numeric view Plot the equation to help you select an initial guess when you don t know the range in which to look for the solution See Plotting to find guesses on page 7 7 for further information An initial guess is especially important in the case of a curve that could have more than one solution In this case only the solution closest to the initial guess is returned Number format You can change the number format for the Solve aplet in the Numeric Setup view The options are the same as in HOME MODES Standard Fixed Scientific and Engineering For the latter three you also specify how many digits of accuracy you want See Mode settings on page 1 10 for more information You might find it handy to set a different number format for the Solve aplet if for example you define equations to solve for the value of money A number format of Fixed 2 would be appropriate in this case Solve aplet 7 5 Inter
38. Enter INVERSE matrixname in HOME and press You can change the sign of each element in a matrix by pressing before the matrix name Solving systems of linear equations Example Solve the following linear system 2X 4 gt 2 5 xty z 7 4 27 1 1 Open the Matrix qu nen Sara TIT P d SESSS CREATE EH catalog and create M Real matrix 1 vector anal pale deu Complex vector sHiFT MATRIX v Matrices Matrices Create the vector of the constants in the linear sysiem 5 CENTER 7 ENTER 1 ENTER Return to the Matrix Catalog SHIFT MATRIX In this example the vector you created is listed as M1 Create a new matrix Fee Select Real matrix 9 Enter equation coefficients 2 ENTER 3 ENTER A ENTER v 1 ENTER 1 ENTER C3 1 ENTER 4 ENTER 7 1 ENTER 2 ENTER Mz 181 REAL MRTRIM 181 REAL MRTRIM KE 4 181 REAL MRTRIM KE 5 REAL MRTRIN JUKE EDIT WEH ee ES n CREATE Real matrix vector Complex matrix Complex vector EWT i In this example the matrix you created is listed as M2 Return to HOME and enter the calculation to left multip
39. In a program store one of the following constant numbers or names into a variable S1fit S2fit etc 1 2 3 8 9 Linear LogFit ExpFit Power QuadFit Logist ExpFit TrigFit 10 User Defined Example Cubic S2fit or 6 gt S2fit Programming Numeric view variables C1 C9 CO Statistics Digits All Aplets Format All Aplets Programming The following aplet variables control the Numeric view The value of the variable applies to the current aplet only CO through C9 for columns of data Can contain lists Enter data in the Numeric view or In a program type LIST Cn wheren 0 1 2 3 9 Number of decimal places to use for Number format in the HOME view and for labeling axes in the Plot view From the Modes view enter a value in the second field of Number Format or In a program type n gt Digits where 0 lt n lt 11 Defines the number display format to use for numeric format in the HOME view and for labeling axes in the Plot view From the Modes view choose Standard Fixed Scientific Engineering Fraction or Mixed Fraction in the Number Format field or In a program store the constant number or its name into the variable Format It Standard 2 Fixed 4 gt Fraer Lon 6 MixFraction 18 41 NumCol All Aplets except Statistics aplet NumFont Function Parametric Polar Sequence Statistics Function Paramet
40. Puts graph from graphicname into the Plot view display PLOT graphicname Replaces portion of graphic in 1 with graphicname2 starting at position REPLACE also works for lists and matrices REPLACE graphicname l position graphicname2 Extracts a portion of the named graphic or list or matrix and stores it in a new variable name The portion is specified by position and positions SUB name graphicname position positions Programming ZEROGROB Creates a blank graphic with given width and height and stores it in graphicname ZEROGROB graphicname width height Loop commands Loop hp allow a program to execute a routine repeatedly The HP 39gs has three loop structures The example programs below illustrate each of these structures incrementing the variable A from 1 to 12 DO UNTIL END Until End is a loop command that executes the loop clause repeatedly until test clause returns a true nonzero result Because the test is executed after the loop clause the loop clause is always executed at least once lts syntax is DO loop clause UNTIL testclause END 1 A DO A 1P A DISP A UNTIL A 12 END WHILE While Repeat End is a loop command that REPEAT repeatedly evaluates fest clause and executes loop clause END sequence if the test is true Because the test clause is executed before the loop clause the loop clause is not executed if th
41. Sequence 22 I met 10r Solve aplet starts in LUPCEI the symbolic view SEE ee Define the 2 Define the equation equation ALPHA X SOLVE SYMBOLIC BERE MES WE Vs Wea le 2ehe gt E ALPHA U ES 4 26 ES 7 ALPHA D Note You can use menu key to assist in the entry of equations Enter known 3 Display the Solve numeric view screen variables SOLVE AUMERIC NUM ee Ee 7 2 Solve aplet Solve the unknown variable Plot the equation Solve aplet 4 Enter the values for the known variables ENTER SOLVE AURERIC u 5 0 00 160676 5 16 67 1A WALUE IS 100 FN SOLVE If the Decimal Mark setting in the Modes input form SHIFT MODES is set to Comma use instead of 5 Solve for the unknown variable 4 v v SOLVE NUMERIC VIEH ENTER VALUE PRESS SOLVE EDIT IMFO DEFH gt OLVE Therefore the acceleration needed to increase the speed of a car from 16 67 m sec 60 kph to 27 78 m sec 100 kph in a distance of 100 m is approximately 2 47 m s2 Because the variable A in the equation is linear we know that we need not look for any other solutions The Plot view shows one graph for each side of the selected equation You can choose any of the variables to be the independent variable The c
42. Two variable Plotting Statistics aplet Mean of x independent values Sum of x values Sum of x values Mean of y dependent values Sum of y values Sum of y values Sum of each xy Sample covariance of independent and dependent data columns Population covariance of independent and dependent data columns Correlation coefficient of the independent and dependent data columns for a linear fit only regardless of the Fit chosen Returns a value from O to 1 where 1 is the best fit RELERR The relative error for the selected fit Provides a measure of accuracy for the fit You can plot histograms boxand whisker plots scatter plots EDETTI Once you have entered your data defined your data set and defined your Fit model for two variable statistics SHiFT SETUP SYMB you can plot your data You can plot up to five scatter or box and whisker plots at a time You can plot only one histogram at a time 10 15 To plot statistical data Plot types Histogram Box and Whisker Plot 10 16 1 In Symbolic view select the data sets you want to plot 2 For one variable data select the plot type in Plot Setup SHIFT SETUP PLOT Highlight STATPLOT press ITI select either Histogram or BoxWhisker and press BIB For any plot but especially for a histogram adjust the plotting scale and range i
43. a sin bx Needs at least three points User Defined Define your own expression in Symbolic view In Numeric view make sure is set Display the Symbolic view Highlight the Fit expression Fit1 etc for the desired data set 4 Type in an expression and press ENTER The independent variable must be X and the expression must not contain any unknown variables Example 1 5 x cosx 0 3 x sinx This automatically changes the Fit type S1FIT etc in the Symbolic Setup view to User Defined 10 13 Computed statistics Sse aon Number of data points Sum of data values with their frequencies Mean value of data set Population variance of data set Sample variance of data set Population standard deviation of data set Sample standard deviation of data set Minimum data value in data set First quartile median of values to left of median Median value of data set Third quartile median of values to right of median Maximum data value in data set When the data set contains an odd number of values the data set s median value is not used when calculating Q1 and Q3 in the table above For example for the following ode Ty T6 1 only the first three items 3 5 and 7 are used to calculate Q1 and only the last three terms 15 16 and 17 are used to calculate Q3 One variable Q1 MEDIAN Q3 data set 10 14 Statistics aplet
44. displaying definitions 3 8 evaluating variables in view 2 3 setup view for statistics 10 12 symbolic functions where 13 18 equals 13 17 ISOLATE 13 17 LINEAR 13 17 QUAD 13 18 QUOTE 13 18 Symbolic view defining expressions 3 2 syntax 13 2 syntax errors 18 7 T table navigate around 3 8 numeric values 3 7 numeric view setup 2 16 tangent 13 4 inverse hyperbolic 13 9 Taylor polynomial 13 7 Orng 2 6 2 6 tickmarks for plotting 2 6 time 13 14 1 11 setting 18 28 time converting 13 14 times sign 1 20 tmax 18 36 tmin 18 36 too few arguments R 19 tracing functions 2 8 more than one curve 2 8 not matching plot 2 8 plots 2 8 transmitting lists 16 6 matrices 15 4 programs 18 8 transposing a matrix 15 13 Triangle Solver aplet 9 1 trigonometric fit 10 13 functions 13 19 scaling 2 10 2 14 2 15 trigonometry functions ACOT 13 19 ACSC 13 20 ASEC 13 20 COT 13 20 CSC 13 20 SEC 13 20 trng 2 6 truncating values to decimal places 13 16 tstep 2 6 18 37 Two Proportion Z Interval 11 17 Two Proportion Z Test 11 11 Two Sample T Interval 11 19 Two Sample T test 11 14 Two Sample Z Interval 11 16 typing letters 1 6 U undefined name R 19 result R 19 un zoom 2 11 upper tail chi squared probability 13 13 upper tail normal probability 13 13 I 12 upper tail Snedecor s F 13 13 upper tail student s t probability 13 13 USB connectivity 19 5 user defined regression fit 10 13 V value
45. menu key label Getting started Annunciators Annunciators are symbols that appear above the title bar and give you important status information Annunciator Description Shift in effect for next keystroke To cancel press SHIFT again Alpha effect for next keystroke To cancel press ALPHA again e Low battery power Busy gt gt Data is being transferred via infrared or cable Menu keys HP 3995 Graphing Calculator CA gt Menu Key Labels Menu Keys SETUP SYMB PLOT NUM 2 ursor Aplet Control 41 MODES NOTE SKETCH 9 gt K Keys HOME APLET VIEWS v em CHARS CMDS EEX CLEAR VARS MATH d dx X0 DEL AsN A acos B D SIN COS TAN In log y Ey Fas Gae Hy x x E MEMORY J usr K N 7 8 9 x alpha marx P Q RA 5 Alpha Key 1 waj 4 15 16 L PROGRM syntax U Vx W Shift Key SHIFT 1 2 OFF NOTEPAD Y ON 0 jl Enter CANCEL 0 Key Getting started 1 3 the calculator keyboard the top row of keys are called menu keys Their meanings depend on the context that s why their tops are blank menu keys are sometimes called soft keys bottom
46. on page 13 22 for an example aplet Finding derivatives The HP 39gs can perform symbolic differentiation on some functions There are two ways of using the HP 39gs to find derivatives e You can perform differentiations in HOME by using the formal variables S1 to S5 You can perform differentiations of functions of X in the Function aplet To find derivatives To find the derivative of the function in HOME use a in HOME formal variable in place of X If you use X the differentiation function substitutes the value that X holds and returns a numeric result For example consider the function dx sin x 2cos x 1 Enter the differentiation function onto the command line substituting S1 in place of x d dx ALPHA 51 SEL SIN ALPHA 51 D 81204 ACGINCSTES SCDSCSTY 4 To Using mathematical functions 13 21 find derivatives in the Function aplet s Symbolic view 13 22 ALPHA 51 DJ DJ 2 Evaluate the function 3 Show the result SIR RD FUH TIOM aS1lCSINGS12 34 24C05 S1 COSCSL eae 2451 0 2 51 STOR cosl si hos142 SINCS1 To find the derivative of the function in the Function aplet s Symbolic view you define two functions and define the second function as a derivative of the first function For example to differentiate sin x 2cosx 1 Access the Function aplet s Symbolic view and def
47. substituting X for S1 it can be seen that 3 X 3X Sdx 5x 3 ax 13 23 This result is derived from substituting X S and X 0 into the original expression found in step 1 However substituting X 0 will not always evaluate to zero and may result in an unwanted constant 4 5 2 see this consider 6 2 dx e The extra constant of 6 4 TT FUNCTION results from the PCG Si 08 234 42 substitution of x 0 into 2 2 5 and should be S1 25 54 546 4 disregarded if an indefinite integral is required Program constants and physical constants When you press three menus of functions and constants become available the math functions menu which appears by default the program constants menu and e physical constants menu The math functions menu is described extensively earlier in this chapter Program constants 13 24 The program constants are numbers that have been assigned to various calculator settings to enable you to test for or specify such a setting in a program For example the various display formats are assigned the following numbers 1 Standard 2 Fixed 3 Scientific 4 Engineering 5 Fraction 6 Mixed fraction In a program you could store the constant number of a particular format into a variable and then subsequently test for that particular format
48. 150 088 00 EEICMDENE MADEE Ah End ENTER PAYMENT AMOUNT OF SOLVE 1 e Highlighting the PMT field press soft menu key to obtain a payment of 948 10 i e PMT 948 10 determine the balloon payment or future value FV for the mortgage after 10 years use N 120 highlight the FV field and press the soft menu key The resulting value is FV 127 164 19 The negative value indicates a payment from the homeowner Check that the required balloon payments at the end of 20 years N 240 and 25 years N 300 are 83 497 92 and 48 456 24 respectively Using the Finance Solver Calculating Amortizations Amortization calculations which also use the TVM variables determine the amounts applied towards principal and interest in a payment or series of payments To calculate amortizations 1 Start the Finance Solver as indicated at the beginning of this section 2 Set the following TVM variables a Number of payments per year P YR b Payment at beginning or end of periods 3 Store values for the TVM variables I YR PV PMT and FV which define the payment schedule 4 Press the soft menu key and enter the number of payments to amortize in this batch 5 Press the soft menu key to amortize a batch of payments The calculator will provide for you the amount applied to interest to principal and the re
49. 2 20 Example Poking wedi cu asa ca d 2 20 Function aplet About the 52 3 1 Getting started with the Function 3 1 Function aplet interactive 5 0 3 9 Plotting a piecewise defined function 1 2 02 3 12 Parametric aplet About the Parametric aplet 27 4 4 1 Getting started with the Parametric aplet 4 1 Polar aplet Getting started with the Polar 5 1 Sequence aplet About the Sequence 6 1 Getting started with the Sequence aplet 6 1 Solve aplet About the SOIVEdp lel isin escis letus e 7 1 Getting started with the Solve 7 2 Ese anibidl GUGSS 7 5 Interpreting 7 6 Plotting to find GUESSES a 7 7 Using variables in 2 7 10 Linear Solver aplet About the Linear Solver 8 1 Getting started with the Linear Solver aplet 8 1 Triangle Solve aplet About the Triangle Solver aplet
50. CEILING value 13 13 DEG RAD FLOOR 5 gt HMS 13 14 Examples CEILING 3 2 returns 4 CEILING 3 2 returns 3 Degrees to radians Converts value from Degrees angle format to Radians angle format DEG gt RAD value Example DEG RAD 180 returns 3 14159265359 the value of Greatest integer less than or equal to value FLOOR value Example FLOOR 3 2 returns 4 Function rootfinder like the Solve aplet Finds the value for the given variable at which expression most nearly evaluates to zero Uses guess as initial estimate FNROOT expression variable guess Example FNROOT M 9 8 600 1 M 1 returns 61 2244897959 Fractional part FRAC value Example FRAC 23 2 returns 2 Hours minutes seconds to decimal Converts a number or expression in H MMSSs format time or angle that can include fractions of a second to x x format number of hours or degrees with a decimal fraction HMS gt H MMSSs Example 5 8 30 returns 8 5 Decimal to hours minutes seconds Converts a number or expression in x x format number of hours or degrees Using mathematical functions MIN MOD Using mathematical functions with a decimal fraction to H MMSSs format time or angle up to fractions of a second HMS x x Example 8 5 returns 8 3 Integer part INT value Example INT 23 2
51. Clears the specified variable The syntax is CLRVAR variable Example f yOU have sto red FUNCTION ee EE 1 2 3 4 in variable 11 entering CLVAR 11 will clear L1 1 2 3 45 Empty List Displays textitem in a row of the display at the line_number A text item consists of any number of expressions and quoted strings of text The expressions are evaluated and turned into strings Lines are numbered from the top of the screen 1 being the top and 7 being the bottom DISP line number textitem Example DISP 3 is 2 2 Result A is 4 A 15 4 displayed on line 3 EDIT HEH RECY RUH Displays objectat position y_pos in size font syntax is DISPXY x_pos y_pos font object The value of object can be a text string a variable or a combination of both x pos and y pos are relative to the current settings of Xmin Xmax Ymin and Ymax which you set in the PLOT SETUP view The value of font is either 1 small or 2 large 18 27 DISPTIME EDITMAT FREEZE 18 28 Example DISPXY 2 RELLO HELLO WORLD WORLD Displays the current date and time DISPTIME To set the date and time simply store the correct settings in the date and time variables Use the following formats M DDYYYY for the date and H MMSS for the time Examples 5 152000 DATE sets the date to May 15 2000 10 1500 TIME sets the time to 10 15
52. Costa Rica 0 800 01 1 0524 N America Country Telephone numbers 1800 HP INVENT 905 206 4663 or 800 HP INVENT Rest of the country Please logon to http www hp com for the latest service and support information h Regulatory information Federal Communications Commission Notice Modifications Cables Declaration of Conformity for Products Marked with FCC Logo United States Only This equipment has been tested and found to comply with the limits for a Class B digital device pursuant to Part 15 of the FCC Rules These limits are designed to provide reasonable protection against harmful interference in a residential installation This equipment generates uses and can radiate radio frequency energy and if not installed and used in accordance with the instructions may cause harmful interference to radio communications However there is no guarantee that interference will not occur in a particular installation If this equipment does cause harmful interference to radio or television reception which can be determined by turning the equipment off and on the user is encouraged to try to correct the interference by one or more of the following measures Reorient or relocate the receiving antenna Increase the separation between the equipment and the receiver Connect the equipment into an outlet on a circuit different from that to which the receiver is connected Consult the dealer or an
53. For example y 2x 3 Once you have defined a function you can create graphs to find roots intercepts slope signed area and extrema create tables to evaluate functions at particular values This chapter demonstrates the basic tools of the Function aplet by stepping you through an example See Aplet views on page 2 1 for further information about the functionality of the Symbolic Numeric and Plot views Getting started with the Function aplet The following example involves two functions a linear function y 1 anda quadratic equation 3 2 the 1 Open the Function aplet Function aplet S MEDLIC VIEH FSC aa 4 The Function aplet starts 5 7 in the Symbolic view TR The Symbolic view is the defining view for Function Parametric Polar and Sequence aplets The other views are derived from the symbolic expression Function aplet 3 1 Define the expressions Set up the plot Plot the functions 3 2 2 There are 10 function definition fields on the Function aplet s Symbolic view screen They are labeled F1 X to FO X Highlight the function definition field you want to use and enter an expression You can press DEL to delete an existing line or sHiFT CLEAR to clear all lines 1 FUNCTION SYMEOLIC VIEH SOM SC 0 13 DJ
54. Press to return to HOME See Setting fraction precision below for more information The fraction precision setting determines the precision in which the HP 39gs converts a decimal value to a fraction The greater the precision value that is set the closer the fraction is to the decimal value By choosing a precision of 1 you are saying that the fraction only has to match 0 234 to at least 1 decimal place 3 13 is 0 23076 The fractions used are found using the technique of continued fractions When converting recurring decimals this can be important For example at precision 6 the decimal 0 6666 becomes 3333 5000 6666 10000 whereas at precision 3 0 6666 becomes 2 3 which is probably what you would want For example when converting 234 to a fraction the precision value has the following effect Getting started Fraction calculations Getting started Precision set to 1 FUNCTION 234 3713 TOF e Precision set to 2 S FUNCTION cod 3713 cod re sh bE e Precision set to 3 ZHN ETOR nu cod re se cad 11 47 BI e Precision set to 4 PARAL FUNCTION P cod 11 47 234 117 588 isTOE When entering fractions You use the key to separate the numerator and the denominator part of the fraction To enter a mixed fraction fo
55. Stores a factorial calculating function named U1 When you enter U1 5 for example the function calculates 5 120 Using mathematical functions Matrix functions Summation Finds the sum of expression with respect to variable from initialvalue to finalvalue variable initialvalue finalvalue expression Example X C 21 5 C returns 55 These functions are for matrix data stored in matrix variables See Matrix functions and commands on page 15 10 Polynomial functions POLYCOEF POLYEVAL POLYFORM Using mathematical functions Polynomials are products of constants coefficients and variables raised to powers ferms Polynomial coefficients Returns the coefficients of the polynomial with the specified roots POLYCOEF roots Example To find the polynomial with roots 2 3 4 5 POLYCOEF 2 3 4 5 returns 1 2 25 26 120 representing x 2 1 25x 26x 120 Polynomial evaluation Evaluates a polynomial with the specified coefficients for the value of x POLYEVAL coefficients value Example For 4 2 3 25 2 26 120 POLYEVAL 1 2 25 206 120 8 returns 3432 Polynomial form Creates a polynomial in variable from expression POLYFORM expression variable 1 Example POLYFORM X 1 2 1 returns X 2 2 X 2 13 11 POLYROOT HINT Polynomial roots Returns the roots for the nth order polynomial with the specified n 1 coefficients POLYROOT c
56. The Numeric view NUM is used to enter data into the Statistics aplet Each column represents a variable named CO to C9 After entering the data you must define the data set in the Symbolic view data column must have at least four data points to provide valid two variable statistics or two data points for one variable statistics You can also store statistical data values by copying lists from HOME into Statistics data columns For example in HOME L1 C1 stores a copy of the list L1 into the data column variable C1 Statistics aplet s NUM view keys 10 6 The Statistics aplet s Numeric view keys are Copies the highlighted item into the edit line Inserts a zero value above the highlighted cell Sorts the specitied independent data column in ascending or descending order and rearranges a specitied dependent or frequency data column accordingly Switches between larger and smaller font sizes A toggle switch to select one variable or two variable statistics This setting affects the statistical calculations and plots The label indicates which setting is current Computes descriptive statistics for each data set specified in Symbolic view Statistics aplet Meaning Continued Deletes the currently highlighted value CLEAR Clears the current column or all columns of data Pregss SHIFT CLEAR to display a menu list then select the current column or all columns o
57. Tm SYMEDLIC VIEH ike ihe F Pinchot m RSCA 48 x the Polar aplet opens ROCA gt in Symbolic view ET Define the 2 Define the polar equation r 2 0 2 0 expression J 2 0 cos KTH 01 POLAR SYMBOLIC VIEH vVRiCB 2xm COStC Bez Roth a DE EYAL Specify plot 3 Specify the plot settings In this example we will use settings the default settings except for the ORNG fields SETUP PLOT POLAR PLOT SETUP CLEAR E 12 56563 gt 4 SHIT 2100 52 EMTER EDIT PAGE Plot the 4 Plot the expression expression B Elr amp 6 283185 190 Polar aplet 5 1 the 5 Display the Plot view menu key labels graph mum The Plot view options available are the same as those found in the Function aplet See Exploring the graph on page 2 7 for further information Display the 6 Display the table of values for 0 and R1 numbers NUM The Numeric view options available are the same as those found in the Function aplet See Exploring the table of numbers on page 2 17 for further information 5 2 Polar aplet Sequence aplet About the Sequence aplet The Sequence aplet allows you to explore sequences You can define a sequence named for example U1 in terms of n terms of Ul n 1 in terms of U1 n 2 terms of anothe
58. XPON Stat Two PREDX PREDY Symbolic QUAD ISOLATE QUOTE LINEAR Category Available name Continued Tests 2 AND NOT XOR x gt gt Trig ACOT COT ACSC CSC ASEC SEC Program constants The program constants are Category Available name Angle Degrees Grads Radians Format Standard Sci Fixed Eng Fraction SeqPlot Cobweb Stairstep S1 5fit Linear QuadFit LogFit ExpFit Logist Power User Trigonometric Exponent StatMode StatlVar Stat2Var StatPlot Hist BoxW Physical Constants The physical constants are R 16 Category Available Name Chemist Phyics Quantum Avogadro Avogadro s Number NA Boltz Boltmann k mol vo molar volume Vm univ gas universal gas R sae temp standard temperature std pres standard pressure St dP StefBolt Stefan Boltzmann o light s speed of light c permitti permittivity 20 permeab permeability uO acce gr acceleration of gravity g gravita gravitation C Plank s Plank s constant h Dirac s Dirac s hbar e charge electronic charge e mass electron mass me q me ra g me ratio qme proton m proton mass mp mp me r mp me ratio mpme fine str fine structure a mag flux magnetic flux 4 Faraday Faraday F Rydberg Rydberg Roo Bohr rad Bohr radius aO Bohr mag Bohr magneton uB nuc mag nuclear magneton uN
59. all fits except the one that you want to work with or use the Plot View method Statistics aplet 10 21 11 Inference aplet About the Inference aplet Example data The Inference capabilities include calculation of confidence intervals and hypothesis tests based on the Normal Z distribution or Student s t distribution Based on the statistics from one or two samples you can test hypotheses and find confidence intervals for the following quantities mean e proportion e difference between two means e difference between two proportions When you first access an input form for an Inference test by default the input form contains example data This example data is designed to return meaningful results that relate to the test It is useful for gaining an understanding of what the test does and for demonstrating the test The calculator s on line help provides a description of what the example data represents Getting started with the Inference aplet Open the Inference aplet Inference aplet This example describes the Inference aplet s options and functionality by stepping you through an example using the example data for the Z Test on 1 mean 1 Open the Inference aplet SEE IMF STAT SYMEOLIC PEIEE Eog PIETE Z Test 1 p LLLILILIEJ ALT HYPOTH 4 u a Chg an inFerentigkh Hethod The Inference ERE opens in the Symbolic view
60. cell will scroll up one row To delete a column of data highlight an entry in that column and press SHIFT CLEAR Select the column name To delete all columns of data press CLEAR Select All columns Highlight the entry following the point of insertion Press LA then enter a number It will write over the zero that was inserted In Numeric view highlight the column you want to sort and press Specify the Sort Order You can choose either Ascending or Descending Specify the INDEPENDENT and DEPENDENT data columns Sorting is by the independent column For instance if Age is C1 and Income is C2 and you want to sort by Income then you make c2 the independent column for the sorting and c1 the dependent column sort just one column choose None for the dependent column For one variable statistics with two data columns specify the frequency column as the dependent column Press 10 11 Defining a regression model The Symbolic view includes an expression Fit through Fit5 that defines the regression model or fit to use for the regression analysis of each two variable data set There are three ways to select a regression model Accept the default option to fit the data to a straight line Select one of the available fit options in Symbolic Setup view Enter your own mathematical expression in Symbolic view This expression will be plotted but it will not be fitted to the d
61. could not find a solution you will see one of the following two messages Message Condition Bad Guess es The initial guess lies outside the domain of the equation Therefore the solution was not a real number or it caused an error Constant The value of the equation is the same at every point sampled It is important to check the information relating to the solve process For example the solution that the Solve aplet finds is not a solution but the closest that the function gets to zero Only by checking the information will you know that this is the case You can watch the process of the root tinder calculating and searching for a root Immediately after pressing to start the rootfinder press any key except You will see two intermediate guesses and to the lett the sign of the expression evaluated at each guess For example 2 2 219330555745 1 21 31111111149 You watch as rootfinder either finds a sign reversal or converges on a local extrema or does not converge at all If there is no convergence in process you might want to cancel the operation press ON and start over with a different initial guess Plotting to find guesses Solve aplet The main reason for plotting in the Solve aplet is to help you find initial guesses and solutions for those equations that have difficult to find or multiple solutions Consider the equation of motion for an acceler
62. different results for the RANDOM function use the RANDSEED function to seed different starting values before using RANDOM to produce the numbers RANDOM The setting of Time will be different for each calculator so using RANDSEED Time is guaranteed to produce a set of numbers which are as close to random as possible You can set the seed using the command RANDSEED Upper Tail Chi Squared Probability given degrees of freedom evaluated at value Returns the probability that a x random variable is greater than value UTPC degrees value Upper Tail Snedecor s F Probability given numerator degrees of freedom and denominator degrees of freedom of the F distribution evaluated at value Returns the probability that a Snedecor s F random variable is greater than value UTPF numerator denominator value Upper Tail Normal Probability given mean and variance evaluated at value Returns the probability that a normal random variable is greater than value for a normal distribution Note The variance is the square of the standard deviation UTPN mean variance value Upper Tail Student s t Probability given degrees of freedom evaluated at value Returns the probability that the Student s t random variable is greater than value UTPT degrees value Real number functions CEILING Using mathematical functions Some real number functions can also take complex arguments Smallest integer greater than or equal to value
63. displaying 15 5 displaying matrix elements 15 5 dividing by a square matrix 15 8 dot product 15 11 editing 15 4 extracting a portion 18 25 finding the trace of a square ma trix 15 13 inverting 15 8 matrix calculations 15 1 multiplying and dividing by scalar 15 7 multiplying by vector 15 7 multiplying row by value and add ing result to second row 18 25 multiplying row number by value 18 25 negating elements 15 8 opening Matrix Editor 18 28 raised to a power 15 7 redimension 18 25 replacing portion of matrix or vec tor 18 25 sending or receiving 15 4 singular value decomposition 15 13 singular values 15 13 size 15 12 spectral norm 15 13 spectral radius 15 13 start Matrix Editor 18 24 storing elements 15 3 15 5 storing matrix elements 15 6 swap column 18 25 swap row 18 25 transposing 15 13 15 14 variables 15 1 matrix functions 15 10 COLNORM 15 10 COND 15 11 CROSS 15 11 DET 15 11 DOT 15 11 EIGENVAL 15 11 EIGENVV 15 11 IDENMAT 15 11 INVERSE 15 11 LQ 15 11 LSQ 15 11 LU 15 12 MAKEMAT 15 12 QR 15 12 RANK 15 12 ROWNORM 15 12 RREF 15 12 SCHUR 15 12 SIZE 15 12 SPECNORM 15 13 SPECRAD 15 13 SVD 15 13 SVL 15 13 TRACE 15 13 TRN 15 13 maximum real number 1 22 13 8 memory R 18 clearing all R 3 organizing 14 9 out of R 19 saving 1 25 19 1 viewing 14 1 menu lists searching 1 8 minimum real number 13 8 mixed fraction format 1 11 modes angle measure 1 10 decimal mark 1 11 number format 1 10 multiple solution
64. in history 18 26 variables 18 26 probability functions 113 12 13 12 RANDOM 13 13 13 13 UTPF 13 13 UTPN 13 13 13 13 commands 18 4 18 8 creating 18 4 debugging 18 7 deleting 18 9 delimiters 18 1 editing 18 5 naming 18 4 pausing 18 30 printing 18 26 sending and receiving 18 8 structured 18 1 prompt commands beep 18 26 create choose box 18 26 create input form 18 29 display item 18 27 display message box 18 29 halt program execution 18 30 insert line breaks 18 29 prevent screen display being up dated 18 28 set date and time 18 28 store keycode 18 29 Q quadratic extremum 3 6 tit 10 13 function 3 4 quotes in program names 18 4 R random numbers 13 13 real number maximum 13 8 minimum 13 8 real part 13 7 real number functions 13 13 13 15 CHANGE 13 15 TOTAL 13 16 CEILING 13 13 DEGtoRAD 13 14 FNROOT 13 14 HMSto 13 14 INT 13 15 MANT 13 15 MAX 13 15 MIN 13 15 MOD 13 15 RADtoDEG 13 16 ROUND 13 16 SIGN 13 16 TRUNCATE 13 16 XPON 13 17 recalculation for table 2 18 receive error R 19 receiving aplet 19 5 lists 16 6 matrices 15 4 programs 18 8 redrawing table of numbers 2 17 reduced row echelon 15 12 regression analysis 10 17 fit models 10 13 formula 10 12 user defined fit 10 13 relative error statistical 10 18 resetting aplet 19 3 calculator R 3 memory R 3 result copying to edit line 1 22 reusing 1 22 root interactive 3 10 nt
65. labels along the bottom of the display show the current meanings Text that you write in the Notepad or in the Note view for a specific aplet A reusable set of instructions that you record using the Program editor A drawing that you make in the Sketch view for a specific aplet The name of a number list matrix note or graphic that is stored in memory Use to store and use to retrieve A one dimensional array of values separated by commas periods if the Decimal Mark mode is set to Comma and enclosed in single brackets Created and manipulated by the Matrix catalog and editor 5 The possible contexts for aplet Plot Plot Setup Numeric Numeric Setup Symbolic Symbolic Setup Sketch Note and special views like split screens Resetting the HP 39gs If the calculator locks up and seems to be stuck you must reset it This is much like resetting a PC It cancels certain operations restores certain conditions and clears temporary memory locations However it does nof clear stored data variables aplet databases programs unless you use the procedure To erase all memory and reset defaults To reset using Press and hold the ON key and the third menu key the keyboard simultaneously then release them If the calculator does not respond to the above key sequence then 1 Turn the calculator over and locate the small hole in the back of the calculator 2 Insert the end of a st
66. method of receiving infrared or cable For more information on sending and receiving files see Sending and receiving aplets on page 19 4 Working with matrices To edit a matrix In the Matrix catalog highlight the name of the matrix you want to edit and press Hai Matrix edit keys The following table lists the matrix edit key operations Key Meaning EDIT Copies the highlighted element to the edit line Inserts a row of zeros above column of zeros to the left of the highlighted cell You are prompted to choose row or column three way toggle for cursor advancement in the Matrix editor GE advances to the right EES advances downward and does not advance at alll Switches between larger and smaller font sizes 15 4 Matrices To display matrix To display one element To create a matrix in HOME Key Meaning Continued DEL Deletes the highlighted cells row or column you are prompted to make a choice CLEAR Clears all elements from the matrix Moves to first row last row first v gt X3 column or last column respectively n the Matrix catalog suirr MATRIX highlight the matrix name and press 10 n HOME enter the name of the matrix variable and press ENTER In HOME enter matrixname row column For example ifM2 is 3 41 5 6 then M2 1 2 returns 4 1 Enter the matrix in th
67. on page 2 1 for further information Press to display the aplet s Plot view In this view the functions that you have defined are displayed graphically See About the Plot view on page 2 5 for further information nu Flink 7 HEHU Getting started Numeric view Plot Table view Plot Detail view Overlay Plot view Getting started Press NUM to display the aplet s Numeric view In this view the functions that you have defined are displayed in tabular format See About the numeric view on page 2 16 for further information The VIEWS menu contains the Plot Table view VIEWS Select Plot Table 8 Splits the screen into the plot and the data table See Other views for scaling and splitting the graph on page 2 13 for futher information 5 A ee 4 625 H Bh g5H 609975 11 o2r6 The VIEWS menu contains the Plot Detail view VIEWS Select Plot Detail H3 Splits the screen into the plot and a close up FCM T3 lt _ See Other views for scaling and splitting the graph on page 2 13 for further information The VIEWS menu contains the Overlay Plot view VIEWS Select Overlay Plot BIB Plots the current expression s without erasing any pre existing plot s See Other views for scaling and splitting the graph on page 2 13 for further information 1 17 Note view This
68. places Example TRUNCATE 2 3678 2 returns 2 36 Using mathematical functions Exponent of value XPON value Example XPON 123 4 returns 2 Two variable statistics These are functions for use with two variable statistics See Two variable on page 10 15 Symbolic functions The symbolic functions are used for symbolic manipulations of expressions The variables can be formal or numeric but the result is usually in symbolic form not a number You will find the symbols for the symbolic functions and where in the CHARS menu SHIFT CHARS as well as the MATH menu equals Sets an equality for an equation This is not a logical operator and does not store values See Test functions on page 13 18 expression expression2 ISOLATE Isolates the first occurrence of variable in 0 and returns a new expression where variable newexpression The result is a general solution that represents multiple solutions by including the formal variables 51 to represent any sign and n1 to represent any integer ISOLATE expression variable Examples ISOLATE 2 X 8 X returns 4 ISOLATE A B X C X returns LINEAR Tests whether expression is linear for the specified variable Returns 0 false or 1 true LINEAR expression variable Example LINEAR 2 1 1 returns 0 Using mathematical functions 13 17 QUAD QUOTE where Test functi
69. program using the hp 3995 In this chapter you ll learn about using the Program catalog to create and edit programs programming commands storing and retrieving variables in programs programming variables More information on programming including examples and special tools can be found at HP s calculators web site http www hp com calculators An HP 3905 program contains a sequence of numbers mathematical expressions and commands that execute automatically to perform a task These items are separated by a colon Commands that take multiple arguments have those arguments separated by a semicolon For example PIXON xposition yposition Inside a program you can use branching structures to control the execution flow You can take advantage of structured programming by creating building block programs Each building block program stands alone and it can be called from other programs Note Ifa program has a space in its name then you have to put quotes around it when you want to run it 18 1 Example RUN GETVALUE RUN CALCULATE RUN SHOW ANSWER This program is separated into three main tasks each an individual program Within each program the task can be simple or it can be divided further into other programs that perform smaller tasks Program catalog Open Program Catalog 18 2 The Program catalog is where you create edit delete send receive or run programs This section
70. recall 14 3 storing 14 2 variables aplet 14 1 categories 14 7 clearing 14 3 definition 14 1 14 7 R 2 in equations 7 10 in Symbolic view 2 3 independent 18 36 local 14 1 previous result Ans 1 23 printing 18 26 root 18 34 roottinding 3 10 step size of independent 18 37 types 14 1 14 7 use in calculations 14 3 VARS menu 14 4 14 5 vectors column 15 1 cross product 15 11 definition of R 2 views 1 18 configuration 1 18 definition of R 3 W warning symbol 1 8 where command 13 18 X Xcross variable 18 37 xrng 2 6 Y Ycross variable 18 37 yrng 2 6 Z Z Interval 11 15 zoom 2 17 axes 2 12 box 2 9 center 2 9 examples of 2 11 factors 2 13 2 9 options 2 9 3 8 options within a table 2 17 out 2 9 redrawing table of numbers tions 2 17 square 2 10 un zoom 2 11 within Numeric view 2 17 X zoom 2 9 Y zoom 2 10 I 13
71. s display history A value in ANS is stored internally with the full precision of the calculated result whereas the displayed numbers match the display mode 1 23 HINT Storing a value in a variable When you retrieve a number from ans you obtain the result to its full precision When you retrieve a number from the HOME s display history you obtain exactly what was displayed Pressing evaluates or re evaluates the last input whereas pressing ANS copies the last result as Ans into the edit line You can save an answer in a variable and use the variable in later calculations There are 27 variables available for storing real values These are A to Z and 0 See Chapter 14 Variables and memory management for more information on variables For example 1 Perform a calculation 45 8 2 FUNCTION 45 8 8 gor 2 Store the result the A variable ALPHA PE FUNCTION ENTER 597 HnzkH zT 3 Perform another calculation using the A variable 95 2 x ALPHA A FUNCTION 95 2 A STOR Getting started Accessing the Pressing enables the highlight bar in the display display history history While the highlight bar is active the following menu and keyboard keys are very useful Scrolls through the display history Copies the highlighted expression to the position of th
72. table format From Num Setup choose Automatic or Build Your Own or In a program type 0 gt NumType for Build Your Own 1 NumType for Automatic default Sets the zoom factor in the Numeric view From Num Setup type in a value for NUMZOOM In program type nb NumZoom where n 0 Enables you to choose between 1 variable and 2 variable statistics in the Statistics aplet Does not appear in the Plot Setup input form Corresponds to the 11 and menu keys in Numeric View In a program store the constant name or its number into the variable StatMode 1VAR 1 2VAR 2 Example IVAR b StatMode or 1 gt StatMode 18 43 Note variables The following aplet variable is available in Note view NoteText Use NoteText to recall text previously entered in Note All Aplets view Sketch variables The following aplet variables are available in Sketch view Page Sets a page in a sketch set The graphics be viewed All Aplets one at a time using the and 1153 keys The Page variable refers to the currently displayed page of a sketch set In a program type graphicname Page PageNum Sets a number for referring to a particular page of the All Aplets sketch set in Sketch view In a program type the page that is shown when SHIFT SKETCH is pressed n gt PageNum 19 Extending aplets Aplets are the application environments where you explore different classes of mathem
73. the edge of the display window in trace mode giving you a view of more of the plot If there is more than one relation displayed press or to move between relations Aplets and their views jump directly to a value To turn trace on off Zoom within a graph ZOOM options Aplets and their views To jump straight to a value rather than using the Trace function use the menu key Press then enter a value Press to jump to the value If the menu labels not displayed press MA first off trace mode by pressing HAIG Turn on trace mode by pressing HATA turn the coordinate display off press One of the menu key options is Zooming redraws the plot on a larger or smaller scale It is a shortcut for changing the Plot Setup The Set Factors option enables you to set the factors by which you zoom in or zoom out and whether the zoom is centered about the cursor Press select an option and press MA If is not displayed press Not all options are available in all aplets Option Meaning Center Re centers the plot around the current position of the cursor without changing the scale Box Lets you draw a box to zoom in on See Other views for scaling and splitting the graph on page 2 13 In Divides horizontal and vertical scales by the X factor and Y factor For instance if zoom factors are 4 t
74. to move to a different row or column You can change the direction of the highlight bar by pressing The E menu key toggles between the following three options specifies that the cursor moves to the cell below the current cell when you press ENTER A specifies that the cursor moves to the cell to the right of the current cell when you press ENTER 9 specifies that the cursor stays in the current cell when you press ENTER 6 When done press SHIFT MATRIX to see the Matrix catalog or press to return to HOME The matrix entries are automatically stored MATRIS CATALOG 151 REAL MATRIS KE 2 REAL MATRIS M3 191 REAL MATRIS 4 181 REAL MATRIS 151 REAL MATRIS WKE EDIT IMS 0 ea Matrices 15 3 matrix is listed with two dimensions even if itis 3x1 A vector is listed with the number of elements such as 3 To transmit a You can send matrices between calculators just as you matrix can send aplets programs lists and notes 1 Align the HP 39gs calculators infrared ports or connect the calculators using an appropriate cable 2 Open the Matrix catalogs on both calculators 3 Highlight the matrix to send 4 Press BAA and choose the method of sending infrared or cable 5 Press H on the receiving calculator and choose the
75. variables on page 13 23 for more information on finding indefinite integrals 13 6 Using mathematical functions TAYLOR Calculates the nth order Taylor polynomial of expression at the point where the given variable 0 TAYLOR expression variable n Example TAYLOR 1 sin s1 s1 5 with Radians angle measure and Fraction number format set in MODES returns 1 51 2 1 3 51 4 Complex number functions ARG CONJ RE These functions are for complex numbers only You can also use complex numbers with all trigonometric and hyperbolic functions and with some real number and keyboard functions Enter complex numbers in the form where x is the real part and y is the imaginary part Argument Finds the angle defined by a complex number Inputs and outputs use the current angle format set in Modes ARG x Example ARG 3 3 returns 45 Degrees mode Complex conjugate Conjugation is the negation sign reversal of the imaginary part of a complex number CONJ x y Example CONJ 3 4 returns 3 4 Imaginary part y of a complex number x y IM x Example 3 4 returns 4 Real part x of a complex number x y RE x y Example RE 3 4 returns 3 13 7 Using mathematical functions Constants MAXREAL MINREAL Conversions F gt 13 8 The constants available from the MATH FUNCTIONS menu are mathematical constants These are de
76. with matrices 15 10 attaching a note to an aplet 17 1 a sketch to an aplet 17 3 auto scale 2 14 axes plotting 2 7 variable 18 32 bad argument R 18 bad guesses error message 7 7 batteries R 4 box and whisker plot 10 16 branch commands CASE END 18 18 IF THEN ELSE END 18 18 IFERR THEN ELSE 18 18 branch structures 18 17 build your own table 2 19 calculus operations 13 7 catalogs 1 30 chronological sorting 19 6 circle drawing 17 4 clearing aplet 19 3 characters 1 22 display 1 22 display history 1 25 edit line 1 22 lists 16 6 plot 2 7 cobweb graph 6 1 coefficients polynomial 13 11 columns changing position 18 25 combinations 13 12 commands aplet 18 14 branch 18 17 definition of R 1 drawing 18 19 graphic 18 21 loop 18 23 print 18 26 program 18 4 R 17 stat one 18 30 stat two 18 30 with matrices 15 10 complex number functions 13 5 13 16 conjugate 13 7 imaginary part 13 7 real part 13 7 complex numbers 1 29 entering 1 29 math functions 13 7 storing 1 29 confidence intervals 11 15 conjugate 13 7 connecting data points 10 19 variable 18 32 via infrared 19 5 via serial cable 19 5 via USB cable 19 5 connectivity kit 19 4 constant error message 7 7 constants 13 8 i 13 8 maximum real number 13 8 minimum real number 13 8 physical 1 8 13 25 R 16 program R 15 R 16 contrast decreasing display 1 2 increasing display 1 2 conversions 13 8 coordinate di
77. you to specify a value on the statistics only line of best fit to jump to or a data point number to jump to Displays equation of the regression curve Hides and displays the menu key labels When the labels are hidden any menu key displays the x y coordinates Pressing redisplays the menu labels Calculating predicted values The functions PREDX and PREDY estimate predict values for X or Y given a hypothetical value for the other The estimation is made based on the curve that has been calculated to fit the data according to the specified fit Find predicted 1 In Plot view draw the regression curve for the data values set 2 Press v to move to the regression curve 3 Press and enter the value of X The cursor jumps to the specified point on the curve and the coordinate display shows X and the predicted value of Y In HOME Enter PREDX y value to find the predicted value for the independent variable given a hypothetical dependent value 10 20 Statistics aplet e Enter PREDY x value to find the predicted value of the dependent variable given a hypothetical independent variable You can type PREDX and PREDY into the edit line or you can copy these function names from the MATH menu under the Stat Two category HINT In cases where more than one fit curve is displayed the PREDY function uses the most recently calculated curve In order to avoid errors with this function uncheck
78. 1 MLabels to turn labels on 0 PLabels to turn labels off default Defines the minimum and maximum independent variable values Appears as the NRNG fields in the Plot Setup input form From Plot Setup enter values for NRNG In program type Nmin n Nmax where gt Recenters at the crosshairs locations when zooming From Plot Zoom Set Factors check or uncheck __ Recenter or In a program type 1 gt Recenter to turn recenter on default 0 Recenter to turn recenter off Contains the last value found by the Root function in the PlotFCN menu Programming S1mark S5mark Statistics SeqPlot Sequence Simult Function Parametric Polar Sequence Slope Function StatPlot Statistics Programming Sets the mark to use for scatter plots From Plot Setup for two variable statistics Slmark S5mark then choose a mark or In a program type n gt Slmark where n is 1 2 3 5 Enables you to choose types of sequence plot Stairstep or Cobweb From Plot Setup select SegP1ot then choose Stairstep or Cobweb In program type 1 SeqPlot for Stairstep 2 gt SeqPlot for Cobweb Enables you to choose between simultaneous and sequential graphing of all selected expressions From Plot Setup check or uncheck sr MULT In program type 1 gt Simult for simultaneous graphing default 0 gt Simult for sequential
79. 198 to dismiss the MATH menu without selecting a command Pressing ERA displays the list of Program Constants You can use these in programs that you develop commands Inactive keys Menus To search a menu Pressing displays a menu of physical constants from the fields of chemistry physics and quantum mechanics You can use these constants in calculations See Physical constants on page 13 25 for more information See Math functions by category on page 13 2 for details of the math functions When using the MATH menu or any menu on the hp 39gs pressing an alpha key takes you straight to the first menu option beginning with that alpha character With this method you do not need to press ALPHA first Just press the key that corresponds to the command s beginning alpha character Pressing CMDS displays the list of Program Commands See Programming commands on page 18 13 If you press a key that does not operate in the current context a warning symbol like this appears There is no beep 1 1 211 of items Menus are displayed two columns A menu offers you a choice The Y arrow in the ATH FUNCTION display means more Res am CEILING items below Symbolic FLOOR Tests FIFHROOT A arrow In the display means more items above
80. 3 SHIFT 10 SIN COS TAN SHIFT ASIN SHIFT ACOS Exponential antilogarithm Also accepts complex numbers 10 value Example 10 3 returns 1000 Common logarithm Also accepts complex numbers LOG value Example LOG 100 returns 2 Sine cosine tangent Inputs and outputs depend on the current angle format Degrees Radians or Grads SIN value COS value TAN value Example TAN 45 returns 1 Degrees mode Arc sine x Output range is from 90 to 90 2 to 1 2 100 100 grads Inputs and outputs depend on the current angle format Also accepts complex numbers ASIN value Example ASIN 1 returns 90 Degrees mode Arc cosine Output range is from 0 to 180 O to or O to 200 grads Inputs and outputs depend on the current angle format Also accepts complex numbers Output will be complex for values outside the normal COS domain 1 lt lt 1 ACOS value Example ACOS 1 returns 0 Degrees mode Using mathematical functions SHIFT SHIFT ABS Using mathematical functions Arc tangent tan x Output range is from 90 to 90 27 2 to 1 2 or 100 to 100 grads Inputs and outputs depend on the current angle format Also accepts complex numbers ATAN value Example ATAN 1 returns 45 Degrees mode Square Also accepts complex numbers value Example 182 returns 324 Square root Also accep
81. 3E2 in Scientific 2 format 1 10 Getting started Setting a mode Getting started Setting Options Continued Engineering Displays result with an exponent that is a multiple of 3 and the specified number of significant digits beyond the first one Example 123 456E7 becomes 1 23E9 in Engineering 2 format Fraction Displays results as fractions based on the specified number of decimal places Examples 123 456789 becomes 123 in Fraction 2 format and 333 becomes 1 3 and 0 142857 becomes 1 7 See Using fractions on page 1 25 Mixed Fraction Displays results as mixed fractions based on the specified number of decimal places A mixed fraction has an integer part and a fractional part Examples 123 456789 becomes 123 16 35 in Fraction 2 format and 7 3 returns 24 1 3 See Using fractions page 1 25 Decimal Dot or Comma Displays a number Mark as 12456 98 Dot mode or as 12456 98 Comma mode Dot mode uses commas to separate elements in lists and matrices and to separate function arguments Comma mode uses periods dot as separators in these contexts This example demonstrates how to change the angle measure from the default mode radians to degrees for the current aplet The procedure is the same for changing number format and decimal mark modes 1 Press MODES to open the HOME MODES input form 1 11 The cursor highlight is in the first field Angle Mea
82. A vector is represented with single brackets for example 1 2 3 A vector can be a real number vector or a complex number vector for example 1 2 7 3 Matrices are two dimensional arrays They are composed of more than one row and more than one column Two dimensional matrices are represented with nested brackets for example 1 2 3 4 5 6 You can create complex matrices for example 1 2 3 4 4 5 6 7711 There are ten matrix variables available named MO to 9 You can use them in calculations in HOME or in a program You can retrieve the matrix names from the VARS menu or just type their names from the keyboard 15 1 Creating and storing matrices Matrix Catalog keys You can create edit delete send and receive matrices in the Matrix catalog To open the Matrix catalog press SHIFT MATRIX MATRIS CATALOG REAL HATRIS KE 2 a43 REAL MATRIN M2 181 REAL MATRIH 4 191 REAL MATRIH M5 191 REAL MATRIS _ __15 You can also create and store matrices named unnamed in HOME For example the command POLYROOT 1 0 1 0 M1 stores the root of the complex vector of length 3 into the MI variable M1 now contains the three roots of x x 0 The table below lists the operations of the menu keys in the Matrix Catalog as well as the use of Delete DEL and Clear SHIFT CLEAR Ke
83. Begin mode and End mode The following cash Using the Finance Solver Using the Finance Solver flow diagram shows lease payments at the beginning of each period PV Capitalized value of lease PMT PMT PMT FV The following cash flow diagram shows deposits into an account at the end of each period As these cash flow diagrams imply there are five variables N The total number of compounding periods or paymenis IZYR The nominal annual interest rate or investment rate This rate is divided by the number of payments per year P YR to compute the nominal interest rate per compounding period which is the interest rate actually used in TVM calculations The present value of the initial cash flow a lender or borrower PV is the amount PV of the loan to an investor PV is the initial investment PV always occurs at the beginning of the first period 12 3 periodic payment amount payments are the same amount each period and the TVM calculation assumes that no payments are skipped Payments can occur at the beginning or the end of each compounding period an option you control by setting the Payment mode to Beg or End The future value of the transaction the amount of the final cash flow or the compounded value of the series of previous cash flows For a loan this is the FV size of the final balloon payment beyond any re
84. COSH value Inverse hyperbolic sine sinh 1 ASINH value Inverse hyperbolic tangent tanh7 y ATANH value Hyperbolic cosine cosH value Hyperbolic sine SINH value Hyperbolic tangent TANH value Antilogarithm exponential This is more accurate than 10 x due to limitations of the power function ALOG value 13 9 EXPMI List functions Loop functions ITERATE RECURSE 13 10 Natural exponential This is more accurate than due to limitations of the power function EXP value Exponent minus 1 amp 1 This is more accurate than EXP when x is close to zero EXPM1 value Natural log plus 1 In x This is more accurate than the natural logarithm function when x is close to zero LNP1 value These functions work on list data See List functions on page 16 6 The loop functions display a result after evaluating an expression a given number of times Repeatedly for times evaluates an expression in terms of variable The value for variable is updated each time starting with initialvalue ITERATE expression variable initialvalue times Example ITERATE X X 2 3 returns 256 Provides a method of defining a sequence without using the Symbolic view of the Sequence aplet If used with where RECURSE will step through the evaluation RECURSE sequencename ferm term Example RECURSE U U N 1 N 1 2 01
85. Exchanges row and row2 in the specified matrix SWAPROW name row row2 18 25 Print commands These commands print to an HP infrared printer for example the HP 82240B printer PRDISPLAY Prints the contents of the display PRDISPLAY PRHISTORY Prints all objects in the history PRHISTORY PRVAR Prints name and contents of variablename PRVAR variablename You can also use the PRVAR command to print the contents of a program or a note PRVAR programname PROG PRVAR nolename NOTE Prompt commands BEEP Beeps at the frequency and for the time you specify BEEP frequency seconds CHOOSE Creates a choose box which is a box containing a list of options from which the user chooses one Each option is numbered 1 through n result of the choose command is to store the number of the option chosen in a variable The syntax is CHOOSE variable name title option options Optiong where variable name is the number of the option that will be highlighted by default whenever the choose box is displayed title is the text displayed in the title bar of the choose box and option option are the options listed in the choose box 18 26 Programming CLRVAR DISP DISPXY Programming Example 3 gt A CHOOSE Y n COMIC TRIPS COMIC STRIPS DILBERT DILBERT CRLVIHA amp HOBBEES BLOHDIE CALVIN amp HOBBES BLONDIE uw ne
86. G VALUE FOR THELE TL lt SYMEOLIC SETUP SEXE ANGLE MEASURE ete SIFIT L irigar saFIT L innear S3FIT L iriear innear s5FIT innear CHOOSE AMGLE MEASURE Getting started change views Each view is a separate environment To change a view select a different view by pressing NUM keys or select a view from the VIEWS menu To change to HOME press HOME You do not explicitly close the current view you just enter another one like passing from one room into another in a house Data that you enter is automatically saved as you enter it To save aplet You can save an aplet configuration that you have used configuration and transfer the aplet to other HP 3905 calculators See Creating new aplets based on existing aplets on page 19 1 Mathematical calculations The most commonly used math operations are available from the keyboard Access to the rest of the math functions is via the MATH menu To access programming commands press CMDS See Programming commands on page 18 13 for further information Where to start The home base for the calculator is the HOME view You can do all calculations here and you can access all operations Entering Enter an expression into the HP 3905 in the same left expressions to right order that you would write the expression This is call
87. HP 3905 graphing calculator user s guide invent Edition3 Part Number F2223AA 90001 Notice REGISTER YOUR PRODUCT AT www register hp com THIS MANUAL AND ANY EXAMPLES CONTAINED HEREIN ARE PROVIDED AS IS AND ARE SUBJECT TO CHANGE WITHOUT NOTICE HEWLETT PACKARD COMPANY MAKES NO WAR RANTY OF ANY KIND WITH REGARD TO THIS MANUAL INCLUDING BUT NOT LIMITED TO THE IMPLIED WARRANTIES OF MERCHANTABILITY NON INFRINGEMENT AND FITNESS FOR A PARTICULAR PURPOSE HEWLETT PACKARD CO SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR INCIDENTAL OR CONSEQUENTIAL DAMAGES IN CONNECTION WITH THE FURNISHING PERFORMANCE OR USE OF THIS MANUAL OR THE EXAMPLES CONTAINED HEREIN 1994 1995 1999 2000 2003 2006 Hewlett Packard Development Company L P Reproduction adaptation or translation of this manual is prohibited without prior written permission of Hewlett Packard Company except as allowed under the copyright laws Hewlett Packard Company 16399 West Bernardo Drive MS 8 600 San Diego CA 92127 1899 USA Printing History Edition 2 December 2003 Edition 3 June 2005 Contents Preface Manual conventions 1 AE i E onesie ac D T 2 1 Getting started On off cancel 1 1 1 2 Ke E ET 1 3 ens 1 8
88. IVE lo send to a disk drive via the RS232 serial port Note choose a disk drive option if you are using the hp39gs connectivity kit to transfer the aplet Highlight your selection and press If transmitting to a disk drive you have the options of sending to the current default directory or to another directory 3 Receiving calculator Open the aplet library and press pra receve rrom menu appears with the following options HP39G IRDA to receive via high speed infrared HP39G fo receive via low speed infrared HP39 40 USB to receive via the USB port HP39 40 SER to receive via the RS232 serial port USB DISK DRIVE to receive from a disk drive via the USB port SER DISK DRIVE fo receive from a disk drive via the RS232 serial port 19 5 Note choose disk drive option if you are using the hp39gs connectivity kit to transfer the aplet Highlight your selection and press The Transmit annunciator is displayed until transmission is complete If you are using the PC Connectivity Kit to download aplets from a PC you will see a list of aplets in the PC s current directory Check as many items as you would like to receive Sorting items in the aplet library menu list To sort the aplet list To delete an aplet 19 6 Once you have entered information into an aplet you have defined a new version of an aplet The information is automatically saved u
89. KEMAT QR RANK ROWNORM RREF SCHUR SIZE 15 12 LU Decomposition Factors a square matrix into three matrices tllo wertriangular uppertriangular permutation The uppertriangular has ones on its diagonal LU matrix Make Matrix Creates a matrix of dimension rows x columns using expression to calculate each element If expression contains the variables and J then the calculation for each element substitutes the current row number for and the current column number for J MAKEMAT expression rows columns Example MAKEMAT 0 3 3 returns a 3x3 zero matrix Ly 10707017 1070 01 1 QR Factorization Factors an mxn matrix into three matrices mxm orthogonal mxn uppertrapezoidal nxn permutation OR matrix Rank of a rectangular matrix RANK matrix Row Norm Finds the maximum value over all rows for the sums of the absolute values of all elements in a row ROWNORM matrix Reduced Row Echelon Form Changes a rectangular matrix to its reduced row echelon form RREF matrix Schur Decomposition Factors a square matrix into two matrices If matrix is real then the result is orthogonal upper quasi triangular If matrix is complex then the result is t unitary upper triangular SCHUR matrix Dimensions of matrix Returned as a list rows columns SIZE matrix Matrices SPECNORM SPECRAD SVD SVL TRACE TRN Examples Identit
90. LPHA again For a lower case letter press ALPHA For a string of letters hold down ALPHA while typing 1 6 Getting started HELPWITH Example Math keys Getting started The HP 3905 built in help is available in HOME only It provides syntax help for built in math functions Access the HELPWITH command by pressing SYNTAX and then the math key for which you require syntax help Press SYNTAX HELPMITH 7 pee Note Remove the left parenthesis from built in functions such as sine cosine and tangent before invoking the HELPWITH command HOME HOME is the place to do calculations Keyboard keys The most common operations are available from the keyboard such as the arithmetic like and trigonometric like 51 functions Press to complete the operation V 256 displays 16 MATH menu Press Em MATH to open the MATH EE ACE TE menu The MATH menu is a comprehensive list of math functions that do not appear on the keyboard It also includes categories for all other functions and constants The functions are grouped by category ranging in alphabetical order from Calculus to Trigonometry arrow keys scroll through the list v 41 and move from the category list in the lett column to the item list in the right column Press EEE to insert the selected command onto the edit line e Press 1
91. Mark mode is set to Comma then the separators are periods Lists represent a convenient way to group related objects There are ten list variables available named LO to L9 You can use them in calculations or expressions in HOME or in a program Retrieve the list names from the VARS menu or just type their names from the keyboard You can create edit delete send and receive named lists in the List catalog 5 1157 You can also create and store lists named or unnnamed in HOME lists List variables are identical in behaviour to the columns C1 CO in the Statistics aplet You can store a statistics column to a list or vice versa and use any of the list functions on the statistics columns or the statistics functions on the list variables 1 the List catalog LIST CATALOG 3383 EEE LIST 2 Highlight the list name you want to assign to the new list L1 etc display the List editor EDNA 16 1 3 Enter the values you want in the list pressing after each one Values can be real or complex numbers or an expression If you enter a calculation it is evaluated and the 1 2 4 6x54 z result is inserted in the list 4 When done press SHIFT LIST to see the List catalog or press to return to HOME List catalog keys The list catalog keys are Key Meaning Opens the highlighted list for editing SEHD Transm
92. Move the cursor in any direction to the end point of the line by pressing the 4 v gt keys 5 Press to finish the line 17 3 To draw circle DRAW keys 17 4 In Sketch view press BITE and move the cursor to where you want any corner of the box to be Press Move the cursor to mark the opposite corner for the box You can adjust the size of the box by moving the cursor Press BIB to finish the box In Sketch view press BITE and move the cursor to where you want the center of the circle to be Press MAAA This turns on circle drawing 3 Move the cursor the distance of the radius Press BIB to draw the circle Key Meaning Dot on Turns pixels on as the cursor moves Dot off Turns pixels off as the cursor moves LIME Draws a line from the cursor s starting position to the cursor s current position Press BIB when you have finished You can draw a line at any angle Draws a box from the cursor s starting position to the cursor s current position Press BIB when you have finished Draws a circle with the cursor s starting position as the center The radius is the distance between the cursor s starting and ending position Press to draw the circle Notes and sketches To label parts of a sketch To create a set of sketches To store into a graphics variable Notes and sketches 1 Press and typ
93. NG 3 1 3 2 ENTER MINIMUM HORIZONTAL VALUE EDIT PAGE F T 00 3 HEHU To see all the circle press pam twice Parametric aplet Overlay plot Display the numbers Parametric aplet 8 2 Plot a triangle graph over the existing circle graph SHIFT PLOT PARAMETRIC PLOT SETUP TENG 35H v TSTEP 2 6 5 120 BS YRMG 5 1 3 2 ENTER MINIMUM HORIZONTAL VALUE EDIT PAGE F VIEWS Select Overlay Plot 8 i GE A triangle is displayed rather than a circle without changing the equation because the changed value of TSTEP ensures that points being plotted are 120 apart instead of nearly continuous You are able to explore the graph using trace zoom split screen and scaling functionality available in the Function aplet See Exploring the graph on page 2 7 for further information Display the table of values NUM You can highlight a tvalue type in a EE replacement value and see the table jump to that value You can also zoom in or zoom out on any fvalue in the table build your own table and split screen functionality available in the Function aplet See Exploring the table of numbers on page 2 17 for further information 43 Polar aplet Getting started with the Polar aplet Open the Polar 1 Open the Polar aplet aplet APLET Select Polar
94. Notepad Your work is automatically saved Key Meaning ELIT Opens the selected note for editing Begins a new note and asks for a name Transmits the selected note to another HP 39gs or PC RECI Receives a note being transmitted from another HP 39gs or PC DEL Deletes the selected note CLEAR Deletes all notes in the 17 7 To import a note You can import a note from the Notepad into an aplet s Note view and vice versa Suppose you want to copy a note named Assignments from the Notepad into the Function Note view 1 In the Function aplet display the Note view SHIFT NOTE 2 Press fits highlight Notepad in the left column then highlight the name Assignments in the right column 3 Press DIM copy the contents of Assignments to the Function Note view Note To recall the name instead of the contents press instead of TRIM Suppose you want to copy the Note view from the current aplet into the note Assignments in the Notepad 1 In the Notepad SHIFT NOTEPAD open the note Assignments 2 Press Gamay highlight Note in the left column then press gt and highlight NoteText in the right column 3 Press DI to recall the contents of the Note view into the note Assignments 17 8 Notes and sketches 18 Programming Introduction HINT The Contents of a Program Structured Programming Programming This chapter describes how to
95. NumRow Note NoteText Sketch Page PageNum Statistics aplet variables The statistics aplet variables are Category Available name Plot Axes S4mark Connect Sbmark Coord StatPlot Grid Tracing Hmin Xcross Hmax Ycross Hwidth Xtick Indep Y tok Inveross Xmin Labels Xmax Recenter Ymin Slmark Ymax S2mark Xzoom S3mark Yxoom Symbolic Angle SS FIE SIE X Sd ri S2fit S5fit Numeric C0 s 2 s NumFont Digits NumRow Format StatMode NumCol Stat One MaxX Q3 Mean PSDev Median SSDev Mind PVarX N Q1 Tot Stat Two Corr x Cov gt 2 Fit XXY MeanX Meany RelErr Note NoteText Sketch Page PageNum Math functions MATH menu categories The math functions are Category Available name Calculus 2 J TAYLOR Complex ARG IM CONT RE Constant MAXREAL a MINREAL TU Hyperb ACOSH TANH ASINH ALOG ATANH EXP COSH EXPM1 SINH LNP1 List CONCAT REVERSE ALIST SIZE MAKELIST LIST TELST SORT POS Loop ITERATE RECURSE gt Category Available name Continued Matrix COLNORM OR COND RANK CROSS ROWNORM DET RREF DOT SCHUR EIGENVAL SIZE EIGENVV SPECNORM IDENMAT SPECRAD INVERSE SVD LQ SVL LSQ TRACE LU TRN MAKEMAT Polynom POLYCOEF POLYFORM POLYEVAL POLYROOT Prob COMB UTPC UTPF PERM UTPN RANDOM UTPT Real CEILING MIN DEG RAD MOD FLOOR FNROOT CHANGE FRAC STOTAL 5 gt gt HMS ROUND INT SIGN MANT TRUNCATE MAX
96. OF FIFHROOT e When you press you see the menu list of Math categories in the left column and the corresponding functions of the highlighted category in the right column The menu key indicates that the MATH FUNCTIONS menu list is active To select a function 1 Press MATH to display the MATH menu categories appear in alphabetical order Press Y or to scroll through the categories To skip directly to a category press the first letter of the category s name Note You do not need to press ALPHA first Using mathematical functions 13 1 Function categories 2 The list of functions on the right applies to the currently highlighted category on the left Use gt and 4 to switch between the category list and the function list 3 Highlight the name of the function you want and press WA This copies the function name and an initial parenthesis if appropriate to the edit line e Calculus Complex numbers Constant Convert Hyperbolic trigonometry Hyperb e Lists Loop Symbolic Matrix e Tests Polynomial Trigonometry Probability Trig Real numbers Real Two variable statistics Stat Two Math functions by category Syntax Each function s definition includes its syntax that is the exact order and spelling of a function s name its delimiters punctuation and its arguments Note that the syntax for a function does not require spaces Fu
97. Plot Setup input form enter values for TSTEP or In a program type Tstep where gt 0 Sets the horizontal coordinate of the crosshairs Only works with TRACE off In a program type nb Xcross Sets the vertical coordinate of the crosshairs Only works with TRACE off In a program type nb Ycross Sels the distance between tick marks for the horizontal axis From the Plot Setup input form enter a value for Xtick In program type nb Xtick where gt 0 Sets the distance between tick marks for the vertical axis From the Plot Setup input form enter a value for Ytick or In a program type nb Ytick where n gt 0 Sets the minimum and maximum horizontal values of the plot screen Appears as the XRNG fields horizontal range in the Plot Setup input form From Plot Setup enter values for XRNG or In a program type 18 37 All Aplets Xzoom All Aplets Yzoom All Aplets 18 38 ni xmin n gt Xmax where n n Sets the minimum and maximum vertical values of the plot screen Appears as the YRNG fields vertical range in the Plot Setup input form From Plot Setup enter the values for YRNG or In a program type nib Ymin n Ymax where n gt n Sets the horizontal zoom factor From Plot ZOOM Set Factors enter the value for xzooM or In a program type n gt XZOOM where n gt 0 The default value is 4 Sets the vertical zoo
98. SELECT SETVIEWS 18 14 Checks selects the corresponding function in the current aplet For example Check 3 would check F3 if the current aplet is Function Then a checkmark would appear next to F3 in Symbolic view F3 would be plotted in Plot view and evaluated in Numeric view CHECK ni Selects the named aplet and makes it the current aplet Note Quotes are needed if the name contains spaces or other special characters SELECT apletname The SETVIEWS command is used to define entries in the VIEWS menu for aplets that you customize See Customizing an aplet on page 18 9 for an example of using the SETVIEWS command When you use the SETVIEWS command the aplet s standard VIEWS menu is deleted and the customized menu is used in its place You only need to apply the command to an aplet once The VIEWS menu changes remain unless you apply the command again Typically you develop a program that uses the SETVIEWS command only The command contains a trio of arguments for each menu option to create or program to attach Keep the following points in mind when using this command The SETVIEWS command deletes an aplet s standard Views menu options If you want to use any of the standard options on your reconfigured VIEWS menu you must include them in the configuration e When you invoke the SETVIEWS command the changes to an aplet s VIEWS menu remain with the aplet You need to invoke the command on the aplet ag
99. T POS 16 8 Example In HOME store 3 5 8 12 17 23 in L5 and find the first differences for the list HOME SHIFT FARAD FUNCTIOM 3586121728 Hir 7 7 4 5 62 L 5 ENTER Fr TAL L 9 Select ALIST H3 ALPHA L5 Calculates a sequence of elements for a new list Evaluates expression with variable from begin to end values taken at increment steps MAKELIST expression variable begin end increment The MAKELIST function generates a series by automatically producing a list from the repeated evaluation of an expression Example In HOME generate a series of squares from 23 to 27 MATH L Select Fan MAKELIST Ei MRKELISTcZR28 R 23 27 12 ALPHA A X7 529 576 625 6T5 7291 Qr A 22 27 J 1 QJ FUNCTION Calculates the product of all elements in list IILIST list Example IILIST 2 3 4 returns 24 Returns the position of an element within a list The element can be a value a variable or an expression If there is more than one instance of the element the Lists position of the first occurrence is returned value of O is returned if there is no occurrence of the specitied element POS list element Example POS 3 7 12 19 12 returns 3 REVERSE Creates a list by reversing the order of the elements in a list REVERSE list SIZE Calculates the number of eleme
100. TICS PLOT SETUP HRMG 2 168 B S1MBEK EE SSMIBREK SIMARE 4 SUMARE 11 SSMARK M CHOOSE MARK FOR SCATTER PLOT PAGE Ww 11 0 Laan MEHU 10 Draw the regression curve a curve to fit the data points EMU This draws the regression line for the best linear fit ETT GTS SOTO FIT m ET HEHU 11 Return to the Symbolic view SEDE STATISTICS SYMEOLIC Oi ml Cz vV Fitl 425 875 E 3T65 Fit2 m atrb ENTER EDIT w CHE C f sHUH EVRL 12 Display the equation for the best linear fit to move to the FITI field The full FIT1 expression is shown 425 8r7t4 3r6 29 The slope m is 425 875 The y intercept b is 376 25 Statistics aplet Predict values 13 To find the predicted sales figure if advertising were to go up to 6 minutes HOME SH TATIETICS MATH S to highlight Stat Two eset gt 4 to highlight ES PREDY 6 4 Return to the Plot view Ps 15 Jump to the indicated point on the regression line 6 Observe the predicted y value in the left bottom corner of the screen wh PRED 2SH31 5 MEHU Statistics aplet 10 5 Entering and editing statistical data HINT
101. The following example uses the parametric equations Open the Parametric aplet Define the expressions Parametric aplet x t 3sint y t 3cost Note This example will produce a circle For this example to work the angle measure must be set to degrees 1 Open the Parametric aplet Select Parametric Define the expressions 3 x GN 75 0 3 C65 79 0 APLET LIERARY 5 GERI Funct ion AKE Inferential EB Parametric Polar AKE Sequence HKE En GS Ed START Taris not EDIT CHE PARAMETRIC SH X1CTI B4S1NCTS A Y1CTOS32COSCT3 ur 4 J 4 1 Set angle measure Set up the plot Plot the expression 42 4 Set the angle measure to degrees MODES Select Degrees CHOOSE AMGLE MEASURE ee Display the graphing options SHIFT PLOT PARAMETRIC PLOT SETUP gt 21 6 2 5 1 3 2 TIME VALUE T The Plot Setup input form has two fields not included in the Function aplet TRNG and TSTEP TRNG specifies the range of t values TSTEP specifies the step value between t values Set the TRNG and so that t steps from O to 360 in 5 steps gt 360 ma Plot the expression PARAMETRIC PLOT SETUP TRNG ae TSTEP 5 5 YR
102. ZOOM factor in Numeric Setup Decimal Changes intervals for the independent variable to O 1 units Starts at zero Shortcut to changing NUMSTART and NUMSTEP Integer Changes intervals for the independent variable to 1 unit Starts at zero Shortcut to changing NUMSTEP Trig Changes intervals for independent variable to 2 24 radian or 7 5 degrees or 8 3 grads Starts at zero Un zoom Returns the display to the previous Zoom The display on the right is a Zoom In of the display on the left The zoom factor is 4 x x 025 Lugugaus 0 iy ___ E a i m lrh 1P7H1u0Hl H 3894183 0 1986693 5 4794255 3 98854 16646BE 2 3 9883416646BE 2 Cons is per onn CUT Tn To jump to an independent variable value in the table use the arrow keys to place the cursor in the independent variable column then enter the value to jump to You can enter any new value in the X column When you press the values for the dependent variables are recalculated and the entire table is regenerated with the same interval between X values Aplets and their views Building your own table of numbers The default NUMTYPE is Automatic which fills the table with data for regular intervals of the independent 0 or N variable With the NUMTYPE option set to Build Your Own you fill the table yourself by typing in the independent variable values you want The dep
103. a template for another 1 Press suirr PROGRM to open the Program catalog 2 Press ETHER 3 Type a new file name then choose The Program Editor opens with a new program 4 Press to open the variables menu 5 Press 7 to quickly scroll to Program 6 Press gt then highlight the program you want to copy 7 Press mama then press The contents of the highlighted program are copied into the current program at the cursor location HINT Ifyou use a programming routine often save the routine under a different program name then use the above method to copy it into your programs Transmit a You can send programs to and receive programs from prog prog program other calculators just as you can send and receive aplets matrices lists and notes After aligning the calculators infrared ports open the Program catalogs on both calculators Highlight the program to Sen men press on the sending calculator and 399 on the receiving calculator You can also send programs to and receive programs from a remote storage device aplet disk drive or computer This takes place via a cable connection and requires an aplet disk drive or specialized software running on a PC such as a connectivity kit 18 8 Programming Delete program Delete all programs Delete the contents of a program To delete a program 1 Press SHIFT PROGRM to open the Program catalog 2 Highlight a program to d
104. ables but do not display results Arguments are separated by semi colons such as DISP expression line expression A number variable or algebraic expression numbers plus functions that produces a value function An operation possibly with arguments that returns a result It does not store results in variables The arguments must be enclosed in parentheses and separated with commas or periods in Comma mode such as CROSS matrix I matrix 2 HOME The basic starting point of the calculator Go to HOME to do calculations Library For aplet management to start save reset send and receive aplets 1 list matrix menu menu keys nole program sketch variable veclor R 2 A set of values separated by commas periods if the Decimal Mark mode is set to Comma and enclosed in braces Lists are commonly used to enter statistical data and to evaluate a function with multiple values Created and manipulated by the List editor and catalog A two dimensional array of values separated by commas periods if the Decimal Mark mode is set to Comma and enclosed in nested brackets Created and manipulated by the Matrix catalog and editor Vectors are also handled by the Matrix catalog and editor A choice of options given in the display It can appear as a list or as a set of menu key labels across the bottom of the display The top row of keys Their operations depend on the current context The
105. ain to change the VIEWS menu All the programs that are called from the VIEWS menu are transferred when the aplet is transferred for example to another calculator or to a PC As part of the VIEWS menu configuration you can specify programs that you want transferred with the aplet but are not called as menu options For example these can be sub programs that menu Programming Programming options use or the program that defines the aplet s VIEWS menu You can include a Start option in the VIEWS menu to specify a program that you want to run automatically when the aplet starts This program typically sets up the aplet s initial configuration The START option on the menu is also useful for resetting the aplet Command syntax The syntax for the command is as follows SETVIEWS Prompt ProgramName 1 ViewNumber1 Prompt2 ProgramName2 ViewNumber2 You can repeat as many Prompt ProgramName ViewNumber trios of arguments as you like Within each Prompt ProgramName ViewNumber trio you separate each item with a semi colon Prompt Prompt is the text that is displayed for the corresponding entry in the Views menu Enclose the prompt text in double quotes Associating programs with your aplet It Prompt consists of a single space then no entry appears in the view menu The program specified in the ProgramName item is associated with the aplet and transferred whenever the aplet is transmitte
106. am Matrix Editor Opens the Matrix editor for the specified matrix Returns to the program when user presses Hg EDITMAT matrixname The EDITMAT command can also be used to create matrices 1 Press SHIFT CMDS 0 gt SIN 2 Press ALPHA M 1 and then press ENTER The Matrix catalog opens with M1 available for editing EDITMAT matrixname is an alternative to opening the matrix editor with matrixname This command prevents the display from being updated after the program runs This allows you to view the graphics created by the program Cancel FREEZE by pressing any key FREEZE Programming MSGBOX Programming Waits for a key then stores the keycode rc p in name where r is row number is column number and p is plane number The key planes numbers are 1 for unshifted 2 for shifted 4 for alpha shifted and 5 for both alpha shitted and shifted GETKEY name Creates an input form with a title bar and one field The field has a label and a default value There is text help at the bottom of the form The user enters a value and is stored in the variable name The title label and help items are text strings and need to be enclosed in double quotes Use SHIFT CHARS to type the quote marks INPUT name title label help default Example INPUT R Circular Area Radius Enter Number 1 Displays a message box containing fextitem A te
107. ance Solver Background Using the Finance Solver The Finance Solver or Finance aplet is available by using the APLET key in your calculator Use the up and down arrow keys to select the Finance aplet Your screen should look as follows APLET LIERARY Polar HEE 4 gequernce HKE salue Finance Statistics HEB LANE RESET S0KT SEND START Press the key or the soft menu key to activate the aplet The resulting screen shows the different elements involved in the solution of financial problems with your HP 3995 calculator SEUSS TIME VALUE HONET HM pu PHT d End ENTER WO PHYMENTS OF SOLVE ART SOLVE Background information on and applications of financial calculations are provided next The Finance Solver application provides you with the ability of solving time value of money and amortization problems These problems can be used for calculations involving compound interest applications as well as amortization tables Compound interest is the process by which earned interest on a given principal amount is added to the principal at specitied compounding periods and then the 12 1 combined amount earns interest at a certain rate Financial calculations involving compound interest include savings accounts mortgages pension funds leases and annuities Time Value o
108. and Numeric views Enters the independent variable in the Function aplet Or you can use the key on the keyboard Enters the independent variable in the Parametric aplet Or you can use the key on the keyboard Enters the independent variable in the Polar aplet Or you can use the key on the keyboard Enters the independent variable in the Sequence aplet Or you can use the key on the keyboard Displays the current expression in text book form Resolves all references to other definitions in terms of variables and evaluates all arithmetic expressions Displays a menu for entering variable names or contents of variables Aplets and their views Meaning Continued MATH DEL SHIFT CLEAR CHARS Displays the menu for entering math operations Displays special characters To enter one place the cursor on it and press To remain in the CHARS menu and enter another special character press Ei Deletes the highlighted expression or the current character in the edit line Deletes all expressions in the list or clears the edit line About the Plot view entering and selecting check marking the expression in the Symbolic view press PLOT To adjust the appearance of the graph or the interval that is displayed you can change the Plot view settings You can plot up to ten expressions at the same time Select the expressions you want to be plot
109. angle could possibly have all the values you specified In these cases No sol with given data appears on the screen The situation is similar if you are using the simpler input form for a rightangled triangle and you enter more than two values 9 3 9 4 Not enough data If you are using the general input form you need to specity at least three values ot enough Jata for the Triangle Solver to nter Length of side be able to calculate the remaining attributes of the triangle If you specify less than three Not enough data appears on the screen If you are using the simplified input form for a right angled triangle you must specify at least two values In addition you cannot specify only angles and no lengths Triangle Solve aplet 10 Statistics aplet About the Statistics aplet The Statistics aplet can store up to ten data sets at one time It can perform one variable or two variable statistical analysis of one or more sets of data The Statistics aplet starts with the Numeric view which is used to enter data The Symbolic view is used to specify which columns contain data and which column contains frequencies You can also compute statistics values in HOME and recall the values of specific statistics variables The values computed in the Statistics aplet are saved in variables and many of these variables are listed by the function accessible from the Statistics aplet s Numeric view
110. aplet 1 Open the Sketch view of the aplet SHIFT SKETCH The graphic will be copied here 2 Press VARS 3 Highlight Graphic then press gt and highlight the name of the variable G1 etc 4 Press to recall the contents of the graphics variable 5 Move the box to where you would like to copy the graphic then press The notepad Subject to available memory you can store as many notes as you want in the Notepad SHIFT NOTEPAD These notes are independent of any aplet The Notepad catalog lists the existing entries by name It does not include notes that were created in aplets Note views but these can be imported See To import a note on page 17 8 To create a note in 1 Display the Notepad a the Notepad catalog SHIFT NOTEPAD 2 Create a new note ENTER FOR MOTE And CAMEL 0 3 Enter a name for your note MYNOTE DIS MOTE MAME E 17 6 Notes sketches Notepad Catalog keys Notes and sketches 4 Write your note MOTE See Note edit keys THIS IS MY TEST on page 172 for more information on the entry and editing of catalog eS notes 5 When you are finished press or an aplet key to exit
111. argument empty to run the standard menu option Insert a program name to run the before the standard menu option is executed third argument specifies the view and the menu number for the item Determine the menu number from the View numbers table below Note SETVIEWS with no arguments resets the views to default of the base aplet 18 16 Programming UNCHECK View numbers The Function aplet views are numbered as follows 0 11 List Catalog 1 Plot 12 Matrix Catalog 2 Symbolic 13 Notepad Catalog 3 Numeric 14 Program Catalog 4 Plot Setup 15 Plot Detail 5 Symbolic Setup 16 X PlotTable 6 Numeric Setup 17 Overlay Plot 7 Views 18 Auto scale 8 Note 19 Decimal 9 Sketch view 20 Integer 10 Catalog 21 Trig View numbers from 15 on will vary according to the parent aplet The list shown above is for the Function aplet Whatever the normal VIEWS menu for the parent aplet the first entry will become number 15 the second number 16 and so on Unchecks unselects the corresponding function in the current aplet For example Uncheck 3 would uncheck F3 if the current aplet is Function UNCHECK n Branch commands IF THEN END Programming Branch commands let a program make a decision based on the result of one or more tests Unlike the other programming commands the branch commands work in logical groups Therefore the commands are described together rather than each ind
112. ata points Angle Setting You can ignore the angle measurement mode unless your Fit definition in Symbolic view involves a trigonometric function In this case you should specify in the mode screen whether the trigonometric units are to be interpreted in degrees radians or grads To choose the fit 1 In Numeric view make sure is set 2 Press SETUP SYMB to display the Symbolic Setup view Highlight the Fit number S1FIT to S5FIT you want to define 3 Press AME and select from the list Press ma when done The regression formula for the fit is displayed in Symbolic view Fit models Ten fit models are available Fit model Meaning Linear Default Fits the data to a straight line y Uses a least squares fit Logarithmic Fits to a logarithmic curve 1 b Exponential Fits to an exponential curve y be Fits to a power curve y bx 10 12 Statistics aplet To define your own fit Statistics aplet Fitmodel 00 Meaning Continued Quadratic Fits to a quadratic curve y ax bx c Needs at least three points Fits to a cubic curve y ax bx cx d Needs at least four points Logistic Fits to a logistic curve TEN 1 where L is the saturation value for growth You can store a positive real value in L or if L O let L be computed automatically Exponent Fits to an exponent curve y ab Trigonometric Fits to a trigonometric curve
113. ate a series 16 8 list function syntax 16 6 list variables 16 1 returning position of element in 16 8 reversing order in 16 9 sending and receiving 16 6 sorting elements 16 9 storing elements 16 1 16 4 16 5 storing one element 16 6 logarithm 13 4 logarithmic fit 10 13 functions 13 3 logical operators AND 13 19 equals logical test 13 19 greater than 13 19 greater than or equal to 13 19 IFTE 13 19 less than 13 18 less than or equal to 13 18 NOT 13 19 not equal to 13 19 OR 13 19 XOR 13 19 logistic fit 10 13 loop commands BREAK 18 24 DO UNTIL END 18 23 FOR l 18 24 WHILE REPEAT END 18 23 loop functions ITERATE 13 10 RECURSE 13 10 summation 13 11 low battery 1 1 lowercase letters 1 6 M mantissa 13 15 math functions complex number 13 7 hyperbolic 13 10 in menu map R 13 keyboard 13 3 logical operators 13 18 menu 1 polynomial 13 11 probability 13 12 real number 13 13 symbolic 13 17 trigonometry 13 19 MATH menu 13 1 math operations 1 19 enclosing arguments 1 21 in scientific notation 1 20 negative numbers in 1 20 matrices adding rows 18 24 addition and subtraction 15 6 arguments 15 10 arithmetic operations in 15 6 assembly from vectors 15 1 changing row position 18 25 column norm 15 10 comma 16 7 commands 15 10 condition number 15 11 create identity 15 13 creating 15 3 creating in Home 15 5 deleting 15 5 deleting columns 18 24 deleting rows 18 24 determinant 15 11 display eigenvalues 15 11
114. ategories is displayed SHIFT MEMORY MEMORY MANAGER OKB EP Free memory is parans gcc 512 displayed the top 2 12Tz right corner and the Ema pem Ee body of the screen lists each category the memory it uses and the percentage of the total memory it uses Select the category with which you want to work and press prag Memory Manager displays memory details of Unies within the category v v v MATRIX CATALOG TE 181 REAL MATRIS M3 181 REAL MATRIE ORE 4 151 REAL MATARIN 181 REAL MATRIE EDIT To delete variables a category Press DEL to delete the selected variable Press SHIFT CLEAR to delete all variables in the selected category 14 9 Matrices 15 Introduction Vectors Matrices Matrix Variables Matrices You can perform matrix calculations in HOME and in programs The matrix and each row of a matrix appear in brackets and the elements and rows are separated by commas For example the following matrix 123 456 is displayed in the history as 1 2 3 4 5 6 If the Decimal Mark mode is set to Comma then separate each element and each row with a period You can enter matrices directly in the command line or create them in the matrix editor Vectors are one dimensional arrays They are composed of just one row
115. atical operations You can extend the capability of the HP 3995 in the following ways e Create new aplets based on existing aplets with specific configurations such as angle measure graphical or tabular settings and annotations Transmit aplets between HP 3905 calculators via an infra red link Download e lessons teaching aplets from Hewlett Packard s Calculator web site Program new aplets See chapter 18 Programming for further details Creating new aplets based on existing aplets Example You can create a new aplet based on an existing aplet To create a new aplet save an existing aplet under a new name then modify the aplet to add the configurations and the functionality that you want Information that defines an aplet is saved automatically as it is entered into the calculator To keep as much memory available for storage as possible delete any aplets you no longer need This example demonstrates how to create a new aplet by saving a copy of the built in Solve aplet The new aplet is saved under the name TRIANGLES contains the formulas commonly used in calculations involving right angled triangles 19 1 Extending aplets 1 Open the Solve aplet and save it under the new name Solve ALPHA TRIANGLES 2 Enter the four formulas SIN ALPHA D B ALPHA ACPA ENTER COs ALPHA 6 B ALPHA 2 ALPHA ENTER TAN ALPHA 0D B
116. ating body 2 X V T 7 7 7 8 where X is distance Vo is initial velocity Tis time and A is acceleration This is actually two equations Y X and Y VoT AT 2 Since this equation is quadratic for T there can be both a positive and a negative solution However we are concerned only with positive solutions since only positive distance makes sense 1 Select the Solve aplet and enter the equation Select Solve Ei ALPHA V x 4 ALPHA ES 7 EWT CHE SHO EVAL ALPHA A 2 Find the solution for T time when 30 V 2 and Enter the values for X V and 4 then highlight the independent variable NUM SOLVE MUMERIC 2 30 LENTER NNNEEEEEEEEN 2 ENTER EMTER VALUE PRES ZDLVE 4 ENTER EDIT INFO DEFN 3DLVE lv to highlight T 3 Usethe Plot view to find an initial guess for T First set appropriate X and Y ranges in the Plot Setup With equation X Vx T Ax 2 the plot will produce two graphs one for Y X and one for X VxT 2 Since we have set X 30 in this example one of the graphs will be Y 30 Therefore make the vRNG 5 to 35 Keep the xRNG default of 6 5 to 6 5 SHIFT SETUP PLOT SOLVE PLOT SETUP 6 5 5 2 ENTER YENG z v 5 5 35 mo RE Detail ENTER EMTER HORIZONTAL TICK SPACING EDT _ 2 4 Plot the graph
117. ay the on line Tests the null hypothesis that To close the ondine help set of 50 candon nunbers Fron 0 By default each field already contains a value These values constitute the example database and the population is an rer uglug qd3dinz J help press alternative data 1 32enzradted J cahculater 55 mum 3 He n oF D H5i252 The Display the test results in numeric format NUM INF TRT HMLPEEIC Test 227 P aeos z3 The test distribution value Probe 1720213 Critical 22 1 544854 and its associated Critical a 4525433 probability are eet or displayed along with the critical value s of the test and the associated critical value s of the statistic Note You can access the on line help in Numeric view Display a graphic view of the test results PLOT R Z 1 644854 CRIT 2 Horizontal axes are Test 25 S4EZOSH presented for both the n distribution variable and the test statistic A generic bell curve represents the probability distribution function Vertical lines mark the critical value s of the test as well as the value of the test statistic The rejection region is marked amp and the test numeric results are displayed between the horizontal axes Importing sample statistics from the Statistics aplet The Inference aplet supports the cal
118. bweb 6 1 comparing 2 5 connected points 10 17 10 19 decimal scaling 2 14 defining the independent variable 18 36 drawing axes 2 7 expressions 3 3 grid points 2 7 histogram 10 15 in Solve aplet 7 7 integer scaling 2 14 one variable statistics 10 18 overlay plot 2 13 overlaying 2 15 4 3 scaling 2 13 scatter 10 15 10 17 sequence 2 6 setting up 2 5 3 2 splitscreen view 2 14 splitting 2 14 splitting into plot and close up 2 13 splitting into plot and table 2 13 stairsteps 6 1 statistical data 10 15 statistics parameters 10 18 tvalues 2 6 tickmarks 2 6 to capture current display 18 21 tracing 2 8 trigonometric scaling 2 14 two variable statistics 10 18 plotting resolution and tracing 2 8 plotview variables area 18 32 connect 18 32 fastres 18 32 function 18 32 grid 18 33 hmin hmax 18 33 hwidth 18 33 isect 18 34 labels 18 34 recenter 18 34 root 18 34 s mark sSmark 18 35 statplot 18 35 tracing 18 33 umin umax 18 36 ustep 18 36 polar variables axes 18 32 connect 18 32 grid 18 33 in menu map 9 indep 18 33 labels 18 34 recenter 18 34 ycross 18 37 polynomial coefficients 13 11 evaluation 13 11 form 13 11 roots 13 12 Taylor 13 7 polynomial functions POLYCOEF 13 11 POLYEVAL 13 11 POLYFORM 13 11 POLYROOT 13 12 ports 19 5 position argument 18 21 power x raised to y 13 5 precedence 1 22 predicted values statistical 10 20 print contents of display 18 26 name and contents of variable 18 26 object
119. cal axis SO 1 pixel 0 1 unit Not in Sequence or Statistics aplets Aplets and their views Option Meaning Continued Un zoom Returns the display to the previous zoom or if there has been only one Zoom un zoom displays the graph with the original plot settings ZOOM examples The following screens show the effects of zooming options plot of 3sinx Plot of 3 sinx TET Fa n HEHU Zoom In GEE Eel In 0 MEM Un zoom Un zoom Note Press to move to the bottom of the Zoom list 0 Zoom Out Out DIS Now un zoom TE LETTO ED LOB X Zoom In X Zoom In Now un zoom EP ee DTE X Zoom Out X Zoom Out Now un zoom DTS 5070 Aplets and their views 2 11 Y Zoom In Y 200m In Now un zoom TS GOTO DEFN Y Zoom Out Y Zoom Out B 200M TRACE GOTO HEHU Zoom Square HME Square MA TS GOTO EDGE HEHU To box zoom The Box Zoom option lets you draw a box around the area you want to zoom in on by selecting the endpoints of one diagonal of the zoom rectangle 1 If necessary press ERT to turn on the menu key labels 2 Press and se
120. cesses One Sample T Interval Menu name T INT 1 u This option uses the Student s t distribution to calculate a contidence interval for m the true mean of a population for the case in which the true population standard deviation s is unknown Inputs The inputs are Field name Definition x Sample mean Sample standard deviation Sample size Confidence level 11 18 Inference aplet Results The results are Result Description Critical T u Min u Max Critical value for T Lower bound for Upper bound for Two Sample T Interval Menu name T INT ul u2 This option uses the Student s t distribution to calculate a confidence interval for the difference between the means of two populations u1 u2 when the population standard deviations sland 52 are unknown Inputs The inputs are Field name Definition 2 51 52 nd n2 Pooled Sample 1 mean Sample 2 mean Sample 1 standard deviation Sample 2 standard deviation Sample 1 size Sample 2 size Confidence level Whether or not to pool the samples based on their standard deviations Inference aplet 11 19 Results 11 20 The results are Result Description Critical T Critical value for T u Min Lower bound for u p9 u Max Upper bound for u Inference aplet 12 Using the Fin
121. complex ume by typing xi where represents the real part and i represents the imaginary part GO to G9 See Graphic commands on page 18 21 for more information on storing graphic objects via programming commands See To store into a graphics variable on page 17 5 for more information on storing graphic object via the sketch view Aplet library variables can store aplets that you have created either by saving a copy of a standard aplet or downloading an aplet from another source LO to L9 For example 1 2 3 11 MO to 9 can store matrices or vectors For example 1 2 3 4 MO Modes variables store the modes settings that you can configure using SHIFT MODES Notepad variables store notes Program variables store programs A to Z and For example 7 45 Variables and memory management 14 7 Aplet variables To access an aplet variable 14 8 Most aplet variables store values that are unique to a particular aplet These include symbolic expressions and equations see below settings for the Plot and Numeric views and the results of some calculations such as roots and intersections See the Reference Information chapter for more information about aplet variables Category Available names Function FO to F9 Symbolic view See Function aplet variables on page R 7 Parametric XO YO to X9 Y9 Symbolic view See Parametric aplet var
122. culation of confidence intervals and the testing of hypotheses based on data in the Statistics aplet Computed statistics for a sample of data in a column in any Statistics based aplet can be imported for use in the Inference aplet The following example illustrates the process Inference aplet Open the Statistics aplet Enter data HINT Calculate statistics Inference aplet A calculator produces the following 6 random numbers 0 529 0 295 0 952 0 259 0 925 and 0 592 1 Open the Statistics aplet and reset the current settings Select Statistics EDIT 195 CT The Statistics aplet opens Numeric view In the column enter the random numbers produced by the calculator 1529 21295 1952 259 EDIT NITE 0925 21992 If the Decimal Mark setting in the Modes input form SHIFT modes is set to Comma use instead of 3 If necessary select 1 variable statistics Do this by pressing the fifth menu key until is displayed as its menu label Calculate statistics The mean of 0 592 seems a little large compared to the expected value of 0 5 To see if the difference is statistically significant we will use the statistics computed here to construct a confidence interval for the true mean of the population of random numbers and see whether or not this interval contains 0 5
123. d Typically you do this if you want to transfer the Setviews program with the aplet or you want to transfer a sub program that other menu programs use Auto run programs If the Prompt item is Start then the ProgramName program runs whenever you start the aplet This is useful for setting up a program to configure the aplet Users can select the Start item from the VIEWS menu to reset the aplet if they change configurations You can also define a menu item called Reset which is auto run if the user chooses the 22421 button in the APLET view 18 15 ProgramName ProgramName is the name of the program that runs when the corresponding menu entry is selected All programs that are identified in the aplet s SETVIEWS command are transferred when the aplet is transmitted ViewNumber ViewNumber is the number of a view to start after the program finishes running For example if you want the menu option to display the Plot view when the associated program finishes you would specify 1 as the ViewNumber value Including standard menu options To include one of an aplet s standard VIEWS menu options in your customized menu set up the arguments trio as follows first argument specifies the menu item name Leave the argument to use the standard Views menu name for the item or Enter a menu item name to replace the standard name The second argument specifies the program to run Leave the
124. d enter the known values NUM ENTER VALUE PRESS SOLVE Bia EN T7 ET 35 ENTER 5 ENTER 4 Solve for the missing TRIRM LEs NUMERIC VIEH 288 B value ie EN i ENTER VALUE PRESS SOLVE The length of the ladder INFO is approximately 8 72 metres Resetting an aplet Extending aplets Resetting an aplet clears all data and resets all default settings To reset an aplet open the Library select the aplet and You can only reset an aplet that is based on a builtin aplet if the programmer who created it has provided a Reset option 19 3 Annotating an aplet with notes The Note view NOTE attaches a note to the current aplet See Chapter 17 Notes and sketches Annotating an aplet with sketches HINT The Sketch view SHIFT SKETCH attaches a picture to the current aplet See chapter 17 Notes and sketches Notes and sketches that you attach to an aplet become part of the aplet When you transfer the aplet to another calculator the associated note and sketch are transferred as well Downloading e lessons from the web In addition to the standard aplets that come with the calculator you can download aplets from the world wide web For example Hewlett Packard s Calculators web site contains aplets that demonstrate certain mathematical concepts Note that you need the Graphing Calculator Connectivity Kit in order to load aplets from a PC Hew
125. describes how to open the Program catalog create a new program enter commands from the program commands menu enter functions from the MATH menu edit a program run and debug a program stop a program Copy a program send and receive a program delete a program or its contents customize an aplet 1 Press SHIFT PROGRM The Program Catalog displays a list of program names The Program Catalog contains a built in entry called Editline Editline contains the last expression that you entered from the edit line in HOME or the last data you entered in an input form If you press from HOME without entering any data the HP 3905 runs the contents of Editline Before starting to work with programs you should take a few minutes to become familiar with the Program catalog menu keys You can use any of the following keys both menu and keyboard to perform tasks in the Program catalog Programming Program catalog keys The program catalog keys are Programming SHIFT or tv DEL SHIFT CLEAR Meaning Opens the highlighted program for editing Prompts for a new program name then opens an empty program Transmits the highlighted program to another HP 3905 or to a disk drive Receives the highlighted program from another HP 39gs or from a disk drive Runs the highlighted program Moves to the beginning or end of the Program catalog Deletes the highlight
126. e Plot view press fig This draws a curve to fit the Correlation coefficient Statistics aplet checked two variable data set s See To choose the fit on page 10 12 EMU FIT EDDIE The expression in Fit2 shows that the slope 1 98082191781 and the y intercept 2 2657 zBg 11 1 HEHU 11 1 HEHU n 11 1 HEHU STATISTIC VIEH REESE 51 1 Ce Fitii2 i2195121951 4S2 L3 C4 1 25052191751 ENTER USER DEFINED FIT EDIT CHE H f SHO EVAL 38H82181781 ate or The correlation coefficient is stored in the CORR variable It is a measure of fit to a linear curve only Regardless of the Fit model you have chosen CORR relates to the linear model 10 17 Relative Error HINT The relative error is a measure of the error between predicted values and actual values based on the specitied Fit A smaller number means a better fit The relative error is stored in a variable named RELERR The relative error provides a measure of fit accuracy for all fits and it does depend on the Fit model you have chosen In order to access the CORR and RELERR variables after you plot a set of statistics you must press NUM to access the numeric view and then to display the correlation values The values are stored in the variables when you access the Symbolic view Setting up t
127. e Press v or to scroll through the list If you press v or you ll go all the way to the end or the beginning of the list Highlight the item you want to select then press ff ENTER Getting started cancel menu Input forms Reset input form values Getting started f there are two columns the left column shows general categories and the right column shows specific contents within a category Highlight a general category in the left column then highlight an item in the right column The list in the right column changes when a different category is Biggs dom speed search a list type the first letter of the word For example to find the Matrix category in MATH press D the Alpha M key e To go up a page you can press 4 To go down a page press gt Press ON for CANCEL or This cancels the current operation An input form shows several fields of information for you to examine and specify After highlighting the field to edit you can enter or edit a number or expression You can also select options from list 14 Some input forms include items to check 818 See below for examples input forms FUMCTIOM PLOT ETUP FUMCTIOM PLOT SETUP 2 52145 IAW CROSS TRAG 2 1 3 2 y COMMECT v LABEL TICE 1 YTICE 1 WANES _ GRID Paster ENTER MINIMUM HORIZONTAL VALUE
128. e and frequency of the graph This is most easily seen by experimenting Pressing displays the equation at the top of the screen The equation is controlled by the graph Pressing the gt and 4 keys moves from parameter to parameter Pressing the a or key changes the parameter s values The default angle setting for this aplet is radians The angle setting can be changed to degrees by pressing 1 15 Aplet library To open an aplet Aplet views Symbolic view Plot view 1 16 Aplets are stored in the Aplet library Press to display the Aplet library menu Select the aplet and press or ENTER From within an aplet you can return to HOME any time by pressing When you have configured aplet to define the relation or data that you want to explore you can display it in different views Here are illustrations of the three major aplet views Symbolic Plot and Numeric the six supporting aplet views from the VIEWS menu and the two user defined views Note and Sketch Note some aplets such as the Linear Solver aplet and the Triangle Solver aplet only have a single view the Numeric view Press to display the aplet s Symbolic view You use this view to define FUNCION EEE the function s or equation s 2 2 2 that you want to explore See About the Symbolic cas view
129. e cursor in the edit line Displays the current expression in standard mathematical form Deletes the highlighted expression from the display history unless there is a cursor in the edit line Clears all lines of display history and CLEAR the edit line Clearing the It s a good habit to clear the display history SHIFT display history CLEAR whenever you have finished working in HOME It saves calculator memory to clear the display history Remember that all your previous inputs and results are saved until you clear them Using fractions To work with fractions in HOME you set the number format to Fraction or Mixed Fraction as follows Setting Fraction 1 HOME open the HOME MODES input form mode SHIFT MODES HOME MODES ANGLE MEASURE MUMEER FORMAT Standard DECIMAL MARK Dot 5 CHOOSE ANGLE MEASURE C Getting started 1 25 Setting fraction precision 1 26 options and highlight Fraction or Mixed Fraction 2 Select Number Format press to display the ANGIE 15 1 Engineer in 3 Press 89 to select the Number Format option then move to the precision value field HOME MODES AMGLE MEASURE Padi ans NUMBER FORMAT Fraction DECIMAL MARK Dot EMTER DECIMAL PLACE TO USE EDIT 4 Enter the precision value that you want to use and press to set the precision
130. e edit line Start and end the matrix and each row with square brackets the shifted 5 and 6 keys 2 Separate each element and each row with a comma Example 1 2 3 41 3 Press to enter and display the matrix The left screen below shows the matrix 2 5 729 16 2 being stored into M5 The screen on the right shows the vector 66 33 11 being stored into 6 Note that you can enter an expression like 5 2 for an element of the matrix and it will be evaluated H FUNCTION PARAD FUHCTIDH 2 2 2751 16 211 42 32 111 46 2 2 7291 16 211 5564324111 HI A 8202 RR RN 15 5 Matrices store HOME enter value matrixname row column element For example to change the element in the first row and second column of M5 to 728 then display the resulting matrix FUNCTION RAD 728 ALPHA P2UkM5C 1s 2 M5001020 us das L2 9 r281 L15 211 ALPHA M5 An attempt to store an element to a row column beyond the size of the matrix results in an error message Matrix arithmetic You can use the arithmetic functions x and powers with matrix arguments Division left multiplies by the inverse of the divisor You can enter the matrices themselves or enter the names of stored matrix variables The matrices can be real or complex
131. e equipment at the time of disposal will help to conserve natural resources and ensure that it is recycled in a manner that protects human health and the environment For more information about where you can drop off your waste equipment for recycling please contact your local city office your household waste disposal service or the shop where you purchased the product Index A absolute value 13 5 add 13 3 algebraic entry 1 19 alpha characters typing 1 6 alphabetical sorting 19 6 angle measure 1 10 in statistics 10 12 setting 1 11 animation 17 5 creating 17 5 annunciators 1 3 Ans last answer 1 24 antilogarithm 13 4 13 9 aplet attaching notes 19 4 clearing 19 3 copying 19 4 definition of R 1 deleting 19 6 Function 13 21 Inference 11 1 key 1 4 library 19 6 Linear Solver 8 1 opening 1 16 Parametric 4 1 Polar 5 1 receiving 19 5 resetting 19 3 sending 19 4 19 5 Sketch view 17 1 Solve 7 1 sorting 19 6 statistics 10 1 transmitting 19 5 Triangle Solver 9 1 aplet commands CHECK 18 14 SELECT 18 14 SETVIEWS 18 17 UNCHECK 18 17 aplet variables definition 14 1 14 8 in Plot view 18 32 new 14 1 aplet views canceling operations in 1 1 changing 1 19 note 1 18 Numeric view 1 17 Plot view 1 16 sketch 1 18 splitscreen 1 17 Symbolic view 1 16 arc cosecant 13 20 arc cosine 13 4 arc cotangent 13 19 arc secant 13 20 arc sine 13 4 arc tangent 13 5 area graphical 3 10 interactive 3 10 variable 18 32 arguments
132. e must be two columns of data and each column must have at least four numbers Array argument had wrong dimensions Need two columns with equal numbers of data values Message Meaning Continued Invalid Syntax Name Conflict No Equations Checked OFF SCREEN Receive Error Too Few Arguments Undefined Name Undefined Result Out of Memory The function or command you entered does not include the proper arguments or order of arguments The delimiters parentheses commas periods and semi colons must also be correct Look up the function name in the index to find its proper syntax The where function attempted to assign a value to the variable of integration or summation index You must enter and check an equation Symbolic view before evaluating this function Function value root extremum or intersection is not visible in the current screen Problem with data reception from another calculator Re send the data The command requires more arguments than you supplied The global variable named does not exist The calculation has a mathematically undefined result such as 0 0 You must recover a lot of memory to continue operation Delete one or more matrices lists notes or programs using catalogs or custom not built in aplets using MEMORY Limited Warranty HP 39gs Graphing Calculator Warranty period 12 months 1
133. e test is initially false Its syntax is WHILE test clause REPEAT loop clause END WHILE lt 12 REPEAT 1 A DISP 3 A END FOR TO STEP FOR name starkexpression TO end expression END STEP increment loop clause END FOR 1 12 STEP 1 DISP 3 END Programming 18 23 Note that the STEP parameter is optional is omitted a step value of 1 is assumed Terminates loop BREAK Matrix commands ADDCOL ADDROW DELCOL DELROW EDITMAT 18 24 The matrix commands take variables 9 as arguments Add Column Inserts values into a column before column number in the specified matrix You enter the values as a vector The values must be separated by commas and the number of values must be the same as the number of rows in the matrix name ADDCOL name value value column number Add Row Inserts values into a row before row number in the specified matrix You enter the values as a vector The values must be separated by commas and the number of values must be the same as the number of columns in the matrix name ADDROW name value value row number Delete Column Deletes the specified column from the specified matrix DELCOL name column number Delete Row Deletes the specified row from the specified matrix DELROW name row_number Starts the Matrix Editor and displays the specified matrix If used in programming return
134. e the text on the edit line To lock the Alpha shift on press for uppercase or EWE for lowercase To make the label a smaller character size turn off before pressing EES AH is a toggle between small and large font size The smaller character size cannot display lowercase letters Press Position the label where you want it by pressing the 4 v gt 4 keys 4 Press BIB again to affix the label Press to continue drawing or press to exit the Sketch view You can create a set of up to ten sketches This allows for simple animation After making a sketch press 31 to add a new blank page You can now make a new sketch which becomes part of the current set of sketches To view the next sketch in an existing set press AAZ Hold RAZ down for animation To remove the current page in the current sketch series press DEL You can define a portion of a sketch inside a box and then store that graphic into a graphics variable 1 In the Sketch view display the sketch you want to copy store into a variable Press FALTA Highlight the variable name you want to use and press Big Draw a box around the portion you want to copy move the cursor to one corner press then move the cursor to the opposite corner and press BIB 17 5 To import a You can copy the contents of a graphics variable into the graphics variable Sketch view of an
135. eate a program named EXP SV Include the following code in the program Each entry line after the command SETVIEWS is a trio that consists of a VIEWS menu text line a space indicates none a program name and a number that defines the view to go to after the program has run its course All programs listed here will transfer with an aplet when the aplet is transferred SETIWILEW5 Mg ile pgs Sets the first menu option to be Auto scale This is the fourth standard Function aplet view menu option and the 18 Auto scale specifies that it is to be included in the new menu The empty quotes will ensure that the old name of Auto scale appears on the new menu See SETVIEWS on page 18 14 My Entryl EXP ME1 1 Sets the second menu option This option runs program EXP ME1 then returns to view 1 Plot view EMY 3 Sets the third menu option This option runs the program EXP ME2 then returns to view 3 the NUM view rr phe rr EXP SV O0 This line specifies that the program to set the View menu this program is transferred with the aplet The space character between the first set of quotes in the trio specifies that no menu option appears for the entry You do not need to transfer this program with the aplet but it allows users to modify the aplet s menu if they want to 18 12 Programming mm EXP ANG O The program EXP ANG is a small routine that i
136. eater than or equal to Returns 1 if true O if false value 1 value2 Compares value and value2 Returns 1 if they are both non zero otherwise returns O value AND value2 If expression is true do the trueclause if not do the falseclause IFTE expression trueclause falseclause Example IFTE X 0 X X Returns 1 if value is zero otherwise returns O NOT value Returns 1 if either value or value2 is non zero otherwise returns O value OR value2 Exclusive OR Returns 1 if either value or value2 but not both of them is non zero otherwise returns 0 value XOR valve2 Trigonometry functions ACOT Using mathematical functions The trigonometry functions can also take complex numbers as arguments For SIN COS TAN ASIN ACOS and ATAN see the Keyboard category Arc cotangent ACOT value 13 19 ACSC ASEC COT CSC SEC Arc cosecant ACSC value Arc secant ASEC value Cotangent cosx sinx COT value Cosecant 1 sinx CSC value Secant 1 cosx SEC value Symbolic calculations In HOME Using formal variables 13 20 The HP 3995 has the ability to perform symbolic calculations for example symbolic integration and ditferentiation You can perform symbolic calculations in HOME and in the Function aplet When you perform calculations that contain normal variables the calculator substitutes values for any variables For example if you enter A B on the co
137. ed algebraic entry enter functions select the key or MATH menu item for that function You can also enter a function by using the Alpha keys to spell out its name e Press to evaluate the expression you have in the edit line where the blinking cursor is An expression can contain numbers functions and variables Getting started 1 19 Long results Negative numbers Scientific notation powers of 10 Example Explicit and implicit multiplication 1 20 2 Calculate 23 HS asy 023 x 114 v 8D s 34 In 45 D TOF PARAL C23e l4d I2524 32 LHc452 628 396184505 If the result is too long to fit on the display line or if you want to see an expression in textbook format press a to highlight it and then press Type to start a negative number or to insert negative sign To raise a negative number to a power enclose it in parentheses For example 5 25 whereas 52 25 A number like 5 10 or 3 21 x 10 is written in scientific notation that is in terms of powers of ten This is simpler to work with than 50000 or 0 000000321 To enter numbers like these use This is easier than using x 10 4 x10 6 x 107 3x10 0 4 5 13 0 x 0 6 EEX 23D E 3 Gir GE TRE ese Calculate FUNCTION 2 5 PARAL FUNCTION 4
138. ed program Deletes all programs in the program catalog 18 3 Creating and editing programs Create a new 1 Press SHIFT PROGRM to open the Program catalog program 2 Press ETHEL The HP 3995 prompts PROGRAM ENTER FOR MEH PROGRAM Anz 06 A program name contain special characters such as a space However if you use special characters and then run the program by typing it in HOME you must enclose the program name in double quotes Don t use symbol within your program name 3 Type your program PROGRAM name then press WE When you press fis the Program Editor I opens DK 4 Enter your program When done start any other activity Your work is saved automatically Entercommands Until you become familiar with the HP 3995 commands the easiest way to enter commands is to select them from the Commands menu from the Program editor You can also type in commands using alpha characters 1 From the Program editor press SHIFT CMDS to open the Program Commands menu SHIFT CMDS RDA APB COMMANDS Ss CHECK Branch SELECT Drawing SETVIEWS Graphic UNCHECK OlOGeQI LA PULL 18 4 Programming Edit a program Programming 1 On the left use v
139. elete then press pri You can delete all programs at once 1 In the Program catalog press CLEAR You can clear the contents of a program without deleting the program name 1 Press sHiFT PROGRM to open the Program catalog Highlight a program then press miti 2 Press SHIFT CLEAR then press HE3 4 The contents of the program are deleted but the program name remains Customizing an aplet Programming You can customize an aplet and develop a set of programs to work with the aplet Use the SETVIEWS command to create a custom VIEWS menu which links specially written programs to the new aplet A useful method for customizing an aplet is illustrated below 1 Decide on the built in aplet that you want to customize For example you could customize the Function aplet or the Statistics aplet The customized aplet inherits all the properties of the built in aplet Save the customized aplet with a unique name 2 Customize the new aplet if you need to for example by presetting axes or angle measures 3 Develop the programs to work with your customized aplet When you develop the aplet s programs use the standard aplet naming convention This allows you to keep track of the programs in the Program catalog that belong to each aplet See Aplet naming convention on page 18 10 18 9 4 Develop program that uses the SETVIEWS command to modify the aplet s VIEWS menu The menu options pro
140. ement To edit a list 16 4 In the List catalog highlight the list name and press n HOME enter the name of the list and press CENTER In HOME enter listname elementZ For example if L2 is 3 4 5 6 then 12 2 returns 4 1 Open the list catalog SHIFT LIST L2 Size B L3 Size B AKE L4 Size B AKE L5 Size dH AKE NIA NENNEN ET RECN 2 Press or to highlight the name of the list you Z TB Press or v to highlight the element you want to edit In this example edit the third element so that it has a value of 5 v Y m DEL DEL 5 5 4 Press Lists Toinsertanelement 1 Open the List catalog in a list ee 2 Press or v to highlight the name of 2r OD the list you want to edit 3 89 65 L1 etc and press FA x igi to display the list GT a contents New elements are inserted above the highlighted position In this example an element with the value of 9 is inserted between the first and second elements in the list 3 Press v to the insertion position then press and press 9 4 Press 1 4 89 Jg Go To sto
141. endent values are then calculated and displayed Build a table 1 Start with an expression defined in Symbolic view in the aplet of your choice Note Function Polar Parametric and Sequence aplets only 2 In the Numeric Setup suirr NUM choose NUMTYPE Build Your Own Open the Numeric view 0 4 Clear existing data in the table SHIFT CLEAR 5 Enter the independent values in the left hand column in a number and press ENTER You do not have to enter them in order because the function can rearrange them To insert a number between two others use Fl and F2 entries are generated automatically You enter numbers into the X column EDIT IN3 3DRT Elia DEEM Clear data Press SHIFT CLEAR WA to erase the data from a table Aplets and their views 2 19 Build Your Own menu keys Key Meaning EDIT Puts the highlighted independent value X T 8 or N into the edit line Pressing replaces this variable with its current value ITE Inserts a zero value at the position of the highlight Replace a zero by typing the number you want and pressing Sorts the independent variable values into ascending or descending order Press and select the ascending or descending option from the menu and press Toggles between two character sizes pra Displays the defining function expression for the highlighted column DEL Del
142. ependently Executes a sequence of commands in the true clause only if the testclause evaluates to true Its syntax is IF fest clause THEN true clause END 18 17 IPA IF THEN MSGBOX EQUALS 1 END IF THEN ELSE Executes the true clause sequence of commands if the test END clause is true or the false clause sequence of commands if the test clause is false IF test clause THEN true clause ELSE false clause END Example IPA IF A 1 THEN MSGBOX A EQUALS 1 ELSE MSGBOX A IS NOT EQUAL TO I END CASE END Executes a series of test clause commands that execute the appropriate frue clause sequence of commands Its syntax is CASE IF festclause THEN frue clause END IF fest clausey THEN frue clause END IF festclause THEN true clause END END When CASE is executed test clause is evaluated If the test is true frue clause is executed and execution skips to END If test clause if false execution proceeds to test clause Execution with the CASE structure continues until a true clause is executed or until all the test clauses evaluate to false IFERR Many conditions are automatically recognized by the HP THEN 39gs as error conditions and are automatically treated as ELSE errors in programs END 18 18 Programming RUN STOP IFERR THEN ELSE END allows a program to intercept error conditions that otherwise would cause the program to abor
143. er aplet allows you to determine the length of a side of a triangle or the angle at the vertex of a triangle from information you supply about the other lengths and or other angles You need to specify at least three of the six possible values the lengths of the three sides and the size of the three angles before the solver can calculate the other values Moreover at least one value you specify must be a length For example you could specify the lengths of two sides and one of the angles or you could specify two angles and one length or all three lengths In each case the solver will calculate the remaining lengths or angles The hp39gs will alert you if no solution can be found or if you have provided insufficient data If you are determining the properties of a rightangled triangle a simpler input form is available by pressing the menu key Note that the Triangle Solver aplet only has a numeric view Getting started with the Triangle Solver aplet Triangle Solve aplet The following example solves for the unknown length of the side of a triangle whose two known sides of lengths 4 and 6 meet at an angle of 30 degrees Before you begin You should make sure that your angle measure mode is appropriate If the angle information you have is in degrees as in this example and your current angle measure mode is radians or grads change the mode to degrees before running the solver See Mode settings on page 1 10
144. es 2 7 expressions 3 3 grid points 2 7 histogram 10 15 in Solve aplet 7 7 one variable statistics 10 18 overlaying 2 15 scatter 10 15 10 17 split screen view 2 14 splitting into plot and close up 2 13 splitting into plot and table 2 13 stairsteps 6 1 statistical data 10 15 t values 2 6 tickmarks 2 6 tracing 2 8 two variable statistics 10 18 Graphic commands GROB 18 2 DISPLAY 18 21 GROBNOT 18 21 GROBOR 18 21 GROBXOR 18 22 18 22 PLOT 18 22 REPLACE 18 22 SUB 18 22 ZEROGROB 18 23 graphics copying 17 6 copying into Sketch view 17 6 storing and recalling 17 6 18 21 H histogram 10 15 adjusting 10 16 range 10 18 setting min max values for bars 18 33 width 10 18 history 1 2 18 26 Home 1 1 calculating in 1 19 display 1 2 evaluating expressions 2 4 reusing lines 1 23 variables 14 1 14 7 R 6 horizontal zoom 18 38 hyperbolic maths functions 13 10 hyperbolic trigonometry ACOSH 13 9 ALOG 13 9 ASINH 13 9 ATANH 13 9 COSH 13 9 EXP 13 10 13 10 LNP1 13 10 SINH 13 9 TANH 13 9 hypothesis alternative 11 2 inference tests 11 8 null 11 2 tests 11 2 i 13 8 implied multiplication 1 20 importing graphics 17 6 notes 17 8 increasing display contrast 1 2 indefinite integral using symbolic variables 13 23 independent values adding to table 2 18 independent variable defined for Tracing mode 18 33 inference confidence intervals 11 15 hypothesis tests 11 8 One Proportion Z I
145. esults are Result Critical Z u Min A u Max Description Critical value for Z Lower bound for u Upper bound for u p 11 16 Inference aplet One Proportion Z Interval Menu name Z INT 1 x This option uses the Normal Z distribution to calculate a confidence interval for the proportion of successes in a population for the case in which a sample of size n has a number of successes x Inputs The inputs are Field Definition name x Sample success count n Sample size C Confidence level Results The results are Result Description Critical Z Critical value for Z x Min Lower bound for Max Upper bound for Two Proportion Z Interval Menu name Z INT 11 22 This option uses the Normal Z distribution to calculate a confidence interval for the difference between the proportions of successes in two populations Inputs The inputs are Field Definition name x1 Sample 1 success count x2 Sample 2 success count Inference aplet 11 17 Field name Definition Continued n1 n2 Sample 1 size Sample 2 size Confidence level Results The results are Result Description Critical Z Min Critical value for 7 Lower bound for the difference between the proportions of successes Upper bound for the difference between the proportions of suc
146. etes the highlighted row CLEAR Clears all data from the table Example plotting a circle Plot the circle 2 y 9 First rearrange it to read y 49 _ x To plot both the positive and negative y values you need to define two equations as follows y PS and y Aplets and their views Aplets and their views In the Function aplet specify the functions Select Function EMI surr 09 2 DJ 09 FUNCTION SYMEOLIC VIEH 1 9 9 ET PTS D Reset the graph setup to the default settings SHIFT ISETUP PLOT SHIFT CLEAR Plot the two functions and hide the menu so that you can see all the circle PLOT Eam FUNCTION PLOT SETUP 2 56 2 3 1 5 2 1 1 Detail ENTER MINIMUM HORIZONTAL VALUE PAGE _ Reset the numeric setup to the default settings SETUP NUM SHIFT CLEAR SETUP MUMS TART MUMSTEP 1 MUMTYPE Automatic MUM 200M TARTIMG VALUE FOR THELE TT ee Display the functions in numeric form NUM 2 21 Function aplet About the Function aplet The Function aplet enables you to explore up to 10 real valued rectangular functions y in terms of x
147. experienced radio or television technician for help The FCC requires the user to be notified that any changes or modifications made to this device that are not expressly approved by Hewlett Packard Company may void the user s authority to operate the equipment Connections to this device must be made with shielded cables with metallic RFI EMI connector hoods to maintain compliance with FCC rules and regulations This device complies with Part 15 of the FCC Rules Operation is subject to the following two conditions 1 this device may not cause harmful interference and 2 this device must accept any interference received including interference that may cause undesired operation For questions regarding your product contact Hewlett Packard Company P O Box 692000 Mail Stop 530113 Canadian Notice Avis Canadien European Union Regulatory Notice Japanese Notice Houston Texas 77269 2000 Or call 1 800 474 6836 For questions regarding this FCC declaration contact Hewlett Packard Company Box 692000 Mail Stop 510101 Houston Texas 77269 2000 Or call 1 281 514 3333 To identify this product refer to the part series or model number found on the product This Class B digital apparatus meets all requirements of the Canadian Interference Causing Equipment Regulations Cet appareil num rique de la classe B respecte toutes les exigences du R glement sur le mat riel brouilleur du Canada This
148. f Money TVM calculations as the name implies make use of the notion that a dollar today will be worth more than a dollar sometime in the future A dollar today can be invested at a certain interest rate and generate a return that the same dollar in the future cannot This TVM principle underlies the notion of interest rates compound interest and rates of return TVM transactions can be represented by using cash flow diagrams A cash flow diagram is a time line divided into equal segments representing the compounding periods Arrows represent the cash flows which could be positive upward arrows or negative downward arrows depending on the point of view of the lender or borrower The following cash flow diagram shows a loan from a borrower s point of view Present value PV Loan Money Equal periods received is m number PMT Money Payment Payment Payment Payment paid out is PMT Future value a negative FV number Equal payments On the other hand the following cash flow diagram shows a load from the lender s point of view Equal payments u w A Equal periods PV In addition cash flow diagrams specify when payments occur relative to the compounding periods at the beginning of each period or at the end The Finance Solver application provides both of these payment modes
149. for instructions Because the angle measure mode is associated with the aplet you should start the aplet first and then change the setting 9 Open the Triangle Solver aplet Choose the triangle type Specify the known values 9 2 Open the Triangle Solver aplet Select Triangle Solver The Triangle Solver aplet opens IE LECE Note if you have already used the Triangle Solver the entries and results from the previous use will still be displayed To start the Triangle Solver afresh clear the previous entries and results by pressing CLEAR If the last time you used the Triangle Solver aplet you used the right angled triangle input form that input form is displayed again as in the example at the right If the triangle you are investigating is not a right angled triangle or you are not sure what type it is you should use the general input form illustrated in the previous step To switch to the general input form press HENE If the general input form is displayed and you are investigating a right angled triangle press to display the simpler input form Using the arrow keys move to a field whose value you know enter the value and press BIB or ENTER Repeat for each known value Note that the lengths of the sides are labeled A B and C and the angles ars labeled ill 2 out of amp ugluez B and It is important nter Length oF side that you enter the known values in
150. ft column Press gt to move the cursor to the right column which contain the List functions select a function and press List functions have the following syntax Functions have arguments that are enclosed in parentheses and separated by commas Example 16 6 Lists ALIST Lists CONCAT L1 L2 An argument can be either a list variable name such as L1 or the actual list For example REVERSE 1 2 3 f Decimal Mark in Modes is set to Comma use periods to separate arguments For example CONCAT 11 12 Common operators like x and can take lists as arguments If there are two arguments and both are lists then the lists must have the same length since the calculation pairs the elements If there are two arguments and one is a real number then the calculation pairs the number with each element of the list Example 5 1 2 3 returns 5 10 15 Besides the common operators that can take numbers matrices or lists as arguments there are commands that can only operate on lists Concatenates two lists into a new list CONCAT list 1 list2 Example CONCAT 1 2 3 4 returns 1 2 3 4 Creates a new list composed of the first differences that is the differences between the sequential elements in list1 The new list has one fewer elements than list The first differences for x J are x5 x x x 1 ALIST list 16 7 MAKELIST TILIS
151. ger SETFREO datasetname column or SETFREO definition value SETSAMPLE Sets datasetname sample according to column Datasetname can be 1 5 and column be CO C9 SETSAMPLE datasetname column Stat Two commands DO2VSTATS Calculates STATS using datasetname and stores the results in corresponding variables MeanX XX2 MeanY XY XY2 XXY Corr PCov SCov and RELERR 18 30 Programming Datasetname can be SI S2 or S5 Datasetname must include at least two pairs of data points DO2VSTATS SETDEPEND Sets datasetname dependent column Datasetname can be S1 S2 or S5 and column can be 9 SETDEPEND datasetname column SETINDEP Sets datasetname independent column Datasetname S1 S2 or S5 and column can be 9 SETINDEP datasetname column Storing and retrieving variables in programs The hp 39gs has both Home variables and Aplet variables Home variables are used for real numbers complex numbers graphics lists and matrices Home variables keep the same values in HOME and in aplets Aplet variables are those whose values depend on the current aplet The aplet variables are used in programming to emulate the definitions and settings you make when working with aplets interactively You use the Variable menu VARS to retrieve either Home variables or aplet variables See The VARS menu on page 14 4 Not all variables are a
152. graphing Contains the last value found by the Slope function in the PlotFCN menu Enables you to choose types of 1 variable statistics plot between Histogram Box and Whisker From Plot Setup select Stat Plot then choose Histogram or BoxWhisker or In a program type 1 gt StatPlot for Histogram 2 gt StatPlot for Box and Whisker 18 35 Umin Umax Polar Ustep Polar Tmin Tmax Parametric Tracing All Aplets 18 36 Sets the minimum and maximum independent values Appears as the URNG field in the Plot Setup input form From the Plot Setup input form enter values for URNG or In a program type nib Umin n gt Umax where gt Sets the step size for an independent variable From the Plot Setup input form enter values for USTEP or In a program type Ustep where gt 0 Sets the minimum and maximum independent variable values Appears as the TRNG field in the Plot Setup input form From Plot Setup enter values for TRNG or In a program type n b Tmin n b Tmax where n n Turns the tracing mode on or off in Plot view In a program type 1 Tracing to turn Tracing mode on default 0 gt Tracing to turn Tracing mode off Programming Tstep Parametric Xcross All Aplets Ycross All Aplets Xtick All Aplets Ytick All Aplets Xmin Xmax All Aplets Programming Sets the step size for the independent variable From the
153. gular payment due For an investment this is the cash value of an investment at the end of the investment period Performing TVM calculations 1 12 4 Launch the Financial Solver as indicated at the beginning of this section Use the arrow keys to highlight the different fields and enter the known variables in the TVM calculations pressing the ff soft menu key after entering each known value Be sure that values are entered for at least four of the five TVM variables namely N I YR PV PMT and FY If necessary enter a different value for P YR default value is 12 i e monthly payments Press the key to change the Payment mode Beg or End as required Use the arrow keys to highlight the TVM variable you wish to solve for and press the asma soft menu key Using the Finance Solver Example 1 Loan calculations Using the Finance Solver Suppose you finance the purchase of a car with a 5 year loan at 5 5 annual interest compounded monthly The purchase price of the car is 19 500 and the down payment is 3 000 What are the required monthly payments What is the largest loan you can afford if your maximum monthly payment is 3002 Assume that the payments start at the end of the first period Solution The following cash flow diagram illustrates the loan calculations PV 16 500 FV 0 I YR 5 5 N 5x12 60 P YR 12 End mode 2 59 60 PMT 2 Start the Finance Solver selec
154. h 13 6 variable 18 34 roottinding displaying 7 7 interactive 3 9 operations 3 10 variables 3 10 5 S1mark S5mark variables 18 35 scaling automatic 2 14 decimal 2 10 2 14 integer 2 10 2 14 2 15 options 2 13 resetting 2 13 trigonometric 2 14 scatter plot 10 15 10 17 connected 10 17 10 19 SCHUR decomposition 15 12 scientific number format 1 10 1 20 scrolling in Trace mode 2 8 searching menu lists 1 8 speed searches 1 8 secant 13 20 sending aplets 19 4 lists 16 6 programs 18 8 sequence definition 2 2 sequence variables Axes 18 32 Grid 18 33 in menu map R 10 Indep 18 33 Labels 18 34 Recenter 18 34 Ycross 18 37 serial port connectivity 19 5 setting date 18 28 time 18 28 sign reversal 7 6 sine 13 4 inverse hyperbolic 13 9 singular value decomposition matrix 15 13 singular values matrix 15 13 sketches creating 1 7 5 creating a blank graphic 18 23 creating a set of 17 5 erasing a line 18 20 labeling 17 5 opening view 17 3 sets 17 5 storing in graphics variable 17 5 slope 3 10 soft key labels 1 2 solve error messages initial guesses 7 5 interpreting intermediate guesses interpreting results 7 6 plotting to tind guesses 7 7 setting number End 7 5 solve variables axes 18 32 connect 18 32 fastres 18 32 grid 18 33 in menu map 11 indep 18 33 labels 18 34 recenter 18 34 ycross 18 37 sorting 19 6 aplets in alphabetic order 19 6 I 10 aplets chronological
155. he coordinates of intersection point are displayed at the bottom of the screen I SECT 1 8 MEM Note If there is more than one intersection as in our example the coordinates of the intersection point closest to the current cursor position are displayed 13 Find the slope of the quadratic function at the intersection point The slope value is SLOPE displayed at bottom of the screen 14 To find the area between the two functions in the range 2 lt x lt 1 first move the cursor to 1 1 and select the signed area option START 1 ANCL OOK 3 5 To find the extremum of the quadratic 3 6 18 Display the numerical 15 Move the cursor to x 2 by pressing the or 4 key 16 Press BIB to accept using F2 x x 3 2 as the other boundary for the integral 17 Choose the end value for x The cursor jumps to x on the linear function EN 1 ANCL DE value of the integral Note See Shading area on page 3 11 for another method of 0 00 calculating area 19 Move the cursor to the quadratic equation and find the extremum of the quadratic The coordinates of the exiremum are 3 23 Cb EH displayed at the bottom of the screen Function aplet HINT The Root and Extremum functions return one value only even if the function has more tha
156. he furnishing performance or use of this manual and the examples herein 1994 1995 1999 2000 2003 2006 Hewlett Packard Development Company L P The programs that control your HP 39gs are copyrighted and all rights are reserved Reproduction adaptation or translation of those programs without prior written permission from Hewlett Packard Company is also prohibited Getting started On off cancel operations To turn on To cancel To turn off HOME Protective cover Getting started Press ON fo turn on the calculator When the calculator is on the ON key cancels the current operation Press OFF to turn the calculator off To save power the calculator turns itself off after several minutes of inactivity All stored and displayed information is saved If you see the annunciator or the Low Bat message then the calculator needs fresh batteries HOME is the calculator s home view and is common to all aplets If you want to perform calculations or you want to quit the current activity such as an aplet a program or an editor press All mathematical functions are available in the HOME The name of the current aplet is displayed in the title of the home view The calculator is provided with a slide cover to protect the display and keyboard Remove the cover by grasping both sides of it and pulling down You can reverse the slide cover and slide it onto the back of the calculato
157. he plot Plot setup view Plot type 1VAR Histogram width Histogram range Plotting mark 2VAR Connected points 2VAR 10 18 The Plot Setup view SHiFT SETUP PLOT sets most of the same plotting parameters as it does for the other built in aplets See About the Plot view on page 2 5 Settings unique to the Statistics aplet are as follows STATPLOT enables you to specify either a histogram or a box and whisker plot for one variable statistics when is set Press MIA to change the highlighted setting HWIDTH enables you to specify the width of a histogram bar This determines how many bars will fit in the display as well as how the data is distributed how many values each bar represents HRNG enables you to specify the range of values for a set of histogram bars The range runs from the left edge of the leftmost bar to the right edge of the rightmost bar You can limit the range to exclude any values you suspect are outliers 51 through S5MARK enables you to specify one of five symbols to use to plot each data set Press MITA to change the highlighted setting CONNECT on the second page when checkmarked connects the data points as they are plotted The resulting line is not the regression curve The order of plotting is according to the ascending order of independent values Statistics aplet For instance the data set 1 1 3 9 4 16 2 4 would be plotted and traced in the order 1 1
158. hen zooming in results in 1 4 as many units depicted per pixel see Set Factors Out Multiplies horizontal and vertical scales by the X factor and Y factor see Set Factors X Zoom In Divides horizontal scale only using X factor X Zoom Out Multiplies horizontal scale using X factor 2 9 Option Meaning Continued Y Z00m In Y Zoom Out Square set Factors Auto Scale Decimal Integer TEIG Divides vertical scale only using Y factor Multiplies vertical scale only using Y factor Changes the vertical scale to match the horizontal scale Use this after doing a Box Zoom X Zoom or Y Zoom Sets the X Zoom and Y Zoom factors for zooming in or zooming out Includes option to recenter the plot before zooming Rescales the vertical axis so that the display shows a representative piece of the plot for the supplied x axis settings For Sequence and Statistics aplets autoscaling rescales both axes autoscale process uses the first selected function only to determine the best scale to use Rescales both axes so each pixel 0 1 units Resets default values for XRNG 6 5 to 6 5 and YRNG 3 1 to 3 2 Not in Sequence or Statistics aplets Rescales horizontal axis only making each pixel 1 unit Not available in Sequence or Statistics aplets Rescales horizontal axis so 1 pixel 2 24 radians 7 58 or 8 4 grads rescales verti
159. her web sites created by educators together with accompanying documentation often with student work sheets These can be downloaded free of 1 13 Quad Explorer aplet HINT charge and transferred to the HP 39gs using the provided Connectivity Kit The Quad Explorer aplet is used to investigate the behaviour of y a x h v as the values of a h and v change both by manipulating the equation and seeing the change in the graph and by manipulating the graph and seeing the change in the equation More detailed documentation and an accompanying student work sheet can be found at HP s web site Press select Quad ape opens in mode in which the arrow keys the and keys and the key are used to change the shape of the graph This changing shape is reflected in the equation displayed at the top right corner of the screen while the original graph is retained for comparison In this mode the graph controls the equation i TE It is also possible to have the equation control the graph Pressing ga displays sub expression of your equation FREIEN TA ER EE CES Pressing the gt and 4 key moves between expressions while pressing the and v key changes their values sub expressions s will be explored at once or only one at a time A button is provided to evaluate the student s
160. iables on page R 8 Polar RO to R9 Symbolic view See Polar aplet variables on page R 9 Sequence UO to U9 Symbolic view See Sequence aplet variables on page R 10 Solve EO to E9 Symbolic view See Solve aplet variables on page 11 Statistics CO to C9 Numeric view See Statistics aplet variables on page R 12 1 Open the aplet that contains the variable you want to recall Press to display the VARS menu Use the arrow keys to select a variable category in the left column then press gt to access the variables in the right column 2 3 4 column 5 Use the arrow keys to select a variable in the right To copy the name of the variable onto the edit line is the default setting Variables and memory management 6 copy the value of the ggm EE variable into the edit line press 1813 and Dd 3 2 press _ You use Memory Manager to determine the amount of available memory on the calculator You can also use Memory Manager to organize memory For example if the available memory is low you can use the Memory Manager to determine which aplets or variables consume large amounts of memory You can make deletions to free up memory Example 1 3 Variables and memory management Start the Memory Manager A list of variable c
161. ine Fl EN 0111204 D mm 2 Define F2 x as the derivative of F 1 THA F10 210101 09 3 Select F2 x and evaluate it A FUNCTION SYMEOLIC VIEH SERERE a urs SINC Ke FS ES FUNCTION SYMEOLIC VIEH See WF ICH SSINC AE 2400 amant aati cas EDIT CHE 2HOH EVAL FUNCTION SYMEOLIC VIEH SKRE VF lc SLE PEDIT SHO EVAL Using mathematical functions To find the indefinite integral using formal variables Using mathematical functions the result Note Use Copy the result and Press EERIE to display Fetaecas x exe SIN the arrow keys to view Ihe entire function You could also just define F1 x dx sin x 2cos x For example to find the indefinite integral of x 5dx use 0 51 3x 5 x Enter the function FUNCTION GHET 3 43 O 7 ALPHA 1 3 5 y 150 BEP ALPHA 0 ENTER PCBs Si SAR m2 AODA DADACA 2 an Show the result format 5 a 5B y 5 M2 95 Luk Press to close the show window Ea RADI FUNCTION Si 348P 42 evaluate MT SM E 5 51 42x051 372 zT Thus
162. ing from the top starting with 1 or the number of the column counting from the left starting with 1 The argument matrix can refer to either a vector or a matrix COLNORM Column Norm Finds the maximum value over all columns of the sums of the absolute values of all elements in a column COLNORM matrix 15 10 Matrices COND CROSS DET DOT EIGENVAL EIGENVV IDENMAT INVERSE LQ LSQ Matrices Condition Number Finds the 1 norm column norm of a square matrix COND matrix Cross Product of vector with 2 CROSS vector vector2 Determinant of a square matrix DET matrix Dot Product of two arrays matrix matrix2 DOT matrix 1 matrix2 Displays the eigenvalues in vector form for matrix EIGENVAL matrix Eigenvectors and Eigenvalues for a square matrix Displays a list of two arrays The first contains the eigenvectors and the second contains the eigenvalues EIGENVV matrix Identity matrix Creates a square matrix of dimension size x size whose diagonal elements are 1 and off diagonal elements are zero IDENMAT size Inverts a square matrix real or complex INVERSE matrix LQ Factorization Factors an m x n matrix into three matrices m x n lewertrapezoidal n x n orthogonal m x m permutation Least Squares Displays the minimum norm least squares matrix or vector LSQ matrix 1 matrix2 15 1 LU MA
163. ion resumes when any key is pressed Draws a line from x1 y1 to x2 y2 LINE xl yl x2 y2 Turns off the pixel at the specified coordinates x y PIXOFF Turns on the pixel at the specified coordinates x y PIXON Toggles the pixels along the line from x1 y1 to x2 y2 on and off Any pixel that was turned off is turned on any pixel that was turned on is turned off TLINE can be used to erase a line TLINE xl yl X2 y2 Programming TELINE 020222001 Erases previously drawn 45 degree line from 0 0 to 3 3 or draws that line if it doesn t already exist Graphic commands DISPLAY DISPLAY GROB GROBNOT GROBOR The graphic commands use the graphics variables GO through G9 or the Page variable from Sketch as graphicname arguments The position argument takes the form x y Position coordinates depend on the current aplet s scale which is specified by Xmin Xmax Ymin and Ymax The upper left corner of the target graphic graphic2 is at Xmin Ymax You can capture the current display and store it in GO by simultaneously pressing ON PLOT Stores the current display in graphicname DISPLAY graphicname Displays graphic from graphicname in the display DISPLAY graphicname Creates a graphic from expression using font size and stores the resulting graphic in graphicname Font sizes are 1 2 or 3 If the fontsize argument is O the HP 3995
164. its the highlighted list to another hp 39gs or a PC See Sending and receiving aplets on page 19 4 for further information Receives a list from another hp 39gs or a PC See Sending and receiving aplets on page 19 4 for further information DEL Clears the highlighted list CLEAR Clears all lists or Moves to the end or the beginning of the catalog 16 2 Lists List edit keys Creaie a list in HOME Lists following keys are available to you Key Meaning EDIT Copies the highlighted list item into the edit line LE Inserts a new value before the highlighted item DEL Deletes the highlighted item from the list CLEAR Clears all elements from the list vy or Moves to the end or the beginning of the list 1 Enter the list on the edit line Start and end the list with braces the shifted 8 and 9 keys and separate each element with a comma Press to evaluate and display the list Immediately after typing in the list you can store it in Fags ENTER The list variable names are LO through 19 a variable by pressing EEE This example stores the list 25 147 8 in 11 Note You can omit the final brace when entering a list Coe Se49 53RL1 Leos 147 82 ESTER ee 16 3 Displaying and editing lists To display a list To display one el
165. ize n2 Sample 2 size o1 Population 1 standard deviation Inference aplet 11 9 Field name Definition Continued 02 Population 2 standard deviation Signiticance level Results The results are Result Description Test Z Z Test statistic Prob Probability associated with the Z Test statistic Critical Z Boundary value of Z associated with the a level that you supplied One Proportion Z Test Menu name Z Test 1 On the basis of statistics from a single sample this test measures the strength of the evidence for a selected hypothesis against the null hypothesis The null hypothesis is that the proportion of successes in the two populations is equal 1 2 19 You select one of the following alternative hypotheses against which to test the null hypothesis iT ng H in 7 ng To 11 10 Inference aplet Inputs The inputs are Field name Definition X n TO Number of successes in the sample Sample size Population proportion of successes Significance level Results The results are Result Description Test P Test Z Prob Critical Z Proportion of successes in the sample Z lest statistic Probability associated with the Z Test statistic Boundary value of Z associated with the level you supplied Two Proportion Z Test Menu name Z Test n 22 On the basis of stati
166. l concepts Hewlett Packard s Calculators web site can be found at http www hp com calculators Manual conventions The following conventions are used in this manual to represent the keys that you press and the menu options that you choose to perform the described operations e Key presses are represented as follows SIN 805 HONE elc Shift keys that is the key functions that you access by pressing the key first are represented as follows CLEAR SHIFT MODES SHIFT ACOS etc Numbers and letters are represented normally as follows 5 Z etc e Menu options that is the functions that you select using the menu keys at the top of the keypad are represented as follows Input form fields and choose list items are represented as follows Function Polar Parametric Your entries as they appear on the command line or within input forms are represented as follows 2 X2 3X45 1 Notice P 2 This manual and any examples contained herein are provided as is and are subject to change without notice Except to the extent prohibited by law Hewlett Packard Company makes no express or implied warranty of any kind with regard to this manual and specifically disclaims the implied warranties and conditions of merchantability and fitness for a particular purpose and HewlettPackard Company shall not be liable for any errors or for incidental or consequential damage in connection with t
167. l the number of columns in the matrix You can raise a matrix to any power as long as the power is an integer The following example shows the result of raising matrix 1 created earlier to the power of 5 ALPHA M137 5 ENTER Note You can also raise a 1 5 matrix to a power without L1863 15581 2337 34 first storing it as a variable Matrices can be raised to negative powers In this case the result is equivalent to 1 matrix ABS power In the follewing example M1 is raised to the power of 2 15 7 Matrices divide by a square matrix To invert a matrix To negate each element ALPHA M127 C 2 ENTER 1 2 5 9 2 59 4 1 5 794 1 For division of a matrix or a vector by a square matrix the number of rows of the dividend or the number of elements if it is a vector must equal the number of rows in the divisor This operation is not a mathematical division it is a left multiplication by the inverse of the divisor M1 M2 is equivalent to M27 1 To divide the two matrices M1 and M2 that you created for the previous example press the following keys ALPHA MT 3 mm ES FUMCTIOM 5 x ALPHA M2 sg 197221 48 5011 CES 414 E74 311 You invert a square matrix in HOME by typing the matrix or its variable name and pressing Or you can use the matrix INVERSE command
168. lculator Insert the end of a straightened metal paper clip into the hole as far as it will go Hold it there for 1 second then remove it Press the key 5 Remove the batteries see Batteries page R 4 press and hold the key for 10 seconds and then put the batteries back in Press the key Operating details Batteries R 4 Operating temperature 0 to 45 C 32 to 113 F Storage temperature 20 to 65 C 4 to 149 F Operating and storage humidity 90 relative humidity at 40 C 104 F maximum Avoid getting the calculator wet Battery operates at 6 0V dc 80mA maximum The calculator uses 4 AAA LRO3 batteries as main power and a CR2032 lithium battery for memory backup Before using the calculator please install the batteries according to the following procedure To install the main a Slide up the battery compartment cover as illustrated batteries b Insert 4 new AAA LRO3 batteries into the main compartment Make sure each battery is inserted in the indicated direction To install the a Press down the holder Push the plate to the shown backup battery direction and lift it Plate uA b Insert a new 2032 lithium battery Make sure its positive side is facing up c Replace the plate and push it to the original place
169. lect Box 3 Position the cursor on one corner of the rectangle Press MA 4 Use the cursor keys etc to drag to the opposite corner SELECT CORNER CTI ETE 5 Press to zoom in on the boxed area 200M GOTO EFM 2 12 Aplets and their views To set zoom factors 1 In the Plot view press RHET Press Select Set Factors press BIB OS Enter the zoom factors There is one zoom factor for the horizontal scale 200 and one for the vertical scale Y ZOOM Zooming out multiplies the scale by the factor so that a greater scale distance appears on the screen Zooming in divides the scale by the factor so that a shorter scale distance appears on the screen Other views for scaling and splitting the graph The preset viewing options menu VIEWS contains options for drawing the plot using certain pre defined contigurations This is a shortcut for changing Plot view settings For instance if you have defined a trigonometric function then you could select Trig to plot your function on a trigonometric scale It also contains split screen options In certain aplets for example those that you download from the world wide web the preset viewing options menu can also contain options that relate to the aplet VIEWS menu Press VIEWS select an option and press options Option Meaning Plot Splits the
170. lett Packard s Calculators web site can be found at http ww w hp com calculators Sending and receiving aplets 19 4 A convenient way to distribute or share problems in class and to turn in homework is to transmit copy aplets directly from one HP 3995 to another This can take place via the infrared port or via a suitable cable You can use a serial cable with a 4 pin mini USB connector which plugs into the 5232 port on the calculator The serial cable is available as a separate accessory You can also send aplets to and receive aplets from a PC This requires special software running on the PC such as the PC Connectivity Kit A USB cable with a 5 pin mini USB connector is provided with the hp39gs for connecting with a PC It plugs into the USB port on the calculator Extending aplets To transmit an aplet Extending aplets 1 Connect the PC or aplet disk drive to the calculator by cable or align the two calculators infrared ports by matching up the triangle marks on the rims of the calculators Place the calculators no more than 4 inches 10 cm apart 2 Sending calculator Open the Library highlight the aplet to send and press The senp ro menu appears with the following options HP39G IRDA to send via high speed infrared HP39 40 USB to send via the USB port HP39 40 SER to send via the RS232 serial port USB DISK DRIVE to send to a disk drive via the USB port SER DISK DR
171. line of the display shows the labels for the menu keys current meanings Aplet control keys The aplet control keys are A ey Meaning un lt g PLOT NUM 3 E lt gt Displays the Symbolic view for the current aplet See Symbolic view on page 1 16 Displays the Plot view for the current aplet See Plot view on page 1 16 Displays the Numeric view for the current aplet See Numeric view on page 1 17 Displays the HOME view See HOME on page 1 1 Displays the Aplet Library menu See Aplet library on page 1 16 Displays the VIEWS menu See Aplet views on page 1 16 Getting started Entry Edit keys The entry and edit keys are Key Meaning ON CANCEL Cancels the current operation if the calculator is on by pressing ON Pressing SHIFT then OFF turns the calculator off SHIFT Accesses the function printed in blue above a key Returns to the HOME view for performing calculations Accesses the alphabetical ALPHA characters printed orange below a key Hold down to enter a string of characters Enters an input or executes an ENTER operation In calculations acts like When HE or ERE is present as a menu key acts the same as pressing prs or Enters a negative number enter 25 press 25 Note this is not the same operation that the subtract button performs
172. ll characters To type one highlight it and press Bis To enter several characters in a row CHARS menu Programming Using programs Run a program Debug a program Stop a program Programming From HOME type RUN program or From the Program catalog highlight the program you want to run and press Regardless of where yov start the program all programs run in HOME What you see will differ slightly depending on where you started the program If you start the program from HOME the HP 39gs displays the contents of Ans Home variable containing the last result when the program has finished If you start the program from the Program catalog the hp39gs returns you to the Program catalog when the program ends If you run a program that contains errors the program will stop and you will see an error message amp Invalid Sunt ax Edit program To debug the program 1 Press 9 to edit the program The insert cursor appears in the program at the point where the error occurred 2 Edit the program to fix the error 3 Run the program 4 Repeat the process until you correct all errors You can stop the running of a program at any time by pressing CANCEL the key Note You may have to press it a couple of times 18 7 Copy a program You can use the following procedure if you want to make a copy of your work before editing or if you want to use one program as
173. ly the constants vector by the inverse of the coefficients matrix ALPHA M2 SHIFT x xj ALPHA 1 result is vector of the solutions x 2 y and z 2 PRAD FUNCTION 1 1 x1 3 3 7 21 An alternative method is to use the RREF function See RREF on page 15 12 15 9 Matrix functions and commands About functions Functions can be used in any aplet or in HOME They are listed in the MATH menu under the Matrix category They can be used in mathematical expressions primarily in well as in programs Functions always produce and display a result They do not change any stored variables such as a matrix variable Functions have arguments that are enclosed in parentheses and separated by commas for example CROSS vector 1 vector2 The matrix input can be either a matrix variable name such as M1 or the actual matrix data inside brackets For example 121 274 About commands Matrix commands are listed in the CMDS menu SHIFT CMDs in the matrix category See Matrix commands on page 18 24 for details of the matrix commands available for use in programming Functions differ from commands in that a function can be used in an expression Commands cannot be used in an expression Argument conventions Matrix functions For row or column supply the number of the row count
174. m factor From Plot ZOOM Set Factors enter the value for YZOOM or In a program type n b YZOOM The default value is 4 Programming Symbolic view variables Angle All Aplets F1 F9 FO Function X1 9 9 X0 YO Parametric 9 RO Polar U1 U9 UO Sequence E1 E9 EO Solve Programming Sets the angle mode From Symbolic Setup choose Degrees Radians or Grads for angle measure or In a program type 1 Angle for Degrees 2 Angle for Radians 3 gt Angle for Grads Can contain any expression Independent variable is X Example SIN X b You must put single quotes around an expression to keep it from being evaluated before it is stored Use SHIFT CHARS to type the single quote mark Can contain any expression Independent variable is T Example SIN 4 T gt Y1 T 2 SIN 6 T X1 T Can contain any expression Independent variable is 0 Example 2 SIN 2 0 gt Can contain any expression Independent variable is N Example RECURSE U U N 1 N 1 2 P Ul N Can contain any equation or expression Independent variable is selected by highlighting it in Numeric View Example UOXCHY X 25Y gt El 18 39 S1fit S5fit Statistics 18 40 Sets the type of fit to be used by the FIT operation in drawing the regression line From Symbolic Setup view specify the fit in the field for STFIT S2FIT etc or
175. maining balance after this set of payments have been amortized Example 3 Amortization for home mortgage For the data of Example 2 above find the amortization of the loan after the first 10 years 12x10 120 payments Pressing the soft menu key produces the screen to the left Enter 120 in the PAYMENTS field and press the ERIA soft menu key to produce the results shown to the right SS RA aMDETIZE ZONES SR ee AMORTICE IE A PAYMENTS PAYMEHTS 128 PRIMCIPRL PRIMCIPAL ENTER OF PAYMENTS TO To continue amortizing the loan 1 Press the soft menu key to store the new balance after the previous amortization as PV 2 Enter the number of payments to amortize in the new batch Using the Finance Solver 12 7 3 Press the ERIA soft menu key to amortize the new batch of payments Repeat steps 1 through 3 as often as needed Example 4 Amortization for home mortgage For the results of Example 3 show the amortization of the next 10 years of the mortgage loan First press the pESIS soft menu key Then keeping 120 in the PAYMENTS field press the ERIA soft menu key to produce the results shown below See comin AMORTIZE 222205525 PAYMENTS 128 PRIMCIPAL INTEREST r6 165 98 BALANCE 535 497 92 TYM EFPY AMOR To amortize a se
176. mmand line and press the calculator retrieves the values for A and B from memory and substitutes them in the calculation To perform symbolic calculations for example symbolic ditferentiations and integrations you need to use formal names The HP 39gs has six formal names available for use in symbolic calculations These are SO to S5 When you perform a calculation that contains a formal name the HP 39gs does not carry out any substitutions You can mix formal names and real variables Evaluating A B S1 will evaluate A B but not 51 If you need to evaluate an expression that contains formal names numerically you use the where command listed in the Math menu under the Symbolic category For example to evaluate S1 S2 when S 2 and 52 4 you would enter the calculation as follows Using mathematical functions 52 4 64 EBENEN symbol is in the CHARS menu press CHARS The sign is listed in the MATH menu under Symbolic functions Symbolic You can perform symbolic operations in the Function calculations in 6 5 Symbolic view For example to find the derivative the Function of a function in the Function aplet s Symbolic view you define two functions and define the second function as a derivative of the first function You then evaluate the second function See To find derivatives in the Function aplet s Symbolic view
177. n one root or extremum The function finds the value closest to the position of the cursor You need to re locate the cursor to find other roots or extrema that may exist Display the 20 Display the numeric view numeric view Set up the table 21 Disploy the numeric setup SHIFT SETUP NUM FUNCTION NUMERIC SETUP 888 HUHSTART MUMSTEP 1 MUMTYPE Automatic HUMZOOM 4 ENTER STARTING VALUE FOR THELE 2 See Setting up the table Numeric view setup page 2 16 for more information 22 Match the table settings to the pixel columns in the graph view FUNCTION NUMERIC SETUP MUM START MUMSTEP Automatic HUMZO0H 4 ENTER gt TARTING VALUE FOR TABLE EDIT PLOTE Explore the 23 Display the table of values table NUM Function aplet 3 7 To navigate around 24 Move to X 5 9 tabl v 6 times To go directly to a 25 Move directly to X 10 value 108m To access the zoom 26 7 on X 10 by a factor of 4 Note NUMZOOM options has a setting of 4 To change font size 27 Display table numbers in large font To display the symbolic definition of a column The symbolic definition of F1 is displayed at the bottom of the screen 3 8 Function aplet Function aplet interactive analysis
178. n the Plot Setup view If you find histogram bars too fat or too thin you can adjust them by adjusting the HWIDTH setting 4 Press PLOT If you have not adjusted the Plot Setup yourself you can try select Auto Scale Auto Scale be relied upon to give a good starting scale which can then be adjusted in the Plot Setup view One variable statistics The numbers below the plot mean that the current bar where the cursor is starts at O and ends at 2 not TREES eee including 2 and the frequency for this column that is the number of data elements that fall between O and 2 is 1 You can see information about the next bar by pressing the gt key minimum data value The box marks the first quartile the median where the cursor 14 MERI is and the third quartile The right whisker marks the maximum data value The numbers below the plot mean that this column has a median of 13 One variable statistics The left whisker marks the Statistics aplet Scatter Plot Two variable statistics The numbers below the plot indicate that the cursor is at the first data point for S2 at 1 6 Press to move to the next data point and display information about it To connect the data points as they are plotted checkmark CONNECT in the second page of the Plot Setup This is not a regression curve Fitting a curve to 2VAR data In th
179. nagement To recall a value To use variables in calculations To clear a variable 5 Enter a name for the variable ENS ne eb 3 A 3alrrbkH 6 Press to store the result The results of a calculation can also be stored directly to a variable For example 2 7 0 5 3 D PARADI FUNCTION EEES ALPHA B TEET 3 17458216394 To recall variable s value type the name of the variable and press ENTER ALPHA A FUNCTION S317 zT You can use variables in calculations The calculator substitutes the variable s value in the calculation 65 ALPHA A ETT FUNCTION 62 A 331541 You can use the CLRVAR command to clear a specitied variable For example if you have stored 1 2 3 4 in variable L1 entering CLRVAR L1 will clear L1 You can find the cLrvar command by pressing and choosing the prompt category of commands Empty List Variables and memory management 14 3 The VARS menu You use the VARS menu to access all variables in the calculator The VARS menu is organised by category For each variable category in the left column there is a list of variables in the right column You select a variable category and then select a variable in the category 1 Open the VARS menu 2 Use the arrow keys or press the alpha key of the fi
180. nce aplet Inputs Results Inference aplet The inputs are Field name Definition X SX n u0 The results are Sample mean Sample standard deviation Sample size Hypothetical population mean Significance level Result Description Test T T Test statistic Prob Probability associated with the T Test statistic Critical T Boundary value of T associated with the a level that you supplied Boundary value of x required by the a value that you supplied 11 13 Two Sample T Test Menu name Inputs 11 14 T Test ul u2 The Two sample T Test is used when the population standard deviation is not known On the basis of statistics from two samples each sample from a different population this test measures the strength of the evidence tor a selected hypothesis against the null hypothesis The null hypothesis is that the two populations means are equal Ho You select one of the following alternative hypotheses against which to test the null hypothesis lt Hy Hy gt My H u 7 t The inputs are Field Definition name zi Sample 1 mean xo Sample 2 mean S1 Sample 1 standard deviation 52 Sample 2 standard deviation n1 Sample 1 size n2 Sample 2 size Significance level Pooled Check this option to pool samples based on their standard deviations Inference aplet Results The results are
181. nction Parametric Polar and Sequence aplets The other views are derived from the symbolic expression You can create up to 10 different definitions for each Function Parametric Polar and Sequence aplet You can graph any of the relations in the same aplet simultaneously by selecting them Defining an expression Symbolic view Choose the aplet from the Aplet Library APLET tion Press A or v to Inference select an aplet Sequence LEANE SEND START The Function Parametric Polar and Sequence aplets start in the Symbolic view If the highlight is on an existing expression scroll to an empty line unless you don t mind writing over the expression or clear one line DEL or all lines 5 CLEAR Expressions are selected check marked on entry deselect an expression press All selected expressions are plotted Aplets and their views 2 1 2 2 For a Function definition enter an expression to define F X The only independent variable in the expression is X For a Parametric definition enter a pair of expressions to define X T and Y T The only 22552550 FUNCTION SYRMEOLIC Im Fatwa COAL PARAMETRIC SYMEDLIC YicTi EDIT CHE T HOH EVAL independent variable in the expressio
182. nctions common to keyboard and menus 13 2 These functions are common to the keyboard and MATH menu SHIFT ARG d dx AND For a description see on page 13 8 For a description see ARG on page 13 7 For a description see 0 on page 1 1 7 For a description see AND on page 13 19 Using mathematical functions For a description see COMB 5 2 returns 10 That is there are ten different ways that five things can be combined two at a time on page 13 12 SHIFT For a description see X on page 13 11 SHIFT EEX For a description see Scientific notation powers of 10 on page 1 20 J For a description see on page 1 7 The multiplicative inverse function finds the inverse of a square matrix and the multiplicative inverse of a real or complex number Also works on a list containing only these object types Keyboard functions C069 sire Using mathematical functions The most frequently used functions are available directly from the keyboard Many of the keyboard functions also accept complex numbers as arguments Add Subtract Multiply Divide Also accepts complex numbers lists and matrices value 1 value2 etc Natural exponential Also accepts complex numbers e value Example e b returns 148 413159103 Natural logarithm Also accepts complex numbers LN value Example LN 1 returns 0 13
183. nder the current aplet name such as Function To create additional aplets of the same type you must give the current aplet a new name The advantage of storing an aplet is to allow you to keep a copy of a working environment for later use The aplet library is where you go to manage your aplets Press APLET Highlight using the arrow keys the name of the aplet you want to act on In the aplet library press Select the sorting scheme and press ENTER e Chronologically produces a chronological order based on the date an aplet was last used The last used aplet appears first and so on Alphabetically produces an alphabetical order by aplet name You cannot delete a built in aplet You can only clear its data and reset its default settings To delete a customized aplet open the aplet library highlight aplet to be deleted and press DEL To delete all custom aplets press CLEAR Extending aplets Reference information Glossary aplet A small application limited to one topic The built in aplet types are Function Parametric Polar Sequence Solve Statistics Inference Finance Trig Explorer Quad Explorer Linear Solver and Triangle Solve An aplet can be filled with the data and solutions for a specitic problem It is reusable like a program but easier to use and it records all your settings and definitions command An operation for use in programs Commands can store results in vari
184. ne 1 2 editing matrices 15 4 notes 17 2 programs 18 5 Editline Program catalog 18 2 editors 1 30 eigenvalues 15 11 eigenvectors 15 11 element storing 15 6 E lessons 1 12 engineering number format 1 11 equals for equations 13 17 logical test 13 19 equations solving 7 1 erasing a line in Sketch view 18 20 error messages bad guesses 7 7 constant 7 7 exclusive OR 13 19 exiting views 1 19 exponent tit 10 13 minus 1 13 10 of value 13 17 raising to 13 5 expression defining 2 1 R 1 entering in HOME 1 19 evaluating in aplets 2 3 literal 13 18 plot 3 3 extremum 3 10 F factorial 13 12 FastRes variable 18 32 fit a curve to 2VAR data 10 17 choosing 10 12 defining your own 10 13 fixed number format 1 10 font size change 3 8 17 5 forecasting 10 20 fraction number format 1 11 ful precision display 1 10 function analyze graph with FCN tools 3 4 definition 2 2 R 1 entering 1 19 gamma 13 12 intersection point 3 5 math menu R 13 slope 3 5 syntax 13 2 tracing 2 8 Function aplet 2 20 3 1 function variables area 18 32 axes 18 32 connect 18 32 fastres 18 32 grid 18 33 in menu map indep 18 33 isect 18 34 labels 18 34 Recenter 18 34 root 18 34 ycross 18 37 G glossary R 1 graph analyzing statistical data in 10 19 auto scale 2 14 box and whisker 10 16 capture current display 18 21 cobweb 6 1 comparing 2 5 connected points 10 17 defining the independent variable 18 36 drawing ax
185. nequal and z In this section we will use the example data for the Z Test on mean to illustrate how the aplet works and what features the various views present Inference aplet Select the inferential method Enter data Inference aplet 2 Select the Hypothesis Test inferential method STAT SYMBOLIC VIEH lect HYPOTH TEST HETH Selec TEST CONF INTERVAL PEE ALT gn ainrerentig nethed Define the type test n METH 2 ALT Chid L DE 4 Select an alternative hypothesis Se IMF STAT SYMBOLIC I METHOD HYPOTH TEST 2 z 1 u lt uo HLT mE Chasse alternative hypothesis 5 Enter the sample statistics and population parameters setup NUM STAT MUMERIC SETUP 2200 38 a Zoor JAS SOHple neun EDIT HELP IFHPRT The table below lists the fields in this view for our current Z Test 1 example Field Definition name u0 Assumed population mean Population standard deviation x Sample mean n Sample size Alpha level for the test Display on line help Display test results in numeric format Plot test results 9 To displ
186. ng compresses the axes so that each pixel is 1x 1 and the origin is near the screen center Use trigonometric scaling whenever you are plotting an expression that includes trigonometric functions Trigonometric plots are more likely to intersect the axis at points factored by 2 15 About the numeric view Atter entering and selecting check marking the expression or expressions that you want to explore in the Symbolic view press NUM to view a table of data values for the independent variable X T 8 or N and dependent variables Press 5 NUM to define any of the table settings Use the Numeric Setup input form to configure the table Setting up the table Numeric view setup XEEESEFUMCTIUM MUMERIC SETUP Ss MUMS TART MUMSTEP MUMTYPE Automatic MUMZO0M 4 ENTER gt TARTING VALUE FOR TABLE EDIT PLOTE 1 Highlight the field to edit Use the arrow keys to move from field to field If there is a number to enter type it in and press or To modify an existing number press Ella If there is an option to choose press highlight your choice and press or Big Shortcut Press the key to copy values from the Plot Setup into NUMSTART and NUMSTEP Effectively the menu key allows you to make the table match the pixel columns in the graph view 2 When done press NUM to view the table of numbers 2 16 Aplets and their views Numeric vie
187. note is transferred with the aplet if it is sent to another calculator or to a PC A note view contains text to supplement an aplet Press NOTE to display the aplet s note view FUNCTION MOTE ASSIGHMEMT 5 DUE 4 64 See Notes and sketches on page 17 1 for further information Sketch view Displays pictures to supplement an aplet See Notes and sketches on page 17 1 for further information Aplet view configuration Press SKETCH to display the aplet s sketch view 27 AND D ld VN B E AHD You use the SETUP keys 5 PLOT and NUM to configure the aplet For example press SETUP PLOT SHIFT PLOT to display the input form for setting the aplet s plot settings Angle measure is controlled using the MODES view Plot Setup Press SETUP PLOT Sets parameters to plot a graph Numeric Setup Press SETUP NUM Sets parameters for building a table of numeric values Symbolic Setup This view is only available in the Statistics aplet in EERE mode where it plays an important role in choosing data models Press SHIFT SETUP SYMB 1 18 FUMCTIOM PLOT SETUP 6 5 Po 4 a STICK 1 TICK 1 Faster MINIMUM HORIZONTAL VALUE PAGE Se EUMCTIOM NUMERIC SETUP MUMS TART MUMSTEP 41 HUMTYPE Automatic 4 TARTIMN
188. ns is T For a Polar definition enter an expression to define R 0 The only independent variable in the expression is 0 For a Sequence definition either enter the first term or the first and second terms for U or U9 or UO Then define POLAR Rech j Roch gt R408 gt RICA EDIT DTE SEQUENCE SYMEOLIC 2 25 EDIT Wt CHE the nth term of the sequence in terms of N or of the prior terms U N 1 and or U N 2 The expressions should produce real valued sequences with integer domains Or define the nth term as a non recursive expression in terms of n only In this case the calculator inserts the first two terms based on the expression that you define Note You will have to enter the second term if the hp39gs is unable to calculate it automatically Typically if Ux N depends on Ux N 2 then you must enter Ux 2 Aplets and their views Evaluating expressions In aplets Aplets and their views In the Symbolic view a variable is a symbol only and does not represent one specific value To evaluate a function in Symbolic view press 119 If a function calls another function then resolves all references to other functions in terms of their independent variable 1 Choose the Function aplet Select Function
189. nt function nearest the cursor This displays the coordinate values and moves the cursor to the extremum The resulting value is saved in a variable named EXTREMUM Slope Select Slope to find the numeric derivative at the current position of the cursor The result is saved in a variable named SLOPE Signed area Select Signed area to find the numeric integral If there are two or more expressions checkmarked then you will be asked to choose the second expression from a list that includes the x axis Select a starting point then move the cursor to selection ending point The result is saved in a variable named AREA 3 10 Function aplet Shading area Function aplet Function Description Continued Intersection Select Intersection to find the intersection of two graphs nearest the cursor You need to have at least two selected expressions in Symbolic view Displays the coordinate values and moves the cursor to the intersection Uses Solve function The resulting x value is saved in a variable named ISECT You can shade a selected area between functions This process also gives you an approximate measurement of the area shaded l Open the Function aplet The Function aplet opens in the Symbolic view Select the expressions whose curves you want to study Press to plot the functions Press 4 or to position the cursor at the starting point of the area you want to
190. nterval 11 17 One Sample Z Interval 11 15 One Sample Z Test 11 8 Two Proportion Z Interval 11 17 Two Proportion Z Test 11 11 Two Sample T Interval 11 19 Two Sample Z Interval 11 16 infinite result R 18 infrared transmission of aplets 19 5 initial guess 7 5 input forms resetting default values 1 9 setting Modes 1 11 insufficient memory R 18 insufficient statistics data R 18 integer rank matrix 15 12 integer scaling 2 14 2 15 integral definite 13 6 indefinite 13 23 integration 13 6 interpreting intermediate guesses 7 7 intersection 3 11 invalid dimension R 18 statistics data R 18 syntax R 19 inverse hyperbolic cosine 13 9 inverse hyperbolic functions 13 10 inverse hyperbolic sine 13 9 inverse hyperbolic tangent 13 9 inverting matrices 15 8 isect variable 18 34 K keyboard editing keys 1 5 entry keys 1 5 inactive keys 1 8 list keys 16 2 math functions 1 7 menu keys 1 4 Notepad keys 17 8 shifted keystrokes 1 6 L labeling axes 2 parts of a sketch 17 5 letters typing 1 6 library managing aplets in 19 6 linear fit 10 13 Linear Solver aplet 8 1 list arithmetic with 16 7 calculate sequence of elements 16 8 calculating product of 16 8 composed from differences 16 7 concatenating 16 7 counting elements in 16 9 creating 16 1 16 3 16 4 16 5 deleting 16 6 deleting list items 16 3 displaying 16 4 displaying list elements 16 4 editing 16 3 finding statistical values in list ele ments 16 9 gener
191. nts in a list SIZE list Also works with matrices XLIST Calculates the sum of all elements in list EELIST list Example YXLIST 2 3 4 returns 9 SORT Sorts elements in ascending order SORT list Finding statistical values for list elements To find values such as the mean median maximum and minimum values of the elements in a list use the Statistics aplet Example In this example use the Statistics aplet to find the mean median maximum and minimum values of the elements in the list 11 1 Create L1 with values 88 90 89 65 70 and 89 ALPHA L1 Lists 16 9 16 10 9B 39 52 o8 323 524 70 593 In HOME store L1 into You will then be able to see the list data in the Numeric view of the Statistics aplet STATISTICS HE ALPHA 11 ee SO ODORE tao 28 830 65 70 893 88 29 62 PH S94 TOF Start the Statistics aplet and select 1 variable mode Fria if necessary to display 2 23 EDIT IHS Ela Note Your list values are now in column 1 C1 In the Symbolic view define H1 for example as C1 sample and 1 frequency VEH Hz EM H3 H4 i ENTER SAMPLE EDIT w CHE Ed Go to the Numeric view to display calculated statistics See One variable on page 10 14 for the meaning of each computed stati
192. numbers Using previous results 1 22 Functions within an expression are evaluated the following order of precedence Functions with the same precedence are evaluated in order from left to right 1 Expressions within parentheses Nested parentheses are evaluated from inner to outer 2 Prefix functions such as SIN and LOG 3 Postfix functions such as 4 Power function NTHROOT 5 Negation multiplication and division 6 Addition and subtraction 7 AND and NOT 8 OR and XOR 9 Left argument of where O Equals The smallest number the HP 39gs can represent is 1 x 10 477 1 E 499 A smaller result is displayed as zero The largest number is 9 99999999999 x 1047 1E499 A greater result is displayed as this number e DEL clears the character under the cursor When the cursor is positioned after the last character DEL deletes the character to the left of the cursor that is it performs the same as a backspace key e CANCEL ON clears the edit line CLEAR clears all input and output in the display including the display history The HOME display HOME shows you four lines of input output history An unlimited except by memory number of previous lines can be displayed by scrolling You can retrieve and reuse any of these values or expressions FUNCTION 6 Output Last input T2 go Last output Edit line Ez74
193. oefficients Example For 4 2 3 25 2 26 120 POLYROOT 1 2 25 26 120 returns cee 8 The results of POLYROOT will often not be easily seen in HOME due to the number of decimal places especially if they are complex numbers It is better to store the results of POLYROOT to a matrix For example POLYROOT 1 0 0 8 1 will store the three complex cube roots of 8 to matrix M1 as a complex vector Then you can see them easily by going to the Matrix Catalog and access them individually in calculations by referring to M1 1 M1 2 etc Probability functions COMB PERM 13 12 Number of combinations without regard to order of n things taken rata time n r n r COMB n Example COMB 5 2 returns 10 That is there are ten different ways that five things can be combined two at a time Factorial of a positive integer For non integers 1 This calculates the gamma function value Number of permutations with regard to order of n things taken rata time n r n r PERM r Example PERM 5 2 returns 20 That is there are 20 different permutations of five things taken two at a time Using mathematical functions RANDOM HINT UTPC UTPF UTPN UTPT Random number between zero and 1 Produced by a pseudo random number sequence The algorithm used in the RANDOM function uses a seed number to begin its sequence To ensure that two calculators must produce
194. on outside of the published environmental specifications for the product or e improper site preparation or maintenance 6 HP MAKES OTHER EXPRESS WARRANTY OR CONDITION WHETHER WRITTEN OR ORAL TO THE EXTENT ALLOWED BY LOCAL LAW ANY IMPLIED WARRANTY OR CONDITION OF MERCHANTABILITY SATISFACTORY QUALITY OR FITNESS FOR A PARTICULAR PURPOSE IS LIMITED TO THE DURATION OF THE EXPRESS WARRANTY SET FORTH ABOVE Some countries states or provinces do not allow limitations on the duration of an implied warranty so the above limitation or exclusion might not apply to you This warranty gives you specific legal rights and you might also have other rights that vary from country to country state to state or province to province 7 TO THE EXTENT ALLOWED BY LOCAL LAW THE REMEDIES IN THIS WARRANTY STATEMENT ARE YOUR SOLE AND EXCLUSIVE REMEDIES EXCEPT AS INDICATED ABOVE IN NO EVENT WILL HP OR ITS SUPPLIERS BE LIABLE FOR LOSS OF DATA OR FOR DIRECT SPECIAL INCIDENTAL CONSEQUENTIAL INCLUDING LOST PROFIT OR DATA OR OTHER DAMAGE WHETHER BASED IN CONTRACT TORT OR OTHERWISE Some countries States or provinces do not allow the exclusion or limitation of incidental or consequential damages so the above limitation or exclusion may not apply to you 8 The only warranties for HP products and services are set forth in the express warranty statements accompanying such products and services HP shall not be liable for technical or editorial e
195. ons lA 13 18 Solves quadratic expression 0 for variable and returns a new expression where variable newexpression The result is a general solution that represents both positive and negative solutions by including the formal variable S1 to represent any sign or QUAD expression variable Example QUAD X 1 7 X returns 29 5185 29150562213 72 Encloses an expression that should not be evaluated numerically QUOTE expression Examples QUOTE SIN 45 F1 X stores the expression SIN 45 rather than the value of SIN 45 Another method is to enclose the expression in single quotes For example X 3 2 X F1 X puts the expression X 3 2 X into F1 X in the Function aplet Evaluates expression where each given variable is set to the given value Defines numeric evaluation of a symbolic expression expression variable 1 value 1 variable2 value2 Example 3 X 1 X 3 returns 12 The test functions are logical operators that always return either a 1 true or a false Less than Returns 1 if true O if false value 1 value2 Less than or equal to Returns 1 if true O if false value 1x value2 Using mathematical functions IV AND IFTE NOT OR XOR Equals logical test Returns 1 if true O if false value 1 value2 Not equal to Returns 1 if true O if false value 1z value2 Greater than Returns 1 if true O if false value 1 gt value2 Gr
196. order 19 6 elements in list 16 9 spectral norm 15 13 spectral radius 15 13 square root 13 5 stack history printing 18 26 stairsteps graph 6 1 standard number format 1 10 statistics analysis 10 1 analyzing plots 10 19 angle mode 10 12 calculate one variable 18 30 calculate two variable 18 30 data set variables 18 41 data structure 18 41 define one variable sample 18 30 define two variable data set s de pendent column 18 31 define two variable data set s in dependent column 18 31 defining a fit 10 12 defining a regression model 10 12 deleting data 10 11 editing data 10 10 frequency 18 30 inserting data 10 11 plot type 10 18 plotting data 10 15 predicted values 10 20 regression curve fit models 10 12 saving data 10 10 sorting data 10 11 specitying angle setting 10 12 toggling between one variable and two variable 10 12 tracing plots 10 19 troubleshooting with plots 10 19 Zooming in plots 10 19 statistics variables Axes 18 32 Connect 18 32 Grid 18 33 Hmin Hmax 18 33 Hwidth 18 33 in menu map R 12 Indep 18 33 Labels 18 34 Recenter 18 34 51 mark S5mark 18 35 Ycross 18 37 step size of independent variable 18 37 storing list elements 16 1 16 4 16 5 16 6 matrix elements 15 3 15 5 15 6 results of calculation 14 2 value 14 2 strings literal in symbolic operations 13 18 subtract 13 3 summation function 13 11 symbolic calculations in Function aplet 13 21 defining expressions 2 1 differentiation 13 21
197. plet and save it as EXPERIMENT The new aplet appears in the Aplet library Select Function Create a program called EXP MET with contents as shown This program configures the plot ranges then runs a program that allows APLET LIERARY Function Inference Parametric Polar TS Ea 1 PROGRAM lunbzmin nbzma cR iim ema RUM TEMP ANG ETUR PACE you to set the angle format Create a program called EXP ME2 with contents as shown This program sets the numeric view options for the aplet and runs EXP ME2 PROGRAM art 2 ualu et FUH TEMP STO SPACE 1 EKSP the program that you can use to configure the angle mode Create a program called which the previous two programs call Create a program called EXP S which runs when you start the aplet as shown This program sets the angle mode to degrees and ES EHP HMG PROGRAM um Ci ANGLE Degrees em Grads i4 LHnale sets up the initial function that the aplet plots In this section we will begin by configuring the VIEWS menu by using the SETVIEWS command We will then create the helper programs called by the VIEWS menu which will do the actual work 18 11 6 Open the Program catalog and cr
198. preting results 7 6 After Solve has returned a solution press 187 in the Numeric view for more information You will see one of the following three messages Press to clear the message Message Condition Zero The Solve aplet found a point where both sides of the equation were equal or where the expression was zero a root within the calculator s 12 digit accuracy Sign Reversal Solve found two points where the difference between the two sides of the equation has opposite signs but it cannot find a point in between where the value is zero Similarly for an expression where the value of the expression has different signs but is not precisely zero This might be because either the two points are neighbours they differ by one in the twelfth digit or the equation is not real valued between the two points Solve returns the point where the value or difference is closer to zero If the equation or expression is continuously real this point is Solve s best approximation of an actual solution Extremum Solve found a point where the value of the expression approximates a local minimum for positive values or maximum for negative values This point may or may not bea solution Or Solve stopped searching at 9 99999999999E499 the largest number the calculator can represent Note that the value returned is probably not valid Solve aplet Root Finder at work If Solve
199. product complies with the following EU Directives low Voltage Directive 73 23 EEC e EMC Directive 89 336 EEC Compliance with these directives implies conformity to applicable harmonized European standards European Norms which are listed on the EU Declaration of Conformity issued by Hewlett Packard for this product or product family This compliance is indicated by the following conformity marking placed on the product CE cox This marking is valid for non Tele This marking is valid for EU com prodcts and EU harmonized non harmonized Telecom products Telecom products e g Bluetooth Notified body number used only if applicable refer to the product label ARUBZES ERIS BEAMS VCCI 281 89 lt TOH elk RERIRCHRATSZCEABMELTHIETAY CO 727 a CHA SNDE BY Y dR SAAS IX lt ESL Korean Notice Disposal of Waste Equipment by Users in Private Household in the European Union 0 2171 MANIA Ft 7 7 A FHAA E SE PEMA ASS ASCH This symbol on the product or on its packaging indicates that this product must not be disposed of with your other household waste Instead it is your responsibility to dispose of your waste equipment by handing it over to a designated collection point for the recycling of waste electrical and electronic equipment The separate collection and recycling of your wast
200. ption and press Moves to the first or last row or first cursor key or last column Example You are measuring the height of students in a classroom to find the mean height The first five students have the following measurements 160cm 165cm 170cm 175cm 180cm 1 Open the Statistics aplet Select Statistics AA EE 2 Enter the measurement data 160 165 170 ENTER 175 180 3 Find the mean of the sample Ensure the EMG menu key label reads Press statistics calculated from the sample data in C1 Statistics aplet 10 7 10 8 Note that the title of the column of statistics is H1 There are 5 data set definitions available for one variable statistics H1 H5 If data is entered in C1 H1 is automatically set to use C1 for data and the frequency of each data point is set to 1 You can select other columns of data from the Statistics Symbolic setup view Press BIB to close the STATISTICS SYMEDLIC VIEH SER statistics window and see Ci 55 key to see ize 7 the data set definitions ENTER SAMPLE EDIT w CHE c ET The first column indicates the associated column of data for each data set definition and the second column indicates the constant frequency or the column that holds the frequencies The keys you can use from this window are Copies the column va
201. r this will help prevent you losing the cover while you are using the calculator To prolong the life of the calculator always place the cover over the display and keyboard when you are not using the calculator The display To adjust the contrast To clear the display Parts of the display NOTE Simultaneously press ON and or to increase or decrease the contrast e Press CANCEL to clear the edit line e Press CLEAR to clear the edit line and the display history SARAD FX Title oes History m EE Edit line 199 ET Menu key labels Menu key or soft key labels The labels for the menu keys current meanings is the label for the first menu key in this picture Press means to press first menu key that is the leftmost top row key on the calculator keyboard Edit line The line of current entry History The HOME display HOMEJ shows up to four lines of history the most recent input and output Older lines scroll off the top of the display but are retained in memory Title The name of the current aplet is displayed at the top of the HOME view RAD GRD DEG specify whether Radians Grads or Degrees angle mode is set for HOME The v and A symbols indicate whether there is more history in the HOME display Press the v and to scroll in the HOME display This user s guide contains images from the HP 39gs and does not display the
202. r and deletes character DEL Deletes current character Starts a new line CLEAR Erases the entire note Menu for entering variable names and contents of variables MATH Menu for entering math operations and constants CMDS Menu for entering program CHARS commands Displays special characters To type one highlight it and press To copy a character without closing the CHARS screen press AN Notes and sketches Aplet sketch view Sketch keys To draw a line Notes and sketches You can attach pictures to an aplet in its Sketch view SKETCH Your work is automatically saved with the aplet Press any other view key or to exit the Sketch view Key Meaning Stores the specified portion of the current sketch to a graphics variable G1 through GO Adds a new blank page to current sketch set FAGET Displays next sketch in the sketch set Animates if held down TENT Opens the edit line to type a text label DRAH Displays the menu key labels for drawing DEL Deletes the current sketch CLEAR Erases the entire sketch set E Toggles menu key labels on and off If menu key labels are hidden or any menu key redisplays the menu key labels In aplet press SHIFT SKETCH for the Sketch view 2 In Sketch view press M and move the cursor to where you want to start the line Press This turns line drawing 4
203. r example 11 2 you enter it in the format 1 5 For example to perform the following calculation 3 2 4 5 g 1 Set the Number format mode to Fraction or Mixed Fraction and specify a precision value of 4 In this example we ll select Fraction as our format SHIFT MODES v AMGLE MEASURE Radi ans DITE Select MUMEER FORMAT Fraction DECIMAL MARK Dott 2 PreactLon FT ENTER DECIMAL PLACES USE ENTER 4 TL TTE NN 1 27 Converting decimals to fractions 1 28 2 Enter the calculation 309 0 020 3 541000507 186 0 Note Ensure you are the HOME view 3 Evaluate the calculation Note that if you had selected Mixed Fraction instead of Fraction as the FUNCTION Sel ets 14 PARAD FUNCTION Beets gt r eH reo Number format the answer would have been expressed as 25 7 8 To convert a decimal value to a fraction 1 Set the number format mode to Fraction orMixed Fraction 2 Either retrieve the value from the History or enter the value on the command line 3 Press to convert the number to a fraction When converting a decimal to a fraction keep the following points in mind When converting a recurring decimal to a fraction set the fraction precision to about 6 and ens
204. r sequence for example U2 n any combination of the above The Sequence aplet allows you to create two types of graphs A Stairsteps graph plots n on the horizontal axis and U on the vertical axis A Cobweb graph plots on the horizontal axis and U on the vertical axis Getting started with the Sequence aplet Sequence aplet The following example defines and then plots an expression in the Sequence aplet The sequence illustrated is the well known Fibonacci sequence where each term from the third term on is the sum of the preceding two terms In this example we specify three sequence fields the first term the second term and a rule for generating all subsequent terms However you can also define a sequence by specitying just the first term and the rule for generating all subsequent terms You will though have to enter the second term if the hp39gs is unable to calculate it automatically Typically if the nth term in the sequence depends n 2 then you must enter the second term 6 1 Open the Sequence aplet Define the expression Specify plot settings 6 2 3 Open the Sequence aplet Select SEQUENCE STMEDLIC VIEH sequence UL 1 2135 The Sequence aplet Bener M P NN ETSI NETT starts in the Symbolic view Define the Fibonacci sequence in which each term after the first two is the sum of the preceding t
205. race a graph To move between relations 2 8 Key Meaning Continued HEHU Turns menu key labels on and off When the labels are off pressing turns them back on Pressing once displays the full row of labels Pressing HAm a second time removes the row of labels to display only the graph Pressing EET a third time displays the coordinate mode Displays the ZOOM menu list TRACE Turns trace mode on off A white box appears over the g on biG Opens input form for you to enter an X or Tor N or 0 value Enter the value and press pra The cursor jumps to the point on the graph that you entered Function aplet only turns on menu list for root tinding functions see Analyse graph with FCN functions on page 3 4 Displays the current defining expression Press BETI to restore the menu You can trace along a function using the 4 or gt key which moves the cursor along the graph The display also shows the current coordinate position x y of the cursor Trace mode and the coordinate display are automatically set when a plot is drawn Note Tracing might not appear to exactly follow your plot if the resolution in Plot Setup view is set to Faster This is because RES FASTER plots in only every other column whereas tracing always uses every column In Function and Sequence Aplets You can also scroll move the cursor left or right beyond
206. raightened metal paper clip into the hole as far as it will go Hold it there for 1 second then remove it 3 Press If necessary press and the first and last menu keys simultaneously Note This will erase your calculator memory To erase all memory and reset defaults If the calculator does not respond to the above resetting procedures you might need to restart it by erasing all of memory You will lose everything you have stored All factory default settings are restored 1 Press and hold the key the first menu key and the last menu key simultaneously 2 Release all keys in the reverse order Note To cancel this process release only the top row keys then press the third menu key R 3 If the calculator does not turn If the HP 3905 does not turn on follow the steps below until the calculator turns on You may find that the calculator turns on before you have completed the procedure If the calculator still does not turn on please contact Customer Support for further information 1 Press and hold the key for 10 seconds 2 Press and hold the key and the third menu key simultaneously Release the third menu key then release the key 3 Press and hold the key the first menu key and the sixth menu key simultaneously Release the sixth menu key then release the first menu key and then release the key 4 Locate the small hole in the back of the ca
207. re one In HOME enter value listiname element For element example to store 148 as the second element in L1 type lists S Deleting lists To delete a list To delete all lists In the List catalog highlight the list name and press DEL You are prompted to confirm that you want to delete the contents of the highlighted list variable Press to delete the contents In the List catalog press CLEAR Transmitting lists List functions You can send lists to calculators or PCs just as you can aplets programs matrices and notes 1 Align the HP 39gs calculators infrared ports or connect the calculators using an appropriate cable 2 Open the List catalogs on both calculators 3 Highlight the list to send 4 Press and choose the method of sending infrared or cable 5 Press 391 on the receiving calculator and choose the method of receiving infrared or cable For more information on sending and receiving files see Sending and receiving aplets on page 19 4 List functions are found in the MATH menu You can use them in HOME as well as in programs You can type in the name of the function or you can MATH FUNCTIONS copy the name of the List CONCAT function from the List i MAKELIST Pol category of the MATH olunom menu Press Q the n alpha L character key This highlights the List category in the le
208. ress ENTER 04 50 EN ALPHA Z O 4 5 FUH TIOM 4 52 Getting started 1 29 Catalogs and editors The HP 39gs has several catalogs and editors You use them to create and manipulate objects They access features and stored values numbers or text or other items that are independent of aplets A catalog lists items which you can delete or transmit for example an aplet An editor lets you create or modify items and numbers for example a note or a matrix Catalog Editor Contents Aplet library Aplets Sketch editor SKETCH List LIST Matrix SHIFT MATRIX Notepad sHiFT NOTEPAD Program SHIFT PROGRM Sketches and diagrams See Chapter 17 Notes and sketches Lists In HOME lists are 5 See Chapter 16 Lists One and two dimensional arrays HOME arrays are enclosed in See Chapter 15 Matrices Notes short text entries See Chapter 17 Notes and sketches Programs that you create or associated with user defined aplets See Chapter 18 n rogramming 1 30 Getting started and their views Aplet views This section examines the options and functionality of the three main views for the Function Polar Parametric and Sequence aplets Symbolic Plot and Numeric views About the Symbolic view The Symbolic view is the defining view for the Fu
209. returns 23 Mantissa significant digits of value MANT value Example MANT 21 2E34 returns 2 12 Maximum The greater of two values MAx value 1 value2 Example 210 25 returns 210 Minimum The lesser of two values MIN valuel value2 Example MIN 210 25 returns 25 Modulo The remainder of value 1 value2 value MOD value2 Example 9 MOD 4 returns 1 x percent of y that is x 100 y y Example 20 50 returns 10 Percent change from x to y that is 100 YCHANGE x y 13 15 ZTOTAL RAD DEG ROUND SIGN TRUNCATE 13 16 Example 20 50 returns 150 Percent total 100 y x What percentage of x is y Example TOTAL 20 50 returns 250 Radians to degrees Converts value from radians to degrees RAD gt DEG value Example RAD DEG returns 180 Rounds value to decimal places Accepts complex numbers ROUND value places Round can also round to a number of significant digits as showed in example 2 Examples ROUND 7 8676 2 returns 7 87 ROUND 0 0036757 3 returns 0 00368 Sign of value If positive the result is 1 If negative 1 If zero result is zero For a complex number this is the unit vector in the direction of the number SIGN value SIGN x Examples SIGN 2 returns 1 SIGN 3 4 returns 6 8 Truncates value to decimal places Accepts complex numbers TRUNCATE value
210. riable or variable expression to the edit line for editing Press MA when done Checks unchecks the current data set Only the checkmarked data set s are computed and plotted Typing aid for the column variables or for the Fit expressions ti Displays the current variable expression in standard mathematical form Press MA when done Evaluates the variables in the highlighted column C1 etc expression Statistics aplet Statistics aplet Meaning Continued Displays the menu for entering variable names or contents of variables Displays the menu for entering math operations Deletes the highlighted variable or the current character in the edit line SHIFT CLEAR Resets default specifications for the data sets or clears the edit line if it was active Note If SHIFT CLEAR is used the data sets will need to be selected again before re use To continue our example suppose that the heights of the rest of the students in the class are measured but each one is rounded to the nearest of the five values first recorded Instead of entering all the new data in C1 we shall simply add another column c2 that holds the frequencies of our five data points in C1 NE 5 Move the highlight bar into the right column of the H1 definition and replace the frequency value of 1 with the name C2 m2 STATISTICS SYMBOLIC 1 1 2 H3
211. ric Polar Sequence NumRow All Aplets except Statistics aplet NumStart Function Parametric Polar Sequence 18 42 Note that if Fraction or Mixed Fraction is chosen the setting will be ignored when labeling axes in Plot view A setting of Scientific will be used instead Example Scientific gt Format Or P gt Format Sets the column to be highlighted in Numeric view In a program type n gt NumCol where n can be 0 1 2 3 4 5 6 7 8 9 Enables you to choose the font size in Numeric view Does not appear in the Num Setup input form Corresponds to the key in Numeric view In a program type 0 gt NumFont for small default 1 NumFont for big Specifies the list of independent values to be used by Build Your Own Table In a program type LIST b NumIndep Sets the row to be highlighted in Numeric view In a program type n gt NumRow where n 0 Sets the starting value for a table in Numeric view From Num Setup enter a value for NUMSTART In program type n gt NumStart Programming NumStep Function Parametric Polar Sequence NumType Function Parametric Polar Sequence NumZoom Function Parametric Polar Sequence StatMode Statistics Programming Sets the step size increment value for an independent variable in Numeric view From Num Setup enter a value for NUMSTEP or In a program type n gt NumStep where gt 0 Sets the
212. ries of future payments starting at payment p 1 Calculate the balance of the loan at payment p 1 2 Store the new balance in PV using the REJN soft menu key 3 Amortize the series of payments starting at the new PV The amortization operation reads the values from the TVM variables rounds the numbers it gets from PV and PMT to the current display mode then calculates the amortization rounded to the same setting The original variables are not changed except for PV which is updated after each amortization 12 8 Using the Finance Solver 13 Using mathematical functions Math functions The HP 39gs contains many math functions The functions are grouped in categories For example the Matrix category contains functions for manipulating matrices The Probability category shown as Prob on the MATH menu contains functions for working with probability To use a math function you enter the function onto the command line and include the arguments in parentheses after the function You can also select a math function from the MATH menu The MATH menu The MATH menu provides access to math functions physical constants and programming constants The MATH menu is organized by category For each category of functions on the left there is a list of function names on the right The highlighted category is the current category WE FUNCTIONS Stat Two DEG FAD Symbolic FL G
213. ro Boltz mol Won univ gas 3 4 Press The menu closes and the value of the 5 e299 4 49377289268 1 13 26 Using mathematical functions 14 Variables and memory management Introduction The HP 39gs has approximately 200K of user memory The calculator uses this memory to store variables perform computations and store history A variable is an object that you create in memory to hold data The hp 39gs has two types of variables home variables and aplet variables Home variables are available in all aplets For example you can store real numbers in variables A to Z and complex numbers in variables ZO to Z9 These can be numbers you have entered or the results of calculations These variables are available within all aplets and within any programs Aplet variables apply only to a single aplet Aplets have specific variables allocated to them which vary from aplet to aplet You use the calculator s memory to store the following objects copies of aplets with specific configurations new aplets that you download aplet variables home variables variables created through a catalog or editor for example a matrix or a text note programs that you create You can use the Memory Manager SHIFT MEMORY to view the amount of memory available The catalog views which are accessible via the Memory Manager can be used to transfer variables such as lists or matrices between calc
214. rrors or omissions contained herein FOR CONSUMER TRANSACTIONS IN AUSTRALIA AND NEW ZEALAND THE WARRANTY TERMS CONTAINED IN THIS STATEMENT EXCEPT TO THE EXTENT LAWFULLY PERMITTED DO NOT EXCLUDE RESTRICT OR MODIFY AND ARE IN ADDITION TO THE MANDATORY STATUTORY RIGHTS APPLICABLE TO THE SALE OF THIS PRODUCT TO YOU Service Europe Asia Pacific Country Telephone numbers Austria 43 1 360277 1203 Belgium 32 2 7 126219 Denmark 45 8 2332844 Eastern Europe 420 5 41422523 countries Finland 35 89640009 France 33 1 49939006 Germany 49 69 95307 103 Greece 420 5 4 1422523 Holland 3 1 2 06545301 ltaly 39 02 754 19782 Norway 47 63849309 Portugal 35 1 229570200 Spain 34 915 642095 Sweden 46 851992065 Switzerland 41 1 4395358 41 22 8278780 French 39 02 754 19782 Italian Turkey 420 5 41422523 UK 44 207 4580161 Czech Republic 420 5 41422523 South Africa 27 1 2376200 Luxembourg 1322126219 Other European 420 5 41422523 countries Country Telephone numbers Australia 6 1 3 9841 5211 Singapore 6 1 3 9841 521 1 L America Country Telephone numbers Argentina 0 810 555 5520 Brazil Sao Paulo 3747 7799 0 800 157751 Mx City 5258 9922 ROTC 01 800 472 6684 Venezuela 0800 4746 8368 Chile 800 360999 Columbia 9 800 1 14726 Peru 0 800 10111 Central 1 800 711 2884 America amp Caribbean Guatemala 1 800 999 5105 Puerto Rico 1 877 232 0589
215. rst letter in the category to select a variable category For example to select d Ez see HOME VARS the Matrix category Modes Mz press Motepad M3 Froaram 4 Note In this instance there is no need to press the ALPHA key 3 Move the highlight to the variables column gt 4 Use the arrow keys to select the variable that you want For example to select M2 press 14 4 Variables and memory management Variables and memory management 5 Choose whether to place the variable name or the variable value on the command line Press to indicate that you want the variable s contents to appear on the command line Press to indicate that you want the variable s name to appear on the command line Press H3 to place the value or name on the command line The selected object appears on the command line FARAD FUNCTION fsm p Note VARS menu also be used to enter the names or values of variables into programs This example demonstrates how to use the VARS menu to add the contents of two list variables and to store the result in another list variable 1 Display the List Catalog LIST to select L1 3 Return to the List Catalog to create 12 SHIFT UST LIET CATALOG
216. s In a two equation set each equation must be in the form ax by k In a three equation set each equation must in the form ax by cz k You provide values for a b and k and c in three equation sets for each equation and the Linear Solver aplet will attempt to solve for x and y and z in three equation sets The hp39gs will alert you if no solution can be found or if there is an infinite number of solutions Note that the Linear Solver aplet only has a numeric view Getting started with the Linear Solver aplet Open the Linear Solver aplet Linear Solver aplet The following example defines a set of three equations and then solves for the unknown variables 1 Open the Linear Sequence aplet APLET Select Linear LINEAR ECOUATION FOLTER Solver The Linear Equation Solver opens 8 1 Choose the equation set Define and solve the equations 8 2 2 Ifthe last time you used the Linear Solver aplet you solved for two equations the two InFinite oF solutions equation input form is displayed as in the example in the previous step To solve a three equation set press E UATIOM EEE Now the input form displays three equations If the three equation input form is displayed and you want to solve a two equation set press In this example we are going to solve the following equation set 6x 9y 6z 5 7x 10y 8z 10 6x 4y 6 Hence
217. s Vertical spacing for tickmarks Those items with space for a checkmark are settings you can turn on or off Press to display the second page Field Meaning SIMULT If more than one relation is being plotted plots them simultaneously otherwise sequentially INV CROSS Cursor crosshairs invert the status of the pixels they cover Aplets and their views Field Meaning Continued CONNECT Connect the plotted points The Sequence aplet always connects them LABELS Label the axes with XRNG and YRNG values AXES Draw the axes GRID Draw grid points using XTICK and YTICK spacing Reset plot To reset the default values for all plot settings press settings SHIFT CLEAR in the Plot Setup view To reset the default value for a field highlight the field and press DEL Exploring the graph Plot view gives you a selection of keys and menu keys to explore a graph further The options vary from aplet to aplet PLOT view keys The following table details the keys that you use to work with the graph Key Meaning CLEAR Erases the plot and axes VIEWS Offers additional pre defined views for splitting the screen and for scaling Zooming the axes 4 Moves cursor to far left or far right gt A Moves cursor between relations Ly BTH or Interrupts plotting ON Continues plotting if interrupted Aplets and their views 2 7 T
218. s such as 1 a matrix variable All home variables other than those for aplet settings like and vtick are global which means they are shared throughout the different aplets of the calculator A value that is assigned to a home variable anywhere remains with that variable wherever its name is used Therefore if you have defined a value for T as in the above example in another aplet or even another Solve equation that value shows up in the Numeric view for this Solve equation When you then redefine the value for T in this Solve equation that value is applied to T in all other contexts until it is changed again This sharing allows you to work on the same problem in different places such as HOME and the Solve aplet without having to update the value whenever it is recalculated As the Solve aplet uses existing variable values be sure to check for existing variable values that may affect the solve process You can use SHIFT CLEAR to reset all values to zero in the Solve aplet s Numeric view if you wish Functions defined in other aplets can also be referenced in the Solve aplet For example if in the Function aplet you define F1 X 2 10 you can enter F1 X 50 in the Solve aplet to solve the equation 2 10 50 Solve aplet Linear Solver aplet About the Linear Solver aplet The Linear Solver aplet allows you to solve a set of Linear Equations The set can contain two or three linear equation
219. s plotting to find 7 7 multiplication 13 3 implied 1 20 N name conflict R 19 naming programs 18 4 natural exponential 13 3 13 10 natural log plus 1 13 10 natural logarithm 13 3 negation 13 5 negative numbers 1 20 no equations checked R 19 Normal Z distribution confidence in tervals 11 15 note copying 17 8 editing 17 2 importing 17 8 printing 18 26 viewing 17 1 writing 17 1 Notepad 17 1 catalog keys 17 7 creating notes 17 6 writing in 17 6 nrng 2 6 nth root 13 6 null hypothesis 1 1 2 number format engineering 1 11 fixed 1 10 fraction 1 11 in Solve aplet 7 5 mixed fraction 1 11 scientific 1 10 Standard 1 10 numeric precision 14 9 Numeric view adding values 2 18 automatic 2 16 build your own table 2 19 display defining function for col umn 2 17 recalculating 2 18 setup 2 16 2 19 O off automatic 1 1 power 1 1 on cancel 1 1 One Proportion Z Interval 11 17 One Sample T Interval 11 18 One Sample T Test 11 12 One Sample Z Interval 11 15 One Sample Z Test 11 8 order of precedence 1 21 overlaying plots 2 15 4 3 13 8 paired columns 10 11 parametric variables axes 18 32 connect 18 32 grid 18 33 in menu map R 8 indep 18 33 labels 18 34 recenter 18 34 ycross 18 37 parentheses to close arguments 1 21 to specify order of operation 1 21 pause 18 30 permutations 13 12 pictures attaching in Sketch view 17 3 plot analyzing statistical data in 10 19 auto scale 2 14 box and whisker 10 16 co
220. s INF STAT MUMERIC SETUP See E um Lun Se POPES 4603 5 c Heun confidence interval in the field v move to the C field 0 9 sees STAT MUMERIC SETUP ZEE Set 297844254602 n 6 E a a 5guple neun EDIT HELP IFHPRT 12 Display the confidence interval in the Numeric view Note The interval setting is 0 5 IMF 9 Critical T gt 115048 3469514 H 13 Display the confidence interval in the Plot view You can see from the second text row that the T 2 015048 rcRIT T 2 015048 JHBHH1M ac Cl 970186 NENNEN SS mean is contained within the 90 confidence interval Cl of 0 3469814 to 0 8370186 Note The graph is a simple generic bell curve It is not meant to accurately represent the t distribution with 5 degrees of freedom Hypothesis tests You use hypothesis tests to test the validity of hypotheses that relate to the statistical parameters of one or two populations The tests are based on statistics of samples of the populations The HP 39gs hypothesis tests use the Normal Z distribution or Student s t distribution to calculate probabilities One Sample Z Test Menu name Inputs 11 8 Z Test 1 u On
221. s called by other programs that the aplet uses This entry specifies that the program EXP ANG is transferred when the aplet is transferred but the space in the first quotes ensures that no entry appears on the menu MOLabL s EAP o J Ti This specifies the Start menu option The program thot is associated with this entry 5 runs automatically when you start the aplet Because this menu option specifies view 7 the VIEWS menu opens when you start the aplet You only need to run this program once to configure your aplet s VIEWS menu Once the aplet s VIEWS menu is configured it remains that way until you run SETVIEWS again You do not need to include this program for your aplet to work but it is useful to specify that the program is attached to the aplet and transmitted when the aplet is transmitted 7 Return to the program catalog The programs that you created should appear as follows 8 You must now the program EXP SV to execute the SETVIEWS command and create the modified VIEWS menu Check that the name of the new aplet is highlighted in the Aplet view 9 You can now return to the Aplet library and press to run your new aplet Programming commands This section describes the commands for programming with hp 39GS You can enter these commands in your program by typing them or by accessing them from the Commands menu Programming 18 13 Aplet commands CHECK
222. s to the program when user EDITMAT name Programming RANDMAT REDIM REPLACE SCALE SCALEADD SUB SWAPCOL SWAPROW Programming Creates random matrix with a specified number of rows and columns and stores the result in name name must be MO M9 The entries will be integers ranging from 9 to 9 RANDMAT name rows columns Redimensions the specified matrix or vector to size For a matrix size is a list of two integers n1 n2 For a vector size is a list containing one integer n REDIM name size Replaces portion of a matrix or vector stored in name with an object starting at position start start for a matrix is a list containing two numbers for a vector it is a single number Replace also works with lists and graphics REPLACE name start object Multiplies the specified row number of the specified matrix by value SCALE name value rownumber Multiplies the row of the matrix name by value then adds this result to the second specified row SCALEADD name value row row2 Extracts a sub object a portion of a list matrix or graphic from object and stores it into name start and end are each specified using a list with two numbers for a matrix a number for vector or lists or an ordered pair x for graphics SUB name object start end Swaps Columns Exchanges column and column2 of the specified matrix SWAPCOL name column column2 Swap Rows
223. screen Getting started with the Statistics aplet The following example asks you to enter and analyze the advertising and sales data in the table below compute statistics fit a curve to the data and predict the effect of more advertising on sales Advertising minutes Resulting Sales independent x dependent y Statistics aplet 10 1 Open the Statistics aplet Enter data 10 2 1 Open the Statistics aplet and clear existing data by pressing 3931 APLET Select Statistics WSS EDIT IHF O0RT Ela eT The Statistics aplet starts in the Numerical view 1VAR 2VAR menu key label At any time the Statistics aplet is configured for only one of two types of statistical explorations one variable E or two variable The 5th menu key label in the Numeric view toggles between these two options and shows the current option Select You need to select because in this example we are analyzing a dataset comprising two variables advertising minutes and resulting sales Enter the data into the columns 2 ENTER 1 ENTER 3 ENTER 5 ENTER 5 ENTER 4 ENTER EWIT BU EH UTC RAE gt to move to the next column 1400 920 1100 2265 2890 2200 Statistics aplet Choose fit and data columns Explore statistics Statistics aplet 4 6 Select a fit in the Symbolic setup view SHIFT SETUP SYMB
224. screen into the plot and a Detail close up Plot Table Splits the screen into the plot and the data table Overlay Plots the current expression s Plot without erasing any pre existing plot s Aplets and their views 2 13 Split the screen Option Meaning Continued Auto Scale Rescales the vertical axis so that the display shows a representative piece of the plot for the supplied x axis settings For Sequence and Statistics aplets autoscaling rescales both axes The autoscale process uses the first selected function only to determine the best scale to use Decimal Rescales both axes so each pixel 0 1 unit Resets default values for XRNG 6 5 to 6 5 and YRNG 3 1 to 3 2 Not in Sequence or Statistics aplets Integer Rescales horizontal axis only making each pixel 1 unit Not available in Sequence or Statistics aplets Trig Rescales horizontal axis so 1 pixel 2x 24 radian 7 58 or 81 4 grads rescales vertical axis so 1 pixel 0 1 unit Not in Sequence or Statistics aplets The Plot Detail view can give you two simultaneous views of the plot l Press VIEWS Select Plot Detail and press The graph is plotted twice You can now zoom in on the right side Press EDIDI select the zoom method and press or This zooms the right side Here is an example of split screen with zoom In The Plot menu keys are a
225. scribed in this section The hp 39gs has two other menus of constants program constants and physical constants These are described in Program constants and physical constants on page 13 24 Natural logarithm base Internally represented as 2 71828182846 Imaginary value for 1 the complex number 0 1 Maximum real number Internally represented as 9 99999999999 x 10477 MAXREAL Minimum real number Internally represented as 1210777 MINREAL Internally represented as 3 14159265359 TU The conversion functions are found on the Convert menu They enable you to make the following conversions Convert from Fahrenheit to Celcius Example C 212 returns 100 Convert from Celcius to Fahrenheit Example F 0 returns 32 Convert from inches to centimeters Using mathematical functions IN lL LGAL LBS MILE DEG RAD Convert from centimeters to inches Convert from US gallons to liters Convert from liters to US gallons Convert from pounds to kilograms Convert from kilograms to pounds Convert from miles to kilometers Convert from kilometers to miles Convert from radians to degrees Convert from degrees to radians Hyperbolic trigonometry ACOSH ASINH ATANH COSH SINH TANH ALOG Using mathematical functions The hyperbolic trigonometry functions can also take complex numbers as arguments Inverse hyperbolic cosine cosh x A
226. shade Press Press Zaz then select Signed area and press Press Er choose the function that will act as the 8 Press the or gt key to shade in the area Press ff calculate the area The area measurement is displayed near the bottom of the screen To remove the shading press to re draw the plot 3 11 Plotting a piecewise defined function Suppose you wanted to plot the following piecewise defined function 25 1 Joe uS 4 2 1 Open the Function aplet Select Function Fatwa TES STU W CHE EN o ZHON EVAL 2 Highlight the line you want to use and enter the expression You can press DEL to delete an existing line or SHIFT CLEAR to clear all lines C 2 D B FUNCTION SYMEOLIC WFitKss K teae cKe 15 9 B CHARS lt PECH3 H2 8 gt 1 AND gt E SHIFT CHARS gt 1 AND SHIFT CHARS lt 1 D 04 C B 3 9 E suirr CHARS gt 1 D Note You can use ti menu key to assist in the entry of equations It has the same effect as pressing X18 3 12 Function aplet Parametric aplet About the Parametric aplet The Parametric aplet allows you to explore parametric equations These are equations in which both x and y are defined as functions of t They take the forms x f t and y g t Getting started with the Parametric aplet
227. splay 2 9 copying display 1 22 graphics 17 6 notes 17 8 programs 18 8 correlation coefficient 10 17 CORR 10 17 statistical 10 15 cosecant 13 20 cosine 13 4 inverse hyperbolic 13 9 cotangent 13 20 covariance statistical 10 15 creating aplet 19 1 lists 16 1 matrices 15 3 notes in Notepad 17 6 programs 18 4 sketches 17 3 critical value s displayed 11 4 cross product vector 15 11 curve fitting 10 12 10 17 D data set definition 10 8 date setting 18 28 debugging programs 18 7 decimal changing format 1 10 scaling 2 14 2 15 decreasing display contrast 1 2 definite integral 13 6 deleting aplet 19 6 lists 16 6 matrices 15 5 programs 18 9 statistical data 10 11 delimiters programming 18 1 derivatives definition of 13 6 in Function aplet 13 22 in Home 13 21 determinant square matrix 15 11 differentiation 13 6 display 18 21 adjusting contrast 1 2 annunciator line 1 2 capture 18 21 clearing 1 2 date and time 18 28 element 15 5 elements 16 4 engineering 1 10 fixed 1 10 fraction 1 10 history 1 22 line 1 23 matrices 15 5 parts of 1 2 printing contents 18 26 rescaling 2 13 scientific 1 10 scrolling through history 1 25 soft key labels 1 2 standard 1 10 divide 13 3 drawing circles 17 4 keys 17 4 lines and boxes 17 3 drawing commands ARC 18 19 BOX 18 20 ERASE 18 20 FREEZE 18 20 LINE 18 20 PIXOFF 18 20 PIXON 18 20 TLINE 18 20 E e 13 8 edit li
228. stic Lists 17 Notes and sketches Introduction The HP 39gs has text and picture editors for entering notes and sketches Each aplet has its own independent Note view and Sketch view Notes and sketches that you create in these views are associated with the aplet When you save the aplet or send it to another calculator the notes and sketches are saved or sent as well The Notepad is a collection of notes independent of all aplets These notes can also be sent to another calculator via the Notepad Catalog Aplet note view You can attach text to an aplet in its Note view To write a note in 1 In an aplet press SHIFT NOTE for the Note view Note view 2 Use the note editing keys shown in the table in the following section 3 Set Alpha lock for quick entry of letters For lowercase Alpha lock press MA 4 While Alpha lock is on type a single letter of the opposite case press letter To type a single non alpha character such as 5 or press ALPHA first This turns off Alpha lock for one character Your work is automatically saved Press any view key Sv PLOT VIEWS or to exit the Notes view Notes and sketches 17 1 Note edit keys 17 2 Key Meaning FACE Space key for text entry GE Displays next page of a multi page note Alpha lock for letter entry Lower case alpha lock for letter entry EEEF Backspaces curso
229. stics from two samples each from a ditferent population the Two Proportion Z Test measures the strength of the evidence for a selected hypothesis against the null hypothesis The null hypothesis is that the proportion of successes in the two populations is equal You select one of the following alternative hypotheses against which to test the null hypothesis Inference aplet X T H n gt H n T 11 11 Inputs Results The inputs are Field name Definition X1 Sample 1 mean X2 Sample 2 mean n1 Sample 1 size n2 Sample 2 size Significance level The results are Result Description Test 1 2 Difference between the proportions of successes in the two samples Test Z Z Test statistic Prob Probability associated with the Z Test statistic Critical Z Boundary values of Z associated with the a level that you supplied One Sample T Test Menu name 11 12 T Test 1 u The One sample T Test is used when the population standard deviation is not known On the basis of statistics from a single sample this test measures the strength of the evidence for a selected hypothesis against the null hypothesis The null hypothesis is that the sample mean has some assumed value Ho Ho You select one of the following alternative hypotheses against which to test the null hypothesis Hi lt Ho 7 Uo z up Infere
230. sure 2 Press to display a list of choices 3 Press A to select Degrees and press The angle measure changes to degrees 4 Press HOME to return to HOME HOME MODES ANGLE MEASURE PERRETE MUMEER FORMAT Fraction 4 DECIMAL MARE 3 CHOOSE AMGLE MEASURE ee HOME MODES ee D ANGI MUKA peas 4 Grads CHOOSE ANGLE MEASURE LAHEL OF HOMIE MODE ANGLE MEASURE K a MUMEER FORMAT Fraction 4 DECIMAL MARK Dot 2 CHOOSE ANGLE MEASURE Whenever an input form has a list of choices for a field you can press fo cycle through them instead of using Aplets E lessons Aplets are the application environments where you explore different classes of mathematical operations You select the aplet that you want to work with Aplets come from a variety of sources Built in the HP 39gs initial purchase e Aplets created by saving existing aplets which have been modified with specific configurations See Creating new aplets based on existing aplets on page 19 1 e Downloaded from HP s Calculators web site Copied from another calculator Aplets are stored in the Aplet library See Aplet library on page 1 16 for further information You can modify APLET LIERARY SESEREETR Function AKE Inference Parametric Polar Sequence ORT SEND
231. t Its syntax is IFERR frap clause THEN clause 1 ELSE clause 2 END Example IFERR 60 X gt Y THEN MSGBOX Error X is zero ELSE MSGBOX Value is Y END Runs the named program If your program name contains special characters such as a space then you must enclose the file name in double quotes RUN program name or RUN programname Stops the current program STOP Drawing commands ARC Programming The drawing commands act on the display The scale of the display depends on the current aplet s Xmin Xmax Ymin and Ymax values The following examples assume the hp 3905 default settings with the Function aplet as the current aplet Draws a circular arc of given radius whose centre is at The arc is drawn from start angle measurement to end angle measurement ARC x y radius start angle measurement end angle measurement 18 19 ERASE FREEZE LINE PIXOFF PIXON TLINE 18 20 Example ARC 0 0 2 0 2 FREEZE Draws a circle centered at 0 0 of radius 2 The FREEZE command causes the circle to remain displayed on the screen until you press a key Draws a box with diagonally opposite corners x y and x2 y2 BOX xl yl x2 y2 Example BOX 1 1 1 1 FREEZE Draws a box lower corner at 1 1 upper corner at 1 1 Clears the display ERASE Halts the program freezing the current display Execut
232. ted together Setting up the plot Plot view setup Press SETUP PLOT to define any of the settings shown in the next two tables 1 Highlight the field to edit If there is a number to enter type it in and press ENTER or If there is an option to choose press MIMAS highlight your choice and press or As a shortcut to BERGE just highlight the field to change and press to cycle through the options If there is an option to select or deselect press to check or uncheck it 2 Press to view more settings 3 When done press to view the new plot Aplets and their views 2 5 Plot view settings 2 6 The plot view settings are Field Meaning XRNG YRNG RES TRNG ORNG NRNG TSTEP OSTEP SEQPLOT XTICK YTICK Specifies the minimum and maximum horizontal X and vertical Y values for the plotting window For function plots Resolution Faster plots in alternate pixel columns Detail plots in every pixel column Parametric aplet Specifies the t values T for the graph Polar aplet Specifies the angle 0 value range for the graph Sequence aplet Specifies the index N values for the graph For Parametric plots the increment for the independent variable For Polar plots the increment value for the independent variable For Sequence aplet Stairstep or Cobweb types Horizontal spacing for tickmark
233. the appropriate fields In our example we know the length of two sides and the angle at which those sides meet Hence if we specify the lengths of sides A and we must enter the angle as since is the angle where A and B meet If instead we entered the Triangle Solve aplet Errors Triangle Solve aplet lengths as B and C we would need to specify the angle as a The illustration on the display will help you determine where to enter the known values Note if you need to change the angle measure mode press MODES change the mode and then press NUM fo return to the aplet Press The solver calculates the values of the unknown variables and displays As the illustration at the right shows the length of Enlutien Found nter len3th oF zaide A the unknown side in our example is 3 2296 The other two angles have also been calculated Note if two sides and an adjacent acute angle are entered and there are two solutions only one will be displayed initially In this case an menu key is displayed as in this example You press to display the second solution and again to return to the first solution No solution with given data If you are using the general input form and you enter more than 3 values the values might not be consistent that is no H30 18 141 31 L colution Found nter gn3le 5 amp 200 Hith Jaen data nter Length oF zaide A tri
234. the basis of statistics from a single sample the One Sample Z Test measures the strength of the evidence for a selected hypothesis against the null hypothesis The null hypothesis is that the population mean equals a specified value Ho You select one of the following alternative hypotheses against which to test the null hypothesis Hiiu It Hiu gt The inputs are Field name Definition x Sample mean n Sample size Lig Hypothetical population mean Population standard deviation Significance level Inference aplet Results The results are Result Description Test Z Prob Critical Z Critical x Z lest statistic Probability associated with the Z Test statistic Boundary values of Z associated with the a level that you supplied Boundary values of x required by the a value that you supplied Two Sample Z Test Menu name Z Test u1 n2 On the basis of two samples each from a separate population this test measures the strength of the evidence for a selected hypothesis against the null hypothesis The null hypothesis is that the mean of the two populations are equal Ho u1 u2 You select one of the following alternative hypotheses against which to test the null hypothesis HiH I H u gt It Inputs The inputs are Field name Definition zi Sample 1 mean Zo Sample 2 mean ni Sample 1 s
235. ting P YR 12 and End payment option Enter the known variables as shown in the diagram above Your input form should look as follows TIME VALUE OF ENTER PAYMENT AMOUNT OR SOLVE e Highlighting the PMT field press soft menu key to obtain a payment of 315 17 i e PMT 315 17 To determine the maximum loan possible if the monthly payments are only 300 type the value 300 in the PMT field highlight the PV field and press the gasna soft menu key The resulting value is PV 15 705 85 12 5 Example 2 Mortgage with balloon payment 12 6 Suppose you have taken out a 30 year 150 000 house mortgage at 6 5 annual interest You expect to sell the house in 10 years repaying the loan in a balloon payment Find the size of the balloon payment the value of the mortgage after 10 years of payment Solution The following cash flow diagram illustrates the case of the mortgage with balloon payment IXYR 6 5 150 000 N 30 x 12 360 for PMT N 10x 12 120 for balloon payment P YR 12 End mode Balloon payment FV 2 Start the Finance Solver selecting P YR 12 and End payment option Enter the known TVM variables as shown in the diagram above Your input form for calculating monthly payments for the 30 yr mortgage should look as follows TIME VALUE DF 268 Bo
236. ts complex numbers value Example 324 returns 18 Negation Also accepts complex numbers value Example 1 2 returns 1 2 Power x raised to y Also accepts complex numbers value power Example 278 returns 256 Absolute value For a complex number this is y ABS value ABS x y Example ABS 1 returns 1 ABS 1 2 returns 2 2360679775 13 5 y Takes the nth root of x root NTHROOT value Example 3 NTHROOT 8 returns 2 Calculus functions The symbols for differentiation and integration are available directly form the keyboard d dx and S respectively as well as from the MATH menu 0 Differentiates expression with respect to the variable of differentiation From the command line use a formal name S1 etc for a non numeric result See Finding derivatives on page 13 21 0 variable expression Example 51 512 3 51 returns 2 51 3 J Integrates expression trom lower to upper limits with respect to the variable of integration To find the definite integral both limits must have numeric values that is be numbers or real variables To find the indefinite integral one of the limits must be a formal variable s1 etc lower upper expression variable See Using formal variables on page 13 20 for further details Example J 0 81 2 X 3 X 4 Goa finds the indefinite result 3 s1 2 s1 2 2 See To find the indefinite integral using formal
237. ulators Variables and memory management 14 1 Storing and recalling variables Numeric Precision To store a value To store the results of a calculation 14 2 You can store numbers or expressions from a previous input or result into variables A number stored in a variable is always stored as a 12 digit mantissa with a 3 digit exponent Numeric precision in the display however depends on the display mode Standard Fixed Scientific Engineering or Fraction A displayed number has only the precision that is displayed If you copy it from the HOME view display history you obtain only the precision displayed not the full internal precision On the other hand the variable Ans always contains the most recent result to full precision 1 On the command line enter the value or the calculation for the result you wish to store FUNCTION 2 Press 3 Enter a name for the SINC Ann variable 4 Press IzIm 1 If the value you want to store is in the HOME view display history for example the results of a previous calculation you need to copy it to the command line then store it 1 Perform the calculation for the result you want to store 3 x g8 xj D x um J CD86 9 3 FUNCTION aalr rb zTUk Move the highlight to the result you wish to store Press to copy the result to the command line Variables and memory ma
238. ure that you include more than six decimal places in the recurring decimal that you enter In this example the fraction precision is set to 6 The top calculation returns the correct result The bottom one does not RAD FUNCTION 2 3 6666 3333 5808 1 To convert an exact decimal to a fraction set the fraction precision to at least two more than the number of decimal places in the decimal Getting started In this example the FUNCTION fraction precision is set to 6 625 24 Complex numbers Complex results The HP 39gs can return a complex number as a result for some math functions A complex number appears as an ordered pair x where x is the real part and is the imaginary part For example entering 1 returns 0 1 To enter complex Enter the number in either of these forms where x is the numbers real part y is the imaginary part and i is the imaginary constant Fx or 4 xt ily To enter i press GEET or press MATH or v keys to select Constant gt to move to the right column of the menu v to Storing complex There are 10 variables available for storing complex numbers numbers ZO to Z9 To store a complex number in a variable Enter the complex number press 1 enter the variable to store the number and p
239. urrent equation is V 0 24 One of these is V with V 27 78 that is Y 771 7284 This graph will line The other graph will be Y U 240 with U 16 67 and D 100 that is Y 2004 277 8889 This graph is also a line The desired solution is the value of A where these two lines intersect 7 3 6 Plot the equation for variable A Select Auto Scale 7 Trace along the graph representing the left side of the equation until the cursor nears the intersection gt 20 times 1 771 708 RAM 1 771 708 Iii Note the value of A displayed near the bottom left corner of the screen The Plot view provides a convenient way to find an approximation to a solution instead of using the Numeric view Solve option See Plotting to find guesses on page 7 7 for more information Solve aplet s NUM view keys 74 The Solve aplet s NUM view keys are any done Key Meaning EDIT Copies the highlighted value to the edit line for editing Press ff when done ma Displays a message about the solution see Interpreting results on page 7 6 FAGE Displays other pages of variables if TEEN Displays the symbolic definition of the current expression Press when Finds a solution for the highlighted variable based on the values of the other variables Solve aplet Meaning Continued
240. vailable as for the full plot for tracing coordinate display equation display and so on Aplets and their views Overlay plots Decimal scaling Integer scaling Trigonometric scaling Aplets and their views 4 moves the leftmost cursor to the screen s lett edge and gt moves the rightmost cursor to the screen s right edge The menu key copies the right plot to the left plot 3 un split the screen press PLOT The left side takes over the whole screen The Plot Table view gives you two simultaneous views of the plot 1 Press 5 Select Plot Table and press MA The screen displays the plot on the 280425 82345 left side and a table of numbers on the right side 2 To move up and down the table use the 4 and cursor keys These keys move the tra ce point left or right along the plot and in the table the corresponding values are highlighted 3 To move between functions use the and v cursor keys to move the cursor from one graph to another 4 To return to a full Numeric or Plot view press NUM or PLOT If you want to plot over an existing plot without erasing that plot then use Overlay Plot instead of PLOT Note that tracing follows only the current functions from the current aplet Decimal scaling is the default scaling If you have changed the scaling to Trig or Integer you can change it back with Decimal Integer scali
241. vailable in every aplet S1fit S5tit for example are only available in the Statistics aplet Under each variable name is a list of the aplets where the variable can be used Programming 18 31 Plot view variables Area Function Axes All Aplets Connect Function Parametric Polar Solve Statistics Coord Function Parametric Polar Sequence Solve Statistics Extremum Function FastRes Function Solve 18 32 Contains the last value found by the Area function in Plot FCN menu Turns axes on or off From Plot Setup check or uncheck __AXES or In a program type 1 gt Axes to turn axes on default 0 gt Axes to turn axes off Draws lines between successively plotted points From Plot Setup check or uncheck In a program type 1 gt Connect to connect plotted points default except in Statistics where the default is off 0 gt Connect not to connect plotted points Turns the coordinate display mode in Plot view on or off From Plot view use the Menu mean key to toggle coordinate display on an off In a program type 1 Coord to turn coordinate display on default 0 Coord to turn coordinate display off Contains the last value found by the Extremum operation in the Plo FCN menu Toggles resolution between plotting in every other column faster or plotting in every column more detail From Plot Setup choose Faster or More Detail
242. vide links to associated programs You can specify any other programs that you want transferred with the aplet See SETVIEWS on page 18 14 for information on the command Ensure that the customized aplet is selected then run the menu configuration program to configure the aplet s VIEWS menu Test the customized aplet and debug the associated programs Refer to Debug a program on page 16 7 Aplet naming convention To assist users in keeping track of aplets and associated programs use the following naming convention when setting up an aplet s programs Example 18 10 Start all program names with an abbreviation of the aplet name We will use APL in this example Name programs called by menu entries in the VIEWS menu number after the entry for example APL ME1 for the program called by menu option 1 LEME for the program called by menu option Name the program that configures the new VIEWS menu option APL SV where SV stands for SETVIEWS For example a customized aplet called Differentiation might call programs called DIFF ME1 DIFF ME2 and DIFF SV This example aplet is designed to demonstrate the process of customizing an aplet The new aplet is based on the Function aplet Note This aplet is not intended to serve a serious use merely to illustrate the process Programming Save the aplet Configuring the Setviews menu option programs Programming 1 Open the Function a
243. w settings Reset numeric settings The following table details the fields on the Numeric Setup input form Field Meaning NUMSTART The independent variable s starting value NUMSTEP The size of the increment from one independent variable value to the next NUMTY PE Type of numeric table Automatic or Build Your Own To build your own table you must type each independent value into the table yourself NUMZOOM Allows you to zoom in or out ona selected value of the independent variable To reset the default values for all table settings press SHIFT CLEAR Exploring the table of numbers NUM view menu keys Zoom within a table Aplets and their views The following table details the menu keys that you use to work with the table of numbers Key Meaning Displays ZOOM menu list Toggles between two character sizes Displays the defining function expression for the highlighted column To cancel this display press 0390 Zooming redraws the table of numbers in greater or lesser detail 2 17 ZOOM options Automatic recalculation HINT The following table lists the zoom options Option Meaning Decreases the intervals for the independent variable so a narrower range is shown Uses the NUMZOOM factor in Numeric Setup Out Increases the intervals for the independent variable so that a wider range is shown Uses the NUM
244. we need the three equation input form 3 You define the equations you want to solve by entering the co efficients of each variable in each equation and the constant term Notice that the cursor is immediately positioned at the co efficient of x in the first equation Enter that co efficient and press WA or 4 The cursor moves to the next co efficient Enter that co efficient press BIB or ENTER and continue doing likewise until you have defined all the equations Note you can enter the name of a variable for any co efficient or constant Press ALPHA and begin entering the name The menu key appears Press that key to lock alphabetic entry mode Press it again to cancel the lock Once you have entered enough values for the solver to be able to generate solutions those solutions appear on the display In the example at the right the solver was able to find solutions for x y and z as Linear Solver aplet Linear Solver aplet soon as the first co efficient of the last equation was entered As you enter each of LIMERR EQUATION the remaining known 9 6 225 ra 10 2 14 n qu 2 6 values the solution changes The example f z aseeee v 3 25 z 2 541666 at the right shows the final solution once all the co efficients and constants are entered for the set of equations we set out to solve 8 3 Triangle Solve aplet About the Triangle Solver aplet The Triangle Solv
245. wo terms U 1 U 1 U U _ U _ lorn 3 n In the Symbolic view of the Sequence aplet highlight the U1 1 field and begin defining your sequence 1 1 SEQUENCE SYMEOLIC TES CEN 027172 hallin e Note You can use the H g3 Dk and menu keys to assist the entry of equations SEQUENCE SYMEOLIC 1 eDi CN 3 U1 CN 194 U1 CML In Plot Setup first set the SEQPLOT option to Stairstep Reset the default plot settings by clearing the Plot Setup view SEGQUEMCE PLOT SETUP SHIFT CLEAR udi WW 8 c SN gt 8 ENTER MINIMUM VERTICAL YALUE Sequence aplet Plot the 4 Plot the Fibonacci sequence sequence 1 ULHI 1 HEHU 5 In Plot Setup set the SEQPLOT option to Cobweb SHIFT SETUP PLOT BITTE Select Cobweb 1 1 HEHU Display the table 6 Display the table of values for this example NUM Sequence aplet 6 3 Solve aplet About the Solve aplet The Solve aplet solves an equation or an expression for its unknown variable You detine an equation or expression in the symbolic view then supply values for all the variables except one in the numeric view Solve works only with real numbers Note the differences between an equation and an expression
246. xt item consists of any number of expressions and quoted strings of text The expressions are evaluated and turned into strings of text For example AREA 15 2 2 becomes AREA IS 4 Use SHIFT CHARS to type the quote marks MSGBOX lextilem Example A MSGBOX AREA IS m A 2 You can also use the NoteText variable to provide text arguments This can be used to insert line breaks For example press SHIFT NOTE and type AREA IS ENTER The position line MSGBOX NoteText X A 2 will display the same message box as the previous example 18 29 Displays an input box with name the title and prompts for a value for name name can be a variable such as A Z 0 11 19 C1 C9 or 71 79 PROMPT name WAIT Halts program execution for the specified number of seconds WAIT seconds Stat One and Stat Two commands The following commands are used for analyzing one variable and two variable statistical data Stat One commands DO1VSTATS Calculates STATS using datasetname and stores the results in the corresponding variables gt Mean PVarX 5 gt PSDev SSDev MinX Q1 Median and MaxX Datasetname can be H1 H2 or H5 Datasetname must include at least two data points DO1VSTATS datasetname SETFREQ Sets datasetname frequency according to column or value Datasetname can be H1 H2 or H5 column can be CO C and value can be any positive inte
247. y Matrix Matrices Spectral Norm of matrix SPECNORM matrix Spectral Radius of a square matrix SPECRAD matrix Singular Value Decomposition Factors an m x n matrix into two matrices and a vector m m square orthogonal n square orthogonal real SVD matrix Singular Values Returns a vector containing the singular values of matrix SVL matrix Finds the trace of a square matrix The trace is equal to the sum of the diagonal elements It is also equal to the sum of the eigenvalues TRACE matrix Transposes matrix For a complex matrix TRN finds the conjugate transpose TRN matrix You can create an identity matrix with the IDENMAT function For example IDENMAT 2 creates the 2x2 identity matrix 1 0 O 1 You can also create an identity matrix using the MAKEMAT make matrix function For example entering MAKEMAT I4J 4 4 creates a 4 x 4 matrix showing the numeral 1 for all elements except zeros on the diagonal The logical operator V4 returns when the row number and J the column number are equal and returns 1 when they are not equal 15 13 Transposing a Matrix Reduced Row Echelon Form 15 14 The TRN function swaps the row column and column row elements of a matrix For instance element 1 2 row 1 column 2 is swapped with element 2 1 element 2 3 is swapped with element 3 2 and so on For example TRN 1 2 3 4 creates the matrix
248. y Meaning ELIT Opens the highlighted matrix for editing HEH Prompts for a matrix type then EXT Transmits the highlighted matrix to another 3995 or a disk drive See Sending and receiving aplets on page 19 4 FECL Receives a matrix from another hp 39gs or a disk drive See Sending and receiving aplets on page 19 4 DEL Clears the highlighted matrix CLEAR Clears all matrices Moves to the end or the beginning of the catalog opens an empty matrix with the highlighted name Matrices To create a matrix 1 Press SHIFT MATRIX to open the Matrix Catalog The in the Matrix Matrix catalog lists the 10 available matrix variables Catalog MO to M9 2 Highlight the matrix variable name you want to use and press 3 Select the type of matrix to create For a vector one dimensional array select Real vector or Complex vector Certain operations CROSS do not recognize a one dimensional matrix as a vector so this selection is important For a matrix two dimensional array select Real matrix or Complex matrix 4 For each element in the matrix type a number or an expression and press ENTER The expression may not contain symbolic variable names For complex numbers enter each number in complex form that is a b where a is the real part and b is the imaginary part You must include the parentheses and the comma 5 Use the cursor keys
249. ymin Tmin Ymax Tmax Xzoom Yzoom Symbolic Angle 1 5 1 6 A Y6 X2 7 X2 Y7 X3 X8 Y8 4 9 Y4 Y9 X5 0 0 Numeric Digits NumRow Format NumStart NumCol NumStep NumFont NumType NumIndep NumZoom Note NoteText Sketch Page PageNum Polar aplet variables The polar aplet variables are Category Available names Plot Axes Connect Xcross Coord Ycross Grid XL od Indep YELEK EnvCross Xmin Labels xmax Recenter Ymin Samus Umin Xzoom Umax Yxoom Ostep Tracing Symbolic Angle R6 R1 R7 R2 R8 R9 R4 RO R5 Numeric Digits NumRow Format NumStart NumCol NumStep NumFont NumType NumIndep NumZoom Note NoteText Sketch Page PageNum R 9 Sequence aplet variables The sequence aplet variables are Category Available name Plot Axes Tracing Coord Grid YCross Indep Xtick InvCross Ytick Labels Xmin Nmin Xmax Nmax Ymin Recenter Ymax SeqPlot Xzoom Simult Yzoom Symbolic Angle U6 Y U7 U2 U8 U3 09 U4 UO US Numeric Digits NumRow Format NumStart NumCol NumStep NumFont NumType NumIndep NumZoom Note NoteText Sketch Page PageNum Solve aplet variables The solve aplet variables are Category Available name Plot Axes Xcross Connect Ycross Coord Xtick FastRes Ytick Grid Xmin Indep Xmax InvCross Ymin Labels Ymax Recenter Xzoom Tracing Yxoom Symbolic Angle E6 El E7 2 8 9 4 EO 5 Numeric Digits NumCol Format

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