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HP 39g+ Calculator

1. R 8 Polar aplet variables ui uds atti tates nace R 9 Sequence aplet R 10 Solve aplet variables ce nere R 1 1 Statistics aplet R 12 MATH menu categories R 13 WGI MUNG HONS eese ceat cuti ue MEUM EM E V Ld DE R 13 Programi este on esta R 15 Program commands capote Vesti e tun Rd eed sadips pue ep EE R 16 DIGIUSSIMIESSCO ES soia tecto ise a e to Notices is R 17 Limiting Warranty nicole W 3 Regulatory nio maios W 5 Index vi Contents Preface The hp 39g is a feature rich graphing calculator It is also a powerful mathematics learning tool The hp 39g is designed so that you can use it to explore mathematical functions and their properties You can get more information on the hp 39g 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 mathematical concepts Hewlett Packard s Calculators web site can be found at http www hp com calculators Manual conventions Preface 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
2. SELECT SETVIEHS Graphic UNCHECK 16 4 Programming 2 On the left use or to highlight a command category then press gt to access the commands in the category Select the command that you want gt 1 SERES PROGRAM COMPIANDS SERES HpPlet Branch ERASE Graphic w FFEEZE ee DE 3 Press to paste the command into the program editor H PRUIG PROGRAM BU ERE ETE PROGRAM CATALOG 332 Edita program 1 Press SHIFT PROGRM to ee rE PROG a open the Program Editline BSKE catalog EDIT HEH RECH KUM 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 Programming 16 5 Editing keys 16 6 The editing keys are Key Meaning EE Inserts the character at the editing point PACE Inserts space into text FUTT Displays previous page of the program Displays next page of program v Moves up or down one line 4 Moves right or left one character A Alpha lock for letter entry Press A Z to lock lower case ESE Backspaces cursor and deletes character DEL Deletes current character Starts a new line CLEAR Erases the entire program Displays menus for selecting variable MATH n
3. 13 9 Argument CONVENTIONS ues 13 10 Matrix Unc HOS o ee qo arene enik spes a it bn ba qubd 13 10 Examples 13 13 14 Lists Displaying and editing lists cccccccccesseeecceeeeeeeeeeeueeeees 14 4 DS STIS RENE A T 14 6 UN GLAS IMAM adore E 14 6 KORNO EE 14 6 Finding statistical values for list 14 9 15 Notes and sketches IG OW COM MN EE DEO 15 1 Aplet Note VIEW eren E A 15 1 Aplet sketch VIeW icai c tales MR eee eee T IUE 15 3 TOS epo eare e 15 6 iv Contents 16 Programming NERO CHUGH O aes 16 1 Program E 16 2 Creating and editing 16 4 USINO GINS NET E E EE E 16 7 CUSTOM dese sebo een cc dune eds cales etd 16 9 Aplet naming convention esses 16 10 LUN L E TE T D 16 10 Programming commandis esssssssssee eee 16 13 PDIELODEEINS ec e Rs CR DEDE 16 14 Branch commands eccesso vac re EPI UAM 16 17 Drewirndgeomiatds 55 aee 16 19 Graphic COMMONS c Cont 16 20 t ETT 16 22 Matrix commands 16 23 unes CS aa 16 25 PROMPMEOMMONGS 16 25 Stat One and Stat Two commands 16 28 Stat Two commands irs tems ure n dioe dude 16 29
4. 3 Function aplet interactive 3 9 Plotting a piecewise defined function 3 12 Parametric aplet About the Parametric aplet vio retta lenius 4 1 Getting started with the Parametric aplet 4 1 Polar aplet Getting started with the Polar 5 Sequence aplet About the Sequence 6 1 Getting started with the Sequence aplet 6 1 Solve aplet About the 7 1 Getting started with the Solve 7 2 WSS Garin NU CE TTE TOTO 7 5 Interpreting resul sss cie an Re O red 7 6 Plotting to find 0 6566 TT 7 7 Using variables in 00 7 10 Statistics aplet About the Statistics as 8 Getting started with the Statistics 8 Entering and editing statistical data 8 6 Defining a regression 8 12 E 8 13 TNR NK 8 15 PIO DIY 2 8 16 Fitting a curve to 2VAR data
5. 8 17 Setting up the plot Plot setup view 8 18 Trouble shooting a 8 18 Exploring Negra phinsean ta Lento tos 8 19 Calculating predicted values 8 20 Contents 9 Inference aplet About the Inference 9 Getting started with the Inference aplet 9 Importing sample statistics from the Statistics aplet 9 4 ml Tere MEMENTO E 9 8 GN OS Z eS uiocotioeteiuodeston teet e inco Face 9 8 9 9 One Proporlien Z 9 10 TWO PPO DORON 21 SS ostio tas count undi Ode eO 9 11 9 12 Db erste nra RN 9 14 menal Om 9 15 9 15 epos erro 9 16 One 2 9 17 Two Proportion Z lInterval aided 9 17 One Sample T Interval 9 18 TwoSample T4nteryal e 23 m tecta eb 9 19 10 Using the Finance Solver Calculating Amorllzalloris dono cebat e e ua ed exte ads 10 7 11 Using mathematical functions Matn TunehonS Lee essct 11 1 TE MATH GTN U dud sd uev seite toe et iad cinta ions 11 1 Math functions by category eat as 11 2
6. 52 45 64 EBENEN RR The symbol is in the CHARS menu press CHARS The sign is listed in the MATH menu under Symbolic functions Using mathematical functions Symbolic You can perform symbolic operations in the Function calculations in the aplet s Symbolic view For example to find the derivative Function aplet 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 on page 1 1 22 for an example Finding derivatives The hp 39g can perform symbolic differentiation on some functions There are two ways of using the hp 39g 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 Enter the differentiation function onto the command line substituting S1 in place of x d dx ALPHA 51 SEN si ALPHA S1 0 52 5 5127 2 055177 ALPHA S 0 DJ 2 Evaluate the fu
7. means to press the 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 HOME 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 4 to scroll in the HOME display This user s guide contains images from the hp 39g and do not display the 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 OL Alpha in effect for next keystroke To cancel press ALPHA again e Low battery power x Busy gt gt Data is being transferred via infrared or cable Menu keys api calculator CA TN Menu Key 1 Labels Menu Keys TE C9 C SYMB PLOT NUM Aplet C
8. 1 10 Selling 1 12 Aplels E lessOns 1 12 Aplet IDEE 1 16 ApIeE VIEWS 1 16 Aplet view Contiguration cccccceccccceeseeececesseeeeceesseeees 1 18 Mathematical 1 19 Using frachion ETE E UT 1 25 Complex Numbers idco aes tuia 1 29 Catalogs and edallgfs asusta 1 30 2 and their views PICT VIC WS 2 1 About the Symbolic dene utes 2 1 Defining an expression Symbolic view 2 1 EVGIWCIING CX OrESSIONS serrate isaac onload ts eee 2 3 About ING POI WiC W 2 5 Setting up the plot Plot view 2 5 Exploring The drapli sse Sa oid ees 2 7 Other views for scaling and splitting the graph 2 14 About the numeric view eessssseeee 2 16 Setting up the table Numeric view setup 2 17 Exploring the table of 2 18 Building your own table of 2 19 Build Your Own menu 2 20 ExGmple ploning oes eon ceu tH D be tus 2 2 Contents i Function aplet Aboubhie Fncllen aplel e ues 3 1 Getting started with the Function
9. FALLS NN Note The VARS menu can 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 3 Variables and memory management Display the List Catalog LIST lo select L1 Enter the data for L1 EDIT INS ooo o Return to the List Catalog to create L2 SEIFT UST v to select L2 LIST CATALOG EDIT zEND RECV 12 5 4 Enter data for L2 EWT IHE 5 Press to access HOME 6 Open the variable menu and select L1 w v e ELTE STIS STRE PITE GTTEON 7 Copy it to the command line Note Because the REE option is highlighted variable s name rather than its contents is copied to the command line FUNCTION Li Eme oL 8 Insert the operator and select the L2 variable from the List variables a SEI FUNCTION GG os 9 Store the answer in List catalog L3 variable EEES ALPHA 3 SARAD 143 1238 175 155 1473 FUNCTION Note You can also type list names directly from the keyboard TO 12 6 Variables and memory management Home variables not possible to store data of one type
10. The expression Fit2 shows that the slope 1 98082191781 and the y intercept 2 2657 38H82181781 z 253r 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 The relative error is a measure of the error between predicted values and actual values based on the specified 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 HINT 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 the plot Plot setup view Plot type 1VAR Histogram width Histogram range Plotting mark 2VAR Connected points 2VAR The Plot Setup view SHiFT SETUP PLOT sets most of the same plotting parameters as it does for the other built in aplets See Setting up the plot Plot view setup 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 GEE to
11. Fac 3 7 3 3 Analyse graph with FCN functions Display the Plot view menu 200M GOTO 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 Move the cursor to the graph of the quadratic quadratic function To find the 11 intersection of the two functions 3 4 equation by pressing 4 or key Then move the cursor so that it is near x 1 by pressing the gt or key Intersect ion Slope ASigned area Extremum 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 585780643763 MEM Find the intersection of the two functions M Function aplet 12 Choose the linear function whose intersection with the quadratic function you wish to find The coordinates of the intersection point are displayed at the bottom of the screen I SECT 1 87 Note If there is more than one intersection
12. IHF STAT HUMERIC SETUP 255 461 mimm ix wer re n Se ianple neun EDIT 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 C1 is displayed by default the statistics rar importing them into the Numeric Setup view IMPORT SAMPLE STATS a2 n ex SEN COLUNN Stat inport data co Lunn Also if there is more than one aplet based on the Statistics aplet you are prompted to choose one Specify a 90 mess STAT NUMERIC SETUP RER se 00744254602 c 99 guple neun EDIT HELP IFAPRT confidence interval in the C field v v v to move to Ihe C field 0 9 STAT MUMERIC SETUP SERERE 2944254605 n Ch ao SOHple neun EDIT HELP IFHPET 12 Display the confidence interval in the Numeric view Note The interval setting is 0 5 NUM IMF VIEH 9 Critical T i2 Bi5848 gp 3469614 p 378156 13 Display the confidence interval in the Plot view You can see from the second text row that the 2 01504H T 2 015048 3469614 aT A 0186 a mean is contained within the 90 confidence interval CI of 0 34698 14 to 0 8370186
13. 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 Test 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 ml m2 On the basis of statistics from two samples each from a different 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 112 You select one of the following alternative hypotheses against which to test the null hypothesis Inference aplet H n lt T gt T H T zT 9 11 Inputs Results The inputs are Field name Definition X1 Sample 1 mean X2 Sample 2 mean nl Sample 1 size n2 Sample 2 size a Significance level The results are Result Description Test 11 22 Difference between the proportions of successes in the two samples Test Z Z lest statistic Prob Probability associated with the Z Test statistic Critical Z Boundary values of Z associated with the level that you supplied One Sample T Test Menu name T Test T
14. 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 x l yl x2 y2 Example TLINE 0 0 3 3 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 16 20 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 Stores the current display in graphicname DISPLAY graphicname Programming DISPLAY GROB GROBNOT GROBOR GROBXOR MAKEGROB PLOT gt Programming 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 39g creates a graphic display like that created by the SHOW operation GROB graphicname expression fontsize Replaces graphic in graphicname with bitwise inverted graphic G
15. 0 and IH menu keys to assist in the entry of equations SERRE SEQUENCE SYMEDLIC VIEH ZERESEE vIici 1 vIicz5 1 at Hie In Plot Setup first set the SEQPLOT option to Stairstep Reset the default plot settings by clearing the Plot Setup view SHIFT SEPUP PLOT SEGUEMCE PLOT zETUP sEGPLUT Stairstep 2 a gt 8 ENTER MN 10 6 EMTER MINIMUM VERTICAL VALUE gt 8 ENTER Plot the Fibonacci sequence M l 1M 1 In Plot Setup set the SEQPLOT option to Cobweb SHIFT SETUP PLOT Sequence aplet Display the table Sequence oplet BITTE Select Cobweb 6 Display the table of values for this example NUM H 1 1 1 6 3 Solve aplet About the Solve aplet The Solve aplet solves an equation or an expression for its unknown variable You define 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 e An equation contains an equals sign Its solution is a value for the unknown variable that makes both sides have the same value e An expression does not contain an equals sign Its solution is a root that is a value for the unknown variable that makes the expression have a value of zero You can use the Solve a
16. ET ES REN EA You can change the scales of the x and y axes graph resolution and the spacing of the axis ticks i Display plot settings SHIFTJ SETUP PLOT FUMCTIOM PLOT SETUP 5 2 3 1 tha STICK TICE 1 RE Detail ENTER MINIMUM HORIZOHTAL VALUE EDIT 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 CLEAR to restore the default values Specify a grid for the graph FUNCTION PLOT SETUP y SIMULT IN CROSS gt v v Ease y CONNECT LABELS v AES 419 DERE GRID w CHE amp PAGE Plot the functions R 0 FICK 1 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 14 for a description of Auto Scale Select Auto Hw FiFlot Detail Scale H3 vFz Plot Table Overlay Plot Fe 7 Trace the linear function 41 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
17. Inference aplet 9 17 Field name Definition Continued nl n2 Sample 1 size Sample 2 size Confidence level Results The results are Result Description Critical Z Min Max Critical value for Z Lower bound for the difference between the proportions of successes Upper bound for the difference between the proportions of successes One Sample T Interval Menu name TNT This option uses the Student s t distribution to calculate a confidence 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 x1 Sx Sample mean Sample standard deviation Sample size Confidence level Inference aplet Results The results are Result Description Critical T u Min u Max Critical value for T Lower bound for u Upper bound for Two Sample T Interval Menu name T INT u1 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 s2 are unknown Inputs The inputs are Field name Definition X1 X2 s1 s2 ni n2 e Booled Sample 1 mean Sample 2 mean Sample 1 standard deviation Sample 2 standard
18. NUM SOLVE MUMERIC VEH 30 ENTE 2 ENTER i EMTER VALUE PRE ZDLVE v 4 ENTER EDIT INFO DEFN 3DLVE 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 T 2 the plot will produce two graphs one for Y X and one for X VxT AxT 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 HAAG 6 5 5 2 ENTER YENG 23 v 5 35 m m RE Detail ENTER EMTER HORIZONTAL TICK SPACING EDT PAGEF 4 Plot the graph Solve aplet 5 Move the cursor near the positive right side intersection This cursor value will be an initial guess for T Press gt until the cursor is at the intersection The two points of T 3 4 E1 30 MHENU 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 view SOLVE MUMERIC VIEH A n Mu T 4 3 NUM ENTER VALUE 06 PRESS SOLVE EDIT INFO I Ee Note the T value is filled in with the position of the cursor from the Plot view 7 Ensure that the T v
19. Press to plot the functions Press 4 or to position the cursor at the starting point of the area you want to shade Press Press 291 then select Signed area and press Press ff choose the function that will act as the 8 Press the 4 or gt key to shade in the area Press 85 to 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 3 12 1 Open the Function Suppose you wanted to plot the following piecewise defined function X2 Uu E fersi 4 2 aplet FUNCTION SYMBOLIC VIEH See Select Function EXE TX TH so RR eee 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 El 2 D zs SYMEOLIC on MP LCHISCH 29 CHZ 12 CHARS AND F3CHOEC4 Maz CR 13 20 iar SHIFT CHARS gt C 1 AND SHIFT CHARS lt 1 0 04 CJB 0 3 CHARS gt 1 D FICK UNDEFINED ZI Note You can use the Ei menu key to assist in the entry of equations It has the same effect as pressing X18 Function aplet Parametric aplet About the Parametric aplet The Parametric aplet allows you to explore parametric e
20. 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 again 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 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 ViewNumber 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 ap
21. Limiting Warranty Europe Asia Pacific Country Austria Belgium Denmark Eastern Europe countries Finland France Germany Greece Holland Italy Norway Portugal Spain Sweden Switzerland Turkey UK Czech Republic South Africa Luxembourg Other European countries Country Telephone numbers 43 1 360277 1203 13227126219 45 8 2332844 420 5 41422523 35 89640009 33 1 49939006 49 69 95307 103 420 5 41422523 3 1 2 06545301 39 02 754 19782 47 63849309 35 1 229570200 34 9 1 5 642095 46 851992065 41 1 4395358 German 41 22 8278780 French 39 02 754 19782 Italian 420 5 41422523 44 207 4580161 420 5 41422523 27 11 2376200 32 2 7 126219 420 5 41422523 Telephone numbers 61 3 9841 521 1 6 1 3 9841 521 1 L America N America Country Argentina Brazil Mexico Venezuela Chile Columbia Peru Central America amp Caribbean Guatemala Puerto Rico Costa Rica Country Telephone numbers 0 810 555 5520 Sao Paulo 3747 7799 ROTC 0 800 15775 1 Mx City 5258 9922 ROTC 01 800 472 6684 0800 4746 8368 800 360999 9 800 1 14726 0 800 10111 1 800 711 2884 1 800 999 5105 1 877 232 0589 0 800 01 1 0524 Telephone numbers 1800 HP INVENT 905 206 4663 or 800 HP INVENT ROTC Rest of the country Please logon to http www hp com for the latest service and support information Limiting Warranty Regulatory informatio
22. 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 39g hypothesis tests use the Normal Z distribution or Student s t distribution to calculate probabilities One Sample Z Test Menu name Inputs 9 8 Z Test 1 u On the basis of statistics from a single sample 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 u You select one of the following alternative hypotheses against which to test the null hypothesis lt gt gt 7 MW The inputs are Field name Definition x Sample mean n Sample size Uo Hypothetical population mean o Population standard deviation Significance level Inference aplet Results The results are Result Description Test Z Z test statistic Prob Probability associated with the Z lest statistic Critical Z Boundary values of Z associated with the level that you supplied Critical Boundary values of x required by the value that you supplied Two Sample Z Test Menu name Z T
23. The hp 39g has an internal numeric representation for these constants Natural logarithm base Internally represented as 2 1828182846 e Imaginary value for 1 the complex number 0 1 Maximum real number Internally represented as 9 99999999999 10477 MAXREAL Minimum real number Internally represented as 1107 MINREAL Internally represented as 3 14159265359 T Hyperbolic trigonometry ACOSH ASINH ATANH COSH SINH The hyperbolic trigonometry functions can also take complex numbers as arguments Inverse hyperbolic cosine cosh x ACOSH value Inverse hyperbolic sine sinh x AS INH value Inverse hyperbolic tangent tanh7 x ATANH value Hyperbolic cosine cosH value Hyperbolic sine sINH value Using mathematical functions TANH ALOG EXP EXPMI List functions Loop functions ITERATE Using mathematical functions Hyperbolic tangent TANH value Antilogarithm exponential This is more accurate than 10 x due to limitations of the power function ALOG value Natural exponential This is more accurate than due to limitations of the power function EX P value Exponent minus 1 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
24. is on the first extremum of the graph i e for the sine graph at 7 2 1 The arrow keys change the amplitude and frequency of the graph This is most easily 1 2s1nci seen by experimenting Extremum Getting started 1 15 Aplet library To open an aplet Aplet views Symbolic view 1 16 Pressing displays the equation at the top of the screen The equation is controlled by the graph Pressing the 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 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 an 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 Press to display the aplet s Symbolic view You use this view to define se Function the function s or equation s VPI CHO Ct Fog that you want to explore EDIT EVAL See About
25. 175cm 180cm 1 Open the Statistics aplet Select Statistics DE 2 Enter the measurement data 160 165 170 175 ESNCHHECGRNSENENTTCHIIE 180 ENTER Statistics aplet 8 7 8 8 3 Find the mean of the sample Ensure the menu key label reads Press statistics calculated from the sample data in c1 Nolte 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 FEE STATISTICS SYMBOLIC VIEH SER statistics window and us Ci i press key to see das the data set definitions ENTER SAMPLE CHAG 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 variable or variable expression to the edit line for editing Press when done Checks unchecks the current data set Only the checkmarked data set s are computed and plotted Typing aid for the column variables I3 or for the Fit expressions Bl Statistics aplet
26. 2 Enter the four formulas SiN ALPHA D B ALPHA ENTER 05 ALPHA D B ALPHA A 5 ALPHA ENTER TAN ALPHA 0 B SAVE APLET MAME TRENT TRIANGLES4 NEN CC NE NI SERES TRIAMIGLES SYMEOLIC VIEH 28 El SIH 83 0 H Ee COS 8 ES 3 0 A WE4iAe Be ce ALPHA ALPHA A ALPHA A x2 ALPHA B B ALPHA C ENTER 3 Decide whether you want the aplet to operate in Degrees Radians or Grads MODES WIRES Degrees CHOOSE AMGLE MEASURE 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 BPLET LIERARY XEEEEEEETR TRIANGLES Parametric HEE Funct ian Inferential Polar HEE 8 RESET Ed Se BI 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 it it forms an angle of 35 with the horizontal and extends 5 metres up the wall 1 Select the aplet TRIANGLES YMEDLIC VIEH Ses LED APLET H ES 0 A E4d iHe B2 E Z CHE 2 Choose sine formula ggg
27. Function aplet interactive analysis Access FCN variables Function aplet From the Plot view PLOT you can use the functions 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 e Extremum 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 r3x xIREnat ta Hl29437251204 3 7779 The FCN variables are contained on the VARS menu To access FCN variables in HOME zT Select Plot FCN 3 Pla Ares Filet FCH Extremum gt le Symbolic Izect or v to choose a variable To access FCN variable in the Function aplet s Symbolic view Selec 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 The 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 resu
28. 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 5 1 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 A C B Tests whether expression is linear for the specified variable Returns 0 false or 1 true LINEAR expression variable Example LINEAR X 2 1 X 1 X returns 0 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 2 81 5 29150262213 2 11 17 QUOTE where Test functions 11 18 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
29. Matrices Notes short text entries See Chapter 15 Notes and sketches Programs that you create or associated with user defined aplets See Chapter 16 n rogramming Getting started Aplets 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 Function 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 Press or v to intere E arametric p select an aplet En Dr Sequence BABKE 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 CLEAR Expressions are selected check marked on entry To deselect an expression press 919 All selected expressions are plotted Aplets and their views 2 1 For a Function definition enter an expression
30. Vertical spacing for tickmarks Those items with space for a checkmark are settings you can turn on or off Press 21933 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 Meaning CLEAR Erases the plot and axes lt uon Offers additional pre defined views for splitting the screen and for scaling Zooming the axes Moves cursor to far left or far right Jl Moves cursor between relations Interrupts plotting O Continues plotting if interrupted Aplets and their views
31. ATAN value Example ATAN 1 returns 45 Degrees mode Square Also accepts complex numbers value Example 18 returns 324 Square root Also accepts complex numbers value Example 4 324 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 2 8 returns 256 Absolute value For a complex number this is x ABS value ABS x Example ABS 1 returns 1 ABS 1 2 returns 2 2360679775 11 5 J 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 4 4 and 5 respectively as well as from the MATH menu Differentiates expression with respect to variable of differentiation From the command line use a formal name S1 etc for a non numeric result See Finding derivatives on page 11 21 9 variable expression Example 81 812 3 s1 returns 2 51 3 J Integrates expression from 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 1 1 20
32. Press any view key NUM syms PLOT VIEWS or to exit the Notes view Notes and sketches 15 1 Note edit keys 15 2 Key Meaning FACE Space key for text entry FAGET Displays next page of a multi page note CHE Alpha lock for letter entry ME Lower case alpha lock for letter entry EEEF Backspaces cursor 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 Menu for entering math operations and constants CMDS Menu for entering program commands CHARS Displays special characters To type one highlight it and press HA To copy a character without closing the CHARS screen press AN Notes and sketches Aplet sketch view 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 keys To draw a line Notes and sketches 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 AH 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 8 Toggle
33. Tracing to turn Tracing mode on default 0 Tracing to turn Tracing mode off Sets the step size for the independent variable From the Plot Setup input form enter values for TSTEP or In a program type nb 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 16 35 Xtick All Aplets Ytick All Aplets Xmin Xmax All Aplets Ymin Ymax All Aplets 16 36 Sets the distance between tick marks for the horizontal axis From the Plot Setup input form enter a value for Xtick or In a program type n Xtick where n 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 nib Xmin Xmax where gt 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 vRNG or In a program type nib Ymin Ymax where gt Programming Xzoom All Aplets
34. payments start at the end of the first period Solution The following cash flow diagram illustrates the loan calculations PV 16 500 FV 0 I6YR 5 5 N 5x12 60 P YR 12 End mode 1 2 59 60 PMT 2 Start the Finance Solver selecting P YR 12 and End payment option Enter the known variables as shown in the diagram above Your input form should look as follows ze VALUE OF GH Iz E z P AH Pit 12 FY A A End ENTER PAYMENT AMOUNT OR SOLVE EBENEN NEED e Highlighting the PMT field press the Erga 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 soft menu key The resulting value is PV 15 705 85 10 5 Example 2 Mortgage with balloon payment 10 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 6 5 PV 150 000 30x 12 360 for PMT N 10x 12 120 for balloon payment P YR 12 End mode Ballo
35. 1 20 matrices adding rows 16 23 addition and subtraction 13 6 arguments 13 10 arithmetic operations in 13 6 assembly from vectors 13 1 changing row position 16 25 column norm 13 10 comma 14 7 commands 13 10 condition number 13 10 create identity 13 13 creating 13 3 creating in Home 13 5 deleting 13 4 deleting columns 16 24 deleting rows 16 24 determinant 13 11 display eigenvalues 13 11 displaying 13 5 displaying matrix elements 13 5 dividing by a square matrix 13 7 dot product 13 11 editing 13 4 extracting a portion 16 25 finding the trace of a square ma trix 13 13 inverting 13 8 matrix calculations 13 1 multiplying and dividing by scalar 13 7 multiplying by vector 13 7 multiplying row by value and add ing result to second row 16 24 multiplying row number by value negating elements 13 8 opening Matrix Editor 16 27 redimension 16 24 replacing portion of matrix or vec tor 16 24 sending or receiving 13 4 singular value decomposition 13 13 singular values 13 13 size 13 12 spectral norm 13 12 spectral radius 13 12 start Matrix Editor 16 24 storing elements 13 3 13 5 storing matrix elements 13 6 swap column 16 25 swap row 16 25 transposing 13 13 Index variables 13 1 matrix functions 13 10 COLNORM 13 10 COND 13 10 CROSS 13 10 DET 13 11 DOT 13 11 EIGENVAL 13 11 EIGENVV 1 IDENMAT 1 INVERSE 13 1 LQ 13 11 LSQ 13 11 LU 13 11 MAKEMAT 13 11 QR 13 12 RANK 13 12 ROWNORM 13 12 RREF 1
36. 13 10 complex number functions 11 5 11 16 conjugate 1 1 7 imaginary part 11 7 real part 11 7 complex numbers 1 29 entering 1 29 maths functions 11 7 storing 1 29 confidence intervals 9 15 conjugate 1 1 7 connecting data points 8 18 variable 16 30 connectivity kit 17 4 constant error message 7 7 constants 11 8 11 8 i 11 8 maximum real number 1 1 8 minimum real number 1 1 8 program R 15 contrast decreasing display 1 2 increasing display 1 2 coordinate display 2 9 copying display 1 22 graphics 15 6 notes 15 8 programs 16 8 correlation coefficient 8 17 CORR 8 17 statistical 8 15 cosecant 11 19 cosine 1 1 4 inverse hyperbolic 11 8 cotangent 11 19 covariance statistical 8 15 creating aplet 17 1 lists 14 1 matrices 13 3 notes in Notepad 15 6 programs 16 4 sketches 15 3 critical value s displayed 9 4 cross product vector 13 10 curve fitting 8 12 8 17 D data set definition 8 8 date setting 16 26 debugging programs 16 7 decimal changing format 1 11 scaling 2 14 2 16 decreasing display contrast 1 2 definite integral 11 6 deleting aplet 17 6 lists 14 6 matrices 13 4 programs 16 9 statistical data 8 1 1 delimiters programming 16 1 derivatives Index definition of 11 6 in Function aplet 11 22 in Home 11 21 determinant square matrix 13 11 differentiation 11 6 display 16 20 adjusting contrast 1 2 annunciator line 1 2 capture 16 20 clearing 1 2 date and ti
37. 61 then M2 1 2 returns 4 1 Enter the matrix in the edit line Start and end the matrix and each row with square brackets the shifted 5 and keys 2 Separate each element and each row with a comma Example 1 21 3 41 1 3 Press to enter and display the matrix The left screen below shows the matrix 12 5 729 16 21 being stored into M5 The screen on the right shows the vector 66 33 11 being stored into M Note that you can enter an expression like 5 2 for an element of the matrix and it will be evaluated BARAL FUHCTIOH L 54 2 2 86 016 21 FMS L2 54 72313 164 211 0 10 FUHCTIDH 56 22 111KM amp 5564 334111 ECT l To store one element In HOME enter value matrixname row column For example to change the element in the first row and second column of M5 to 728 then display the resulting matrix 728 ERE ALPHA 5 91020 ENTER ALPHA 5 ENTER ARR FUACTION 1571 22 5 reo 2 94r281 L 164211 ESTE ee An attempt to store an element to a row or column beyond the size of the matrix results in an error message Matrix arithmetic You can use the arithmetic functions x 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 Example
38. 9 hypothesis alternative 9 2 inference tests 9 8 null 9 2 tests 9 2 Index i 11 8 implied multiplication 1 21 importing graphics 15 6 notes 15 8 increasing display contrast 1 2 indefinite integral using symbolic variables 11 23 independent values adding to table 2 19 independent variable defined for Tracing mode 16 32 inference confidence intervals 9 15 hypothesis tests 9 8 One Proportion Z Interval 9 17 One Sample Z Interval 9 15 One Sample Z Test 9 8 Two Proportion Z Interval 9 17 Two Proportion Z Test 9 1 1 Two Sample T Interval 9 19 Two Sample Z Interval 9 16 infinite result R 17 infrared transmission of aplets 17 5 initial guess 7 5 input forms resetting default values 1 9 setting Modes 1 12 insufficient memory R 17 insufficient statistics data R 17 integer rank matrix 13 12 integer scaling 2 14 2 16 integral definite 11 6 indefinite 11 23 integration 11 6 interpreting intermediate guesses 7 7 intersection 3 11 invalid dimension R 17 statistics data R 17 syntax R 17 inverse hyperbolic cosine 11 8 inverse hyperbolic functions 11 9 Index inverse hyperbolic sine 11 8 inverse hyperbolic tangent 11 8 inverting matrices 13 8 isect variable 16 32 K keyboard L editing keys 1 5 entry keys 1 5 inactive keys 1 8 list keys 14 2 math functions 1 7 menu keys 1 4 Notepad keys 15 8 shifted keystrokes 1 6 labeling axes 2 7 parts of a sketch 15 5 letters typing 1 6 library managing apl
39. Aplet Library menu See Aplet library on page 1 16 VIEWS 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 it the calculator is on by pressing ON Pressing then OFF turns the calculator off Accesses the function printed in blue above a key Returns to the HOME view for performing calculations Accesses the alphabetical ALPHA ALPHA characters printed in orange below a key Hold down to enter a string of characters Enters an input or executes an ENTER ENTER operation In calculations acts like When or BEIE is present as a menu key acts the same as pressing Erg O Enters a negative number To enter 25 press 25 Note this is not the same operation that the subtract button performs 5 Enters the independent variable by inserting X T 0 or N into the edit line depending on the current active aplet DEL Deletes the character under the cursor Acts as a backspace key if the cursor is at the end of the line CLEAR Clears all data on the screen On a settings screen for example Plot Setup CLEAR returns all settings to their default values Moves the cursor around the 00 W display Press first to move to Ly the beginning end top or bottom Getting started 1 5 Key Meaning Cont
40. COR Blk SCLEABMELTHETA TO ENI 2171 57 AY L CH Asni 0 9 EEs Disposal of Waste Equipment by Users in Private Household in the European Union 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 HEN designated collection point for the recycling of waste electrical and electronic equipment The separate collection and recycling of your waste 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 Limiting Warranty Index A absolute value 11 5 add 11 3 algebraic entry 1 19 alpha characters typing 1 6 alphabetical sorting 17 6 angle measure 1 10 in statistics 8 12 setting 1 12 animation 15 5 creating 15 5 annunciators 1 3 Ans last answer 1 24 antilogarithm 11 4 11 9 aplet attaching notes 17 4 clearing 17 3 copying 17 4 definition of R 1 deleting 17 6 Function 11 21 Inference 9 1 key 1 4 library 17 5 opening 1 16 Parametric 4 1 Pol
41. Comma mode uses periods dot as separators in these contexts 1 11 Setting a mode 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 The cursor highlight is WIE FIDES in the first field Angle ANGLE MEASURE i MUMEER FORMAT Fraction 4 Measure DECIMAL MARK 2 ANGLE MEASURE BITTE 1 2 Press display a cae eure list of choices aac Dear ses 4 Grads CHOOSE ANGLE MEASURE LAHEL OF 3 Press A to select Degrees and press DECIMAL MARK Dott d ma The angle measure changes to degrees CHOOSE ANGLE MEASURE RENI 4 Press return to HOME HINT Whenever an input form has a list of choices for a field you can press to 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 39g 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 17 1 e Downloaded from HP s C
42. Complex matrix 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 Use the cursor keys to move to a different row or column You can change the direction of the highlight bar by pressing 9 The menu key toggles between the following three options ipa that the cursor moves to the cell below the current cell when you press ENTER BEI specifies that the cursor moves to the cell to the right of the current cell when you press CENTER specifies that the cursor stays in the current cell when you press ENTER When done press SHIFT MATRIX to see the Matrix catalog or press to return to HOME The matrix entries are automatically stored EDIT IHF o0 Fla __ HTHMETHTR NI MATRIS CATALOG 11 151 REAL MATRIS KE HZ REAL MATRIS M3 191 REAL MATRIX 181 REAL MATRIS 151 REAL MATRIS WKE F To transmit a matrix Working with To edit a matrix Matrix edit keys 13 4 A matrix is listed with two dimensions even if itis 3x1 A vector is listed with the number of elements such as 3 You can send matrices between calculators just as
43. Key Meaning Continued Displays the current variable expression in standard mathematical form Press when done EURL Evaluates the variables in the highlighted column C1 etc expression Displays the menu for entering variable names or contents of variables MATH Displays the menu for entering math operations DEL Deletes the highlighted variable or the current character in the edit line 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 Statistics aplet 8 9 Save data 8 10 5 Move the highlight bar into the right column of the H1 definition and replace the frequency value of 1 with the name C2 H 2 STATISTICS SYMBOLIC Ci H2 H3 1 H4 1 RPLE ET IST EVAL 6 Return to the numeric view NUM 7 Enter the frequency data shown in the above table 5 5 ENTER 3 ENTER 8 ENTER 2 ENTER 1 CENTER 8 Display the computed statist
44. 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 GETKEY CHOOSE INPUT DISP MSGBOX DISPTIME PROMPT EDITMAT WAIT FREEZE Stat One DO1VSTATS SETFREQ RANDSEED SETSAMPLE Stat Two DO2VSTATS SETDEPEND SETINDEP Reference information Status messages Reference information Message Meaning Bad Argument Type Bad Argument Value Infinite Result Insufficient Memory Insufficient Statistics Data Invalid Dimension Invalid Statistics Data Invalid Syntax Name Conflict Incorrect input for this 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 there 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 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 f
45. You can create up to five explorations of two variable data named 51 to S5 In this example we will create just one S1 Specify the columns that hold the data you want to analyze SYMB STATISTICS TRMEOLIC VIEH 888 451 ce You could have entered i 1 mxx b your data into columns m b other than C1 and 2 ENTER INDEPENDENT EDIT CHE Find the mean advertising time MEANX mean sales MEANY NUM a var 51 2 EB EEEEEE MEANX is 3 3 minutes Vu ee and MEANY is about PET 1796 3 22222332333 lt e REED Scroll down to display the value for the correlation coefficient CORR The CORR value indicates how well the linear model fits the data limes The value is 8995 Bega ade aana M L LELL poem sed mE N EEREEEEERIS O C 1 8 3 Setup plot Plot the graph Draw the regression curve Display the equation for best linear fit 84 8 Change the plotting range to ensure all the data points are plotted and select a different point mark if you wish SETUP PLOT 5 7 100 4000 9 Plot the graph STATISTICS PLOT SETUP HRMG 2 168 a S1MBRK ER MR SIMARE 4 SUMARE SSMARK M CHOOSE MARK FOR SCATTER PLOT PAGE S10 11 8 1900 10 Draw the regression curve a curve
46. a value for NUMSTEP or In a program type n gt NumStep where n gt 0 Sets the 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 or In a program type n 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 FEET and EETA menu keys in Numeric View In a program store the constant name or its number into the variable StatMode 1VAR 1 2VAR 2 Example 1VAR b StatMode or 1 gt StatMode 16 41 Note variables NoteText All Aplets Sketch variables Page All Aplets PageNum All Aplets 16 42 The following aplet variable is available in Note view Use NoteText to recall text previously entered in Note view The following aplet variables are available in Sketch view Sets a page ina sketch set A sketch set can contain up to 10 graphics The graphics can be viewed one at a time using the PETE and 1983 keys The Page variable refers to the currently displayed page of a sketch set In a program type graphicname gt Page Sets a number for referring to a particular page of the sketch set in Sketch view In a program type the page that is shown when SHIFT
47. and press 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 15 5 To import a graphics variable The notepad To create a note in the Notepad You can copy the contents of a graphics variable into the Sketch view of an aplet l Open the Sketch view of the aplet suirr SKETCH The graphic will be copied here Press De Highlight Graphic then press gt and highlight the name of the variable G1 etc Press MA to recall the contents of the graphics variable Move the box to where you would like to copy the graphic then press MA 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 lt does not include notes that were created in aplets Note views but these can be imported See To import a note on page 15 8 l Display the Notepad catalog NOTEPAD Create a new note Enter a name for your note MYNOTE DIS MOTE CATALOG 8 ENTER FOR WEH MOTE Aine CANEL O MAME MYNOTE Donee SZ Notes and sketches Notepad Catalog keys Notes and sketches 4 Write your note See Nol
48. and MaxX Datasetname can be H1 H2 or H5 Datasetname must include at least two data points DO1VSTATS datasetname 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 integer SETFREQ datasetname column Or SETFREQ definition value Sets datasetname sample according to column Datasetname can be H1 H5 and column can be CO C9 SETSAMPLE datasetname column Stat Two commands DO2VSTATS SETDEPEND SETINDEP Programming Calculates STATS using datasefname and stores the results in corresponding variables MeanX X XX2 MeanY XY XY2 XXY Corr PCov SCov and RELERR Datasetname can be SI S2 or S5 Datasetname must include at least two pairs of data points DO2VSTATS datasetname Sets datasetname dependent column Datasetname can 51 S2 or S5 and column can be CO C9 SETDEPEND datasetname column Sets datasetname independent column Datasetname can be S1 S2 S5 and column can 9 SETINDEP datasetname column 16 29 Storing and retrieving variables in programs The hp 39g 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
49. and need to be enclosed in double quotes Use SHIFT CHARS to type the quote marks INPUT name title label help default 16 27 MSGBOX PROMPT WAIT Example INPUT R Circular Area Radius Enter Number 1 Displays a message box containing fextitem A text 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 IS 242 becomes AREA IS 4 Use SHIFT CHARS to type the quote marks MSGBOX lextilem Example lb A MSGBOX AREA IS 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 type AREA IS ENTER The position line MSGBOX NoteText T A 2 will display the same message box as the previous example Displays an input box with name as the title and prompts for a value for name name can only be one character in length PROMPT name Halts program execution for the specified number of seconds WAIT seconds Stat One and Stat Two commands 16 28 The following commands are used for analyzing one variable and two variable statistical data Programming Stat One commands DOIVSTATS SETFREQ SETSAMPLE Calculates STATS using datasetname and stores the results in the corresponding variables NX Tot Mean PVarz SVarx PSDev SSDev Q1 Median
50. column Press to move the cursor to the right column which contain the List functions select a function and press Gi Ts DF List functions have the following syntax Functions have arguments that are enclosed in parentheses and separated by commas Example 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 Lists CONCAT ALIST Lists f Decimal Mark in Modes is set to Comma use periods to separate arguments For example CONCAT L1 L2 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 list The new list has one fewer elements than list The first differences for x x are X7 X ALIST list E
51. it a couple of times 16 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 a template for another 1 Press SHIFT PROGRM to open the Program catalog 2 Press 3 Type a new file name then choose The Program Editor opens with a new program 4 Press to open the variables menv 5 Press 7 to quickly scroll to Program 6 Press gt then highlight the program you want to copy 7 Press Hama 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 send TNR press on the sending calculator and 3 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 16 8 Programming Delete
52. keyboard TODCHOFS 11 3 Calculus TOMEI ONS nudata seit 1 1 6 Complex number TUNCHONS hes aa eoi adco te p tr 11 7 S us a ais teeta heme 11 8 HyperbolicdtrigonomelEyeccutecietesi partim se CE bau ducis 11 8 FE TON IONS NE 11 9 POOP IUnclloFiS sopra teres tete nmt i mae ue ied 11 9 Marie HOME NON eet CE ALL 11 10 Polynomial MUNCH OMS nitens utere acetate at 11 10 Probability TUFICHOFNS s tetti usan ar act anis aD debe tue 11 12 Real number T ncliofis etes etie t e pee de b ee pe es 11 13 Tweosarable sldlislics s 11 16 SV IDOLE TUNC ONS buius tud 11 17 TeSETOBCIIONS ee Ee ee cere 11 18 Trigonometry functions 11 19 Symbolic CalCUIGHOMS link ile 11 20 Finding derivelliVBSssssaccncuuci ua ci ear 11 21 Contents 12 Variables and memory management TE 12 Storing and recalling 12 2 The ARS meli E 12 4 Memen 12 9 13 Matrices 10170 To RR T EO TUE 13 1 Creating and storing Matrices 0 13 2 Working with matrices cursos iouis stas aed ee 13 4 Matrix arithmetic dae ed eoa a pareti 13 6 Solving systems of linear equations 13 8 Matrix functions and commands
53. left there is a list of function names on the right The highlighted category is the current category ues MATH FUNCTIONS Tests TIFHROOT i LOCHS CAEL OK e When you press MATH 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 The categories appear in alphabetical order Press or a 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 11 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 This copies the function name and an initial parenthesis if appropriate to the edit line e Calculus Loop Complex Matrices numbers Matrices Constant Polynomial e Hyperbolic Polynom trigonometry Probability Hyperb Prob Lists Real numbers Real Math functions by category Syntax Two variable statistics Stat Two Symbolic Tests Trigonometry Trig Each function s defini
54. 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 HINT 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 Interpreting results After Solve has returned a solution press 2187 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 the value of the equation or the root of the expression is zero within the calculator s 12 digit accuracy Sign Reversal Solve found two points where the value of the equation has opposite signs but it cann
55. of a program or a note PRVAR programname PROG PRVAR nofename NOTE Prompt commands BEEP Programming Beeps at the frequency and for the time you specily BEEP frequency seconds 16 25 CHOOSE DISP DISPTIME 16 26 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 The result of the choose command is to store the number of the option chosen in a variable The syntax is CHOOSE default option number title option option option where default option number 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 Example 3 gt A CHOOSE A COMIC STRIPS COMIC STRIP DILBERT L BLONDIE CALVIN amp HOBBES BLONDIE OS 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 A is 2 2 Result A is 4 R IS 4 displayed on line 3 I EDIT HEH f EESTI Displays the current date and time DISPTIME To set
56. operation in drawing the regression line From Symbolic Setup view specify the fit in the field for STFIT S2FIT etc or In a program store one of the following constant numbers or names into a variable S1fit S2fit etc 1 Linear 2 TOGETt 3 ExpFit 4 Power 5 QuadFit 6 Cubic 7 Logist 8 User defined Example Cubic b 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 through 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 From Solve s Numeric Setup view enter a value in the second field of Number Format or In a program type n gt Digits where 0 lt lt 11 Except in the Solve aplet the value of Digits takes effect only after the current aplet is saved with a new name Until then HDigit is in effect Defines the number display format From Solve s Numeric Setup view choose Standard Fixed Scientific or Engineering in the Number Format field or In a program store the constant number or its name into the variable Format 1 Standard 2 Fixed 3 Scientific 4 Engineering 16 39 NumCol All Aplets except Statistics ap
57. or to a disk drive Receives the highlighted program from another hp 39g or from a disk drive Runs the highlighted program Moves to the beginning or end of the Program catalog Deletes the highlighted program Deletes all programs in the program catalog 16 3 Creating and editing programs Create a new 1 Press SHIFT PROGRM to open the Program catalog program 2 Press The hp 39g prompts you for a name PROGRAM ENTER FOR WEH PROGRAM Ei A program name can 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 the symbol within your program name 3 Type your program NEM PROGRAM name then press HIM When you press 88 the Program Editor opens O UK 4 Enter your program When done start any other activity Your work is saved automatically Entercommands Until you become familiar with the hp 39g 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 COMMANDS Se
58. payments poa BI PMT PMT Loan l 2 3 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 Using the Finance Solver Using the Finance Solver modes Begin mode and End mode The following cash flow diagram shows lease payments at the beginning of each period PV Copitalized value of lease PMT PMT PMT FV The following cash flow diagram shows deposits into an account at the end of each period PV As these cash flow diagrams imply there are five TVM variables N The total number of compounding periods or payments I26 YR 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 To 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 10 3 Performing TVM calculations 10 4 PMT The periodic payment amount The payments are the same amount each period and the TVM calculation assumes that no payments are skipped Payments can occur at the beg
59. ten different ways that five things can be combined two at a time Factorial of a positive integer For non integers T x 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 n r Example PERM 5 2 returns 20 That is there are 20 different permutations of five things taken two at a time 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 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 UT PC degrees value Using mathematical functions UTPF UTPN UTPT 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 nu
60. the Symbolic view on page 2 1 for further information Getting started Plot view 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 e information Numeric view Press NUM to display the aplet s Numeric view pray p 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 Plot Table view The VIEWS menu contains the Plot Table view VIEWS Select Plot Table H amp Splits the screen into the plot and the data table See Other views for scaling and splitting the graph on page 2 14 for futher information Plot Detail view The VIEWS menu contains the Plot Detail view VIEWS Splits the screen into the M and a close up See Other views for scaling and splitting the graph on page 2 14 for further information Getting started 1 17 Overlay Plot view Note view Sketch view The VIEWS menu contains the Overlay Plot view VIEWS Plots the current expression s without erasing any pre existing plot s See Other views for scaling and splitting the graph on page 2 14 for further information Press NOTE to display the aplet s note view This note is transferred with the aplet if it is sent to another c
61. 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 Programming EDITMAT FREEZE GETKEY INPUT Programming Examples 5 152000 DATE sets the date to May 15 2000 10 1500 TIME sets the time to 10 15 am Matrix Editor Opens the Matrix editor for the specified matrix Returns to the program when user presses EDITMAT matrixname The EDITMAT command can also be used to create matrices 1 Press suirr cups gt SIN 8 2 Press ALPHA M 1 and then press ENTER The Matrix catalog opens with M1 available for editing EDITMAT matrixname is a shortcut 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 Waits for a key then stores the keycode rc p in name where r is row number c is column number and p is key plane number The key planes numbers are 1 for unshifted 2 for shifted 4 for alpha shifted and 5 for both alpha shifted 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
62. the number of columns in the matrix 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 M1 To divide the two matrices M1 and M2 that you created for the previous example press the following keys ALPHA M1 FINCTIDH PES ALPHA M2 LC193 221 043 58 1 2 5 41 E74 311 invert a matrix You can invert a square matrix in HOME by typing the matrix or its variable name and pressing x ENTER Or you can use the matrix INVERSE command Enter INVERSE matrixname in HOME and press ENTER To negate each You can change the sign of each element in a matrix by element pressing before the matrix name Solving systems of linear equations Example Solve the following linear system 2x 5y rae 2 7 4 22 1 O en the Matrix ETE E d TE s CREATE catalog and create a Wo Real matrix T vector 21 uctor M pela tB Mg Complex vector jie y SHIFT MATRIX THE uk v 2 Create the vector of the 4 VECTOR constants in the linear 3 system 2 ENTER 7 ENTER EXTA NITE ESTE
63. to fit the data points This draws the regression line for the best linear fit E200 TRACS GOTO ETC ET 1 1 Return to the Symbolic view SEDE STATISTICS SYMEOLIC VEH 588895 51 Ce eee eee heres Fite mtatb ENTER INDEPENDENT EDIT CHE C HOH EVAL 12 Display the equation for the best linear fit v to move to the FIT1 field The full FITI expression is shown 425 87 2 RtS 76 25 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 fia HOME MATH S to highlight Stat Two gt 4 to highlight PREDY Em 6 ENTER 14 Return to the Plot view STATIETICS FRED Y 655 2951 5 EAT DE 12070 FIT m EFH 15 Jump to the indicated point on the regression line v Ead 6 IS Observe the predicted y value in the left bottom corner of the screen Statistics aplet wh PRED 2H31 h 8 5 Entering and editing statistical data HINT 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 A data column must have at least four data
64. 1 11 roots 11 11 Taylor 11 7 polynomial functions POLYCOEF 11 10 POLYEVAL 11 11 POLYFORM 11 11 POLYROOT 11 11 position argument 16 20 power x raised to y 11 5 splitting into plot and table 2 14 Index precedence 1 22 predicted values statistical 8 20 print contents of display 16 25 name and contents of variable 16 25 object in history 16 25 variables 16 25 probability functions 11 12 COMB 11 12 RANDOM 11 12 UTPC 11 12 UTPF 11 13 UTPN 11 13 UTPT 11 13 program commands 16 4 copying 16 8 creating 16 4 debugging 16 7 deleting 16 9 delimiters 16 1 editing 16 5 naming 16 4 pausing 16 28 printing 16 25 sending and receiving 16 8 structured 16 1 prompt commands beep 16 25 create choose box 16 26 create input form 16 27 display item 16 26 display message box 16 28 halt program execution 16 28 insert line breaks 16 28 prevent screen display being up dated 16 27 set date and time 16 26 store keycode 16 27 Q quadratic extremum 3 6 fit 8 13 function 3 4 quotes in program names 16 4 Index R random numbers 11 12 real number maximum 1 1 8 minimum 1 1 8 real part 11 7 real number functions 11 13 11 15 CHANGE 11 15 TOTAL 11 15 CEILING 11 13 DEGIoRAD 11 13 FNROOT 11 14 HMSto 11 14 INT 11 14 MANT 11 14 MAX 11 15 MIN 11 15 MOD 11 15 RADtoDEG 11 15 ROUND 11 16 SIGN 11 16 TRUNCATE 11 16 XPON 11 16 recalculation for table 2 19 receive error R 18 receiving aplet 17 5 lists 14 6 matri
65. 11 6 Open the Program catalog and create 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 5 PROGRAM Entrul EXP MET Plu Entrug p EXP MEZ 31 MEMP ANG s START EXP Shy 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 SETVIEWS 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 16 14 My Bntryl s EXP ME1 1 Sets the second menu option This option runs program EXP MET then returns to view 1 Plot view My Entry2 EXP ME2 3 Sets the third menu option This option runs the program EXP ME2 then returns to view 3 the NUM view Vl EXP S9V 0 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 progr
66. 13 6 real or complex For the next four examples store 1 2 3 4 into M1 and 5 6 7 8 into M2 1 Create the first matrix SHIFT MATRIX MA 1 ENTER 2 ENTER v 3 ENTER 4 2 Create the second matrix SHIFT MATRIX v CTE DIM 5 ENTER 6 ENTER v 7 ENTER 8 ENTER mi 1 2 me EDIT IMS 50 IMS 50 Matrices To multiply and divide by a scalar To multiply two matrices To divide by a square matrix Matrices 3 Add the matrices that m you created FUNCTION 1 LE6481 E18 1211 ALPHA M2 sre T 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 ENTER FUMCTIOM CO6 8 016 1211 Ans 2 CCS 4 5 6 To multiply the two matrices M1 and M2 that you created for the previous example press the following keys ALPHA Ml x ALPHA M oe FUNCTION EE 2 3 41 E5 611 1 To multiply a matrix by a L19 221 43 581 lor enter the matrix vector enter the MN first then the vector The number of elements in the vector must equal
67. 2 and the 0 8 F 1 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 One variable statistics The left whisker marks the minimum data value The box marks the first quartile the median where the cursor is and the third quartile m f H H H1 MED 13 The right whisker marks the maximum data value The numbers below the plot mean that this column has a median of 13 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 SEL 11 1 HEHU Statistics aplet 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 20 1kl 6 Fitting a curve to 2VAR data Correlation coefficient Relative Error Statistics aplet In the Plot view press fig This draws a curve to fit the checked two variable data set s See To choose the fit on page 8 12 STATI 3 FIT 4 S20 111 6 STATISTICS SYMBOLIC ZEE 51 61 Cz Fiti 2 1219395121951 S2 L3 C4 Fitz SIRES Bed as ee EMTER USER DEFINED FIT EMT CHE A SHO EVAL
68. 2 identity matrix 1 0 0 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 O when the row number and J the column number are equal and returns 1 when they are not equal 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 EE 214 Dd ls 13 13 Reduced Row The following set of equations x 2 3z 14 Echelon Form 2 2 3 can be written as augmented matrix 1 2 3 14 2 1 1 3 4 2 2114 which can then stored as a 3 x4 real matrix in any matrix variable M1 is used in this example EDIT IHS ETT RENE You can use the RREF ZHN function to change this to reduced row echelon form RREF Mi2kM storing it in any matrix e eee variable M2 is used inthis prs example FUNCTION 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 inf
69. 2 7 Trace 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 ZIXZII turns them back Pressing once displays the full row of labels Pressing MANT a second time removes the row of labels to display only the graph Pressing IEE 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 DATA Opens an 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 rootfinding functions see Analyse graph with FCN functions on page 3 4 EFM Displays the current defining expression Press WET 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 beyon
70. 20210394 To recall a variable s value type the name of the variable and press ENTER ALPHA A zT FUNCTION aalirrb You can use variables in calculations The calculator substitutes the variable s value in the calculation 65 ALPHA A Variables and memory management zT 331841 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 first letter in the category to select a variable category For example to select the Matrix category press D Program 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 the M2 variable press w v HOH m APLETIHAH m VRLUEICHMCL OF 12 4 Variables and memory management Example 5 Choose whether to place the variable name or the variable value on the command line Press REH to indicate that you want the command line The selected object appears on the command line FUNCTION
71. 3 12 SCHUR 13 12 SIZE 13 12 SPECNORM 13 12 SPECRAD 13 12 SVD 13 13 SVL 13 13 TRACE 13 13 TRN 13 13 maximum real number 1 22 11 8 memory R 17 clearing all R 3 organizing 12 9 out of R 18 saving 1 25 17 1 viewing 12 1 menu lists searching 1 8 minimum real number 11 8 modes angle measure 1 10 decimal mark 1 11 number format 1 11 multiple solutions plotting to find 7 7 multiplication 11 3 implied 1 21 3 11 3 11 N name conflict R 17 naming programs 16 4 Index natural exponential 11 3 11 9 natural log plus 1 11 9 natural logarithm 11 3 negation 11 5 negative numbers 1 20 no equations checked R 18 Normal Z distribution confidence in tervals 9 15 note copying 15 8 editing 15 2 importing 15 8 printing 16 25 viewing 15 1 writing 15 1 Notepad 15 1 catalog keys 15 7 creating notes 15 6 writing in 15 6 nrng 2 6 nth root 11 6 null hypothesis 9 2 number format engineering 1 11 fixed 1 11 fraction 1 11 in Solve aplet 7 5 scientific 1 11 Standard 1 11 numeric precision 12 9 Numeric view adding values 2 19 automatic 2 17 build your own table 2 19 display defining function for col umn 2 18 recalculating 2 19 setup 2 17 2 19 off automatic 1 1 power 1 1 on cancel 1 1 One Proportion Z Interval 9 17 One Sample T Interval 9 18 One Sample T Test 9 12 One Sample Z Interval 9 15 One Sample Z Test 9 8 order of precedence 1 21 overlaying plots 2 16 4 3 P nr 11 8 paired columns 8 11
72. 9 U4 UO U5 Numeric Digits NumRow Format NumStart NumCol NumStep NumFont NumType NumIndep NumZoom Note NoteText Sketch Page PageNum Reference information Solve aplet variables The solve aplet variables are Reference information 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 E2 E8 E3 E9 E4 EO E5 Numeric Digits NumCol Format NumRow Note NoteText Sketch Page PageNum R 11 Statistics aplet variables The statistics aplet variables are R 12 Category Available name Plot Axes S4mark Connect S5mark Coord StatPlot Grid Tracing Hmin Xcross Hmax Ycross Hwidth Xtick Indep Ytick InvCross Xmin Labels Xmax Recenter Ymin Simark Ymax S2mark Xzoom S3mark Yxoom Symbolic Angle S3fit S1fit S4fit S2fit S5fit Numeric C0 C9 NumFont Digits NumRow Format StatMode NumCol Stat One MaxX Q3 MeanX PSDev Median SSDev MinX PVarX NX SVarX Q1 TotX Stat Two Corr X2 Fit MeanX y MeanY Y2 RelErr Note NoteText Sketch Page PageNum Reference information Math functions Reference information MATH menu categories The math functions are Category Available name Calculus B J TAYLOR Complex ARG IM CONJ RE Constant e MAXREAL MINREAL TU Hyperb ACOSH TANH ASINH ALO
73. DDCOL ADDROW Programming 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 16 23 DELCOL DELROW EDITMAT RANDMAT REDIM REPLACE SCALE SCALEADD 16 24 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 specitied matrix If used in programming returns to the program when user presses EDITMAT name 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 siz
74. G ATANH EXP COSH EXPM1 SINH LNP1 List CONCAT REVERSE ALIST SIZE MAKELIST YXLIST TEIST SORT POS Loop ITERATE RECURSE R 13 R 14 Category Available name Continued Matrix COLNORM OR COND RANK CROSS ROWNORM DET RREF DOT SCHUR EIGENVAL SIZE EIGENVV SPECNORM IDENMAT SPECRAD INVERSE SVD LO 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 t FNROOT CHANGE FRAC TOTAL HMS RAD DEG HMS ROUND INT SIGN MANT TRUNCATE MAX XPON Sta Two PREDX PREDY Symbolic QUAD ISOLATE QUOTE LINEAR Reference information Category Available name Continued Tests T AND IFTE NOT XOR X gt 2 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 Cubic ExpFit Logist Power User StatMode StatlVar Stat2Var StatPlot Hist BoxW Reference information R 15 Program commands The program commands are R 16 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
75. MSTART and NUMSTEP Changes intervals for the independent variable to 1 unit Starts at zero Shortcut to changing NUMSTEP Aplets and their views Option Meaning Continued Trig Changes intervals for independent variable to 7 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 H 075 i l 09984394 l 0998444 l85 ig B6 a LABAG 15 1494381 3 20955000 a i a 3 98334166468E 2 3 98334166468E 2 eoo mern Eeo 1 Dern HINT 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 Automatic You can enter any new value in the X column When you recalculation press the values for the dependent variables are recalculated and the entire table is regenerated with the same interval between X values Building your own table of numbers The default NUMTYPE is Automatic which fills the table with data for regular intervals of the independent X T 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 dependent values are then calculated and displayed Build a table 1 Sta
76. NCTION 54000507 28070 FURIA EA Note Ensure you are in the HOME view Evaluate the calculation g r eH FUNCTION reo zT To convert a decimal value to a fraction d Set the number format mode to Fraction Either retrieve the value from the History or enter the value on the command line 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 ensure that you include more than six decimal places in the recurring decimal that you enter In this example the m mE fraction precision is set 66666666 M to 6 The top 6666 calculation returns the 32382275888 correct result The sre TDI bottom one does not 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 In this example the sm FUNCTION o 25 fraction precision is set La to 6 625 is ELE NN RENE RENE RUNI Getting started Complex numbers Complex results To enter complex numbers Storing complex numbers Getting started The hp 39g can return a complex number as a result for some math functions A complex number appears as an ordered pair x y where x is the real part and y is the imaginary part For
77. Overlay Plots the current expression s Plot without erasing any pre existing plot s 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 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 Aplets and their views Option Meaning Continued Trig aplets Rescales horizontal axis so 1 pixel 2x 24 radian 7 58 or 8 4 grads rescales vertical axis so 1 pixel 2 0 1 unit Not in Sequence or Statistics Split the screen of the plot l The Plot Detail view can give you two simultaneous views Press VIEWS Select Plot Detail and press BIB The graph is plotted twice You can now zoom in on the right side Press HER EDDIE select the zoom method and press 9 or This zooms the right side Here is an example of split screen with zoom In The Plot menu keys are available as for the full plot for tracing coordinate display equation display and so on 4 moves the le
78. R NETTEN NINE NNI 1 ENTER 3 Return to the Matrix CATALOG SESEEETE Catalog 2 151 REAL MATRIS 181 REAL SHIFT MATRIX 141 REAL MATRIX REAL JSMEKE Y In this example the CHEME vector you created is listed as M1 13 8 Matrices 4 Create a new matrix m v Me Select Real matrix Me Eon e eigo m DIS Enter the equation coefficients 2 3 A ENTER v IMs 1 ENTER 1 ENTER C3 1 ENTER 4 ENTER 1 CENTER 2 ENTER In this example the matrix you created is listed as M2 Return to HOME and enter the calculation to left multiply the constants vector by the inverse of the coefficients matrix ALPHA M2 FARAD FUMCTIOM _ x x 2 1 1 2434 21 ALPHA MT O J O The result is a vector of the solutions e 2 e y 3 An alternative method is to use the RREF function See RREF on page 13 12 Matrix functions and commands About functions Matrices 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 HOME as well as in programs About commands Functions always produce and display a result They do not change any stored variables such as a matrix variable Function
79. ROBNOT graphicname Using the logical OR superimposes graphicname2 onto graphicname The upper left corner of graphicname2 is placed at position GROBOR graphicname 1 position graphicname2 Using the logical XOR superimposes graphicname2 onto graphicname The upper left corner of graphicname2 is placed at position GROBXOR graphicname 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 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 bPageNum PLOT 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 16 21 PLOT Puts graph from graphicname into the Plot view display PLOT graphicname REPLACE Replaces portion of graphic in 1 with graphicname2 starting at position REPLACE also works for lists and matrices REPLACE graphicname 1 position graphicname2 SUB 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 po
80. S 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 errors 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 Limiting Warranty Service
81. SKETCH is pressed n gt PageNum Programming 17 Extending aplets Aplets are the application environments where you explore different classes of mathematical operations You can extend the capability of the hp 39g 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 39g calculators via an infra red link Download e lessons teaching aplets from Hewlett Packard s Calculator web site e Program new aplets See chapter 16 Programming for further details Creating new aplets based on existing aplets Example Extending aplets 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 17 1 17 2 1 Open the Solve aplet and save it under the new name Solve ALPHA TRIANGLES
82. See List functions on page 14 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 11 9 RECURSE 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 term term Example RECURSE U U N 1 N 1 2 U1 N Stores a factorial calculating function named U1 When you enter U1 5 for example the function calculates 5 120 x Summation Finds the sum of expression with respect to variable from initialvalue to finalvalue variable initialvalue finalvalue expression Example X C 1 5 C returns 55 Matrix functions These functions are for matrix data stored in matrix variables See Matrix functions and commands on page 13 9 Polynomial functions Polynomials are products of constants coefficients and variables raised to powers ferms POLYCOEF 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 represent
83. Storing and retrieving variables in programs 16 30 Plot view varidbles ote Dre e Deed e Lt Re tt 16 30 Symbolic view variables 16 37 Numeric view 16 39 ee el dic E ETE E E 16 42 Skelchiyardbles esed escis desine v aia seesaw 16 42 17 Extending aplets Creating new aplets based on existing aplets 17 Using a customized 17 3 RESET SCN 17 3 Annotating an aplet with notes 17 4 Annotating an aplet with sketches 17 4 Downloading e lessons from the 17 4 Sending and receiving aplets 17 4 Sorting items in the aplet library menu list 17 5 Contents v Reference information eet R Reselfing the NDS aaa chase diat R 3 To erase all memory and reset defaults R 3 If the calculator does not turn R 4 DSTI Ko SS TENE tae antes cate N R 4 eniro R 4 ane ee ee renee eee ere Pe eee ete E R 6 Hore aou dm ose uiis dits Cou DU T o aO DOE R 6 Function aplet variables R 7 Parametric aplet
84. TEIT3 to start the roottinder press any key except ON You will see two intermediate guesses and to the left the sign of the expression evaluated at each guess For example 2 2 219330555745 121 31111111149 You can watch as the 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 tind or multiple solutions Consider the equation of motion for an accelerating body 2 X Wret 7 7 8 where X is distance Vo is initial velocity T is time and A is acceleration This is actually two equations Y X and 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 EERIE ALPHA X B ALPHA V x E3 EA ALPHA ES EDIT ALPHA A 2 Find the solution for T time when 30 V 2 and 4 4 Enter the values for X V and 4 then highlight the independent variable 7
85. TSTEP specifies the step value between f values Set the TRNG and TSTEP so that t steps from O to 360 in 5 steps gt 360 89 5 9 Plot the expression PARAMETRIC PLOT SETUP TRANG ae 5 BENG 5 5 YRNG 3 1 3 2 ENTER MINIMUM HORIZONTAL VALUE HT NL RET TCR T 00 9 To see all the circle press 1911 twice Parametric aplet Overlay plot Display the numbers Parametric aplet 8 9 Plot a triangle graph over the existing circle graph sHIFT PLOT PARAMETRIC PLOT SETUP TENG 6 120 Wa YRMG 5 1 3 2 EMTER MINIMUM HORIZONTAL VALUE EDIT PAGE F VIEWS Select Overlay Plot EMU ST TI 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 value type in a EE replacement value and see the table jump to that value You can also zoom in or zoom out on any value in the table build your own table and split screen functionality availablfe in the Fun
86. Yzoom All Aplets 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 Sets the vertical zoom factor From Plot ZOOM Set Factors enter the value for YZOOM or In a program type n b YZOOM Symbolic view variables Angle All Aplets F1 F9 Function X1 1 X9 Y9 Parametric 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 gt Angle for Radians 3 gt Angle for Grads Can contain any expression Independent variable is X Example SIN X b F1 X You must put single quotes around an expression to keep it from being evaluated before it is stored Use 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 b KL AT 16 37 R1 R9 RO Polar U1 U9 UO Sequence E1 E9 EO Solve S1fit S5fit Statistics 16 38 Can contain any expression Independent variable is Example 2 SIN 2 0 gt R1 0 Can contain any expression Independent variable is N Example RECURSE U U N 1 N 1 2 b U1 N Can contain any equation or expression Independent variable is selected by highlighting it in Numeric View Example X Y X 2 Y b El Sets the type of fit to be used by the FIT
87. a 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 delete then press DEL 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 suirr PROGRM to open the Program catalog Highlight a program then press ssi 2 Press suiFT CLEAR then press gizi 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 a
88. able 2 20 Aplets and their views Example plotting a circle Plot the circle 2 y 9 First rearrange it to read y 49 To plot both the positive and negative y values you need to define two equations as follows y 49 x and y J9 x 1 In the Function aplet specify the functions Select Function Enn 09 C DJ 09 8 0 FUNCTION SYMEOLIC VIEH SERERE 9 2 I 109 52 2 47 4 gt 2 EPI HOH EVAL 2 Reset the graph setup to the default settings SHIFT SETUP PLOT SHIFT CLEAR 3 Plot the two functions and hide the menu so that you can see all the circle PLOT GERM FUNCTION PLOT SETUP 6 5 RAG 3 1 ae STICK 1 KES Detail ENTER MINIMUM HORIZONTAL VALUE EDIT PRaETY 4 Reset the numeric setup to the default settings SETUP NUM SHIFT CLEAR Aplets and their views ESSE MUMERIC SETUP MUMS TART MUMSTEP 1 MUMTYPE Automatic MUMZO0K ENTER STARTING VALUE FOR TAELE RR 5 Display the functions in numeric form NUM Aplets and their views 2 22 Function aplet About the Function aplet The Function aplet enables you to explore up to 10 real valued rectangular functions y in term
89. alculates the number of elements in a list SIZE list Also works with matrices XLIST Calculates the sum of all elements in list EELIST list Example YLIST 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 L1 1 Create L1 with values 88 90 89 65 70 and 89 GHFT 88 0 90 0 89 0 65 0 700 89 ALPHA 11 Lists SIR RD STATISTICS 96 B3 bas 78 0911 RN STATISTICS 6 1 3 Arn Cred 5106 P9215 42295 14 9 14 10 2 In HOME store L1 into C1 You will then be able to see the list data in the Numeric view of the Statistics aplet ALPHA Ea RAD STATISTICS ALPHA LT 35 99 55 ESI ALPHA C pu S166 7221 4225 5 T55 595 Estoe 3 Start the Statistics aplet and select 1 variable mode press if necessary to display grim Select Statistics oo EDIT IM Ela Note Your list values are now in column 1 4 In
90. alculator or to a PC A note view contains text to supplement an aplet ESPACE AZ EKSP FUMCTION MOTE HSSIBHMEHT 3 DUE 464 See Notes and sketches on page 15 1 for further information Press SKETCH to display the aplet s sketch view Displays pictures to GIVEN supplement an aplet aT Ral AND 1 Rh E AND C See Notes and sketches on page 15 1 for further information Aplet view configuration Plot Setup You use the sETuP keys SHIFT PLOT and NUM to configure the aplet For example press SETUP PLOT 5 display the input form for setting the aplet s plot settings Angle measure is controlled using the MODES view Press SHIFT SETUP PLOT FUNCTION PLOT SETUP Sets parameters to plot a 6 5 P P TRAG y7 1255 7 5 graph 1 YTICE 1 RES Faster ENTER MINIMUM HORIZONTAL VALUE EDIT PAGE W Getting started Numeric Setup Symbolic Setup To change views To save aplet configuration Press SETUP NUM Sets FUNCTION MUMERIC SETUP parameters for building B table of numeric values NUMTYPE Automatic HUM ZOO 4 TARTING VALUE FOR TAELE EMT This view is only available in E PRENDE the Statistics aplet in EHEIZ ANGLE MEASURE it ol siFITL inear seRITt Linear mode where it plays an sarirLin
91. alculators web site 1 12 Getting started Getting started Copied from another calculator Aplets are stored in the Aplet ss ES library See Aplet library EMASE Ji Inference on page 1 16 for further AKE Polar BEE information Ba FAVE REZET SORT SEND STARTI You can modify configuration settings for the graphical tabular and 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 yin terms of x Example y 2 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 r in terms of an angle 0 Example r 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 U 0 1 and U U Solve Equations in one or more real valued variables Example x 1 x x 2 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 39g is supplied with two teaching aplets Quad Explorer and Trig Explorer You
92. aling whenever you are plotting an expression that includes trigonometric functions Trigonometric plots are more likely to intersect the axis at points factored by About the numeric view 2 16 After 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 0 or N and dependent variables Aplets and their views Setting up the table Numeric view setup Press SHIFT NUM to define any of the table settings Use the Numeric Setup input form to configure the table OE FUIMCTIUM MLPERIC SETUP ZESEE MUMS TART MUMSTEP 1 MUMTYPE Automatic MUMZOOM 4 EMTER TARTING VALUE FOR THELE 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 Ei If there is an option to choose press highlight your choice and press 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 Numeric view The following table details the fields on the Numeric settings Setup input form Field Meaning NUMSTART The ind
93. alue is highlighted and solve the equation SLE SOLVE NUMERIC a n EMTER VALUE PRESS SOLVE EDIT INFO DEF 3DLVE 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 3 0 E 50 JSF rro ME SOLVE MUMERIC MTER VALUE PRESS SOLVE EDIT INFO A DEFN 0LVE Solve aplet 7 9 Using variables in 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 types such as M1 a matrix variable All home variables other than those for aplet settings like Xmin and Ytick 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 dif
94. am with the aplet but it allows users to modify the aplet s menu if they want to 16 12 Programming nmr 0 The program EXP ANG is a small routine that is 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 START EXP S 7 This specifies the Start menu option The program that is associated with this entry EXP S 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 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 ESTER run your new aplet Programming commands This section describes the commands for programming with hp 39g You ca
95. ames contents of variables math functions and program constants CMDS Displays menus for selecting program conmmands CHARS Displays all characters To type one highlight it and press To enter several characters in a row use the mr menu key while in the CHARS menu Programming Using programs Run a program Debug a program Stop a program Programming From HOME type RUN program name or From the Program catalog highlight the program you want to run and press iii Regardless of where you 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 39g 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 hp39g 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 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 ON key Note You may have to press
96. 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 arithmetric expressions Displays a menu for entering variable names or contents of variables Aplets and their views Key Meaning Continued 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 After 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 plotted togeth
97. aplets 2 10 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 on a plot of 3sinx Plot of 3sinx 0 PACH 0 MENU Zoom In GEM In 0 PACH 0 Un zoom Un zoom Note Press A to move to the bottom of the Zoom list OOH TRACE GOTO FCM E S HEHU Zoom Out Out Now un zoom 200M HTC EE X Zoom Eel X Zoom In Now un zoom 200M LETT GOTO EDGE ET HEHU Aplets and their views 2 11 X Zoom Out Ede X Zoom Out Now un zoom ZOOM TRACE GOTO HEHU Y Zoom In Y Zoom In MA Now un zoom 200M TRACE GOTO Y Zoom Out Y Zoom Out fiw Zoom Square EE Square MA 2000 TS E DTE 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 WEA to turn on the menu key labels 2 Press and select Box 3 Position the cursor on one corner of the rectangle Press 4 Use the
98. ar Ustep Polar 16 34 Enables you to choose between simultaneous and sequential graphing of all selected expressions From Plot Setup check or uncheck _STMULT or In a program type 1 gt Simult for simultaneous graphing 0 gt Simult for sequential 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 or Box and Whisker From Plot Setup select Stat Plot then choose Histogram or BoxWhisker or In a program type 1 StatPlot for Histogram 2 gt StatPlot for Box and Whisker 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 Umin n gt Umax where n n 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 n gt 0 Programming Tmin Tmax Parametric Tracing All Aplets Tstep Parametric Xcross All Aplets Ycross All Aplets Programming 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 gt Tmax where n n Turns the tracing mode on or off in Plot view In a program type 1 gt
99. ar 5 1 receiving 17 5 resetting 17 3 sending 17 4 17 5 Sketch view 15 1 Solve 7 1 sorting 17 6 statistics 8 1 transmitting 17 5 aplet commands CHECK 16 14 SELECT 16 14 SETVIEWS 16 17 UNCHECK 16 17 aplet variables definition 12 1 12 8 in Plot view 16 30 new 12 Index aplet views canceling operations in 1 1 changing 1 19 note 1 18 Numeric view 1 17 Plot view 1 17 sketch 1 18 split screen 1 17 Symbolic view 1 16 arc cosecant 11 19 arc cosine 1 1 4 arc cotangent 11 19 arc secant 11 19 arc sine 1 1 4 arc tangent 11 5 area graphical 3 10 interactive 3 10 variable 16 30 arguments with matrices 13 10 attaching a note to an aplet 15 1 a sketch to an aplet 15 3 auto scale 2 14 axes plotting 2 7 variable 16 30 bad argument R 17 bad guesses error message 7 7 box and whisker plot 8 16 branch commands CASE END 16 18 IF THEN ELSE END 16 18 IFERR THEN ELSE 16 18 branch structures 16 17 build your own table 2 19 C calculus operations 11 7 catalogs 1 30 chronological sorting 17 6 circle drawing 15 4 clearing aplet 17 3 characters 1 22 display 1 22 display history 1 25 edit line 1 22 lists 14 6 plot 2 7 cobweb graph 6 1 coefficients polynomial 11 10 columns changing position 16 25 combinations 11 12 commands aplet 16 14 branch 16 17 definition of R 1 drawing 16 19 graphic 16 20 loop 16 22 print 16 25 program 16 4 R 16 stat one 16 28 stat two 16 29 with matrices
100. 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 12 4 Not all variables are available in every aplet S1fit S5fit 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 Plot view variables Area Function Axes All Aplets Connect Function Parametric Polar Solve Statistics 16 30 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 _ CONNECT or 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 Programming Coord Function Parametric Polar Sequence Solve Statistics Extremum Function FastRes Function Solve Grid All Aplets Hmin Hmax Statistics Programming 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 di
101. arned interest on a given principal amount is added to the principal at specified compounding periods and then the combined amount earns interest at a certain rate Using the Finance Solver 10 1 10 2 Financial calculations involving compound interest include savings accounts mortgages pension funds leases and annuities Time Value of 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 oie 8 oe uestes 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
102. as in our example the coordinates of the intersection point closest to the current cursor position are displayed To find the slope of 13 Find the slope of the quadratic function at the the quadratic intersection point function rmm Gan Select Slope The slope value is SLOPE displayed at bottom of the screen To find the signed 14 To find the area between the two functions in the area of the two range 2 lt x 1 first move the cursor to functions 1 1 and select the signed area option START 1 OK Function aplet 3 5 To find the extremum of the quadratic 3 6 17 Choose the end value 15 Move the cursor to x 1 by pressing the or 4 key DEMENS ae 16 Press HE to accept using F2 x x 3 2 as the other boundary for the integral for x 4 E 1 1 aw nk The cursor jumps to x 2 on the linear function END g CAMEL DE 18 Display the numerical value of the integral Note See Shading area on page 3 11 for another method of calculating area AREA 2 16666666666 MEM 19 Move the cursor to the quadratic equation and find the extremum of the quadratic The coordinates of the extremum are 3 g3 ZEN displayed at the bottom of the screen Function aplet HINT The Root and Extremum
103. ate 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 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 Reference information views The possible contexts for an aplet Plot Plot Setup Numeric Numeric Setup Symbolic Symbolic Setup Sketch Note and special views like split screens Resetting the hp 39g To reset using the keyboard If the calculator locks up and seems to be st
104. ates to true Its syntax is LF test clause THEN true clause END Example IF A THEN MSGBOX A EQUALS 1 END 16 17 IF THEN END CASE END IFERR THEN END 16 18 ELSE Executes the true clause sequence of commands if the test clause is true or the false clause sequence of commands it the test clause is false IF leskclause THEN rue clause ELSE false clause END Example A 1 THEN MSGBOX A EQUALS 1 ELSE MSGBOX A IS NOT EQUAL TO 1 END Executes a series of test clause commands that execute the appropriate true clause sequence of commands Its syntax is CASE IF festclause THEN true clause END IF test clausep THEN frue clause END IF festclause THEN true clause END END When CASE is executed fest 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 Many conditions are automatically recognized by the hp 39g as error conditions and are automatically treated as errors in programs IFERR THEN END allows a program to intercept error conditions that otherwise would cause the program to abort Its syntax is IFERR frap clause THEN error clause END Programming RUN Runs the named program If your program na
105. c 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 Z Horizontal axes are Test 2 3HE2054 presented for both the te 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 lt K and the test numeric results are displayed between the horizontal axes Importing sample statistics from the Statistics aplet The Inference aplet supports the calculation 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 9 4 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 IH ET eT The Statistics aplet opens in the Numeric view In the C1 column enter the random numbers produced by the calculator 0529 0295 J952 259 925 592 If the Dec
106. cannot modify configuration settings for these aplets Quad Explorer aplet HINT A great many more teaching aplets can be found at HP s web site and other web sites created by educators together with accompanying documentation often with student work sheets These can be downloaded free of charge and transferred to the hp 39g using the separately supplied Connectivity Kit The Quad Explorer aplet is used to investigate the behaviour of y a x h v as the values of a hand 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 PLET select Quad and then press apice opens in ETIN 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 Pent It is also possible to have the equation control the graph Pressing displays a LAXE sub expression of your m equation EXEC TEES RESET Pressing the gt and 4 key moves between a expressions while pressing the and v key changes their va
107. ce the results shown below ciat AMDRTIZE eerte ity eat at tg eae bert PAYMENTS 126 PRIMCIPAL INTEREST 185 98 ERLHNCE 65 497 92 EDIT To amortize a series of future payments starting at payment p 1 Calculate the balance of the loan at payment 7 2 Store the new balance in PV using the 35 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 by using after each amortization 10 8 Using the Finance Solver 11 Using mathematical functions Math functions The hp 39g 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 and programming constants The MATH menu is organized by category For each category of functions on the
108. ces 13 4 programs 16 8 redrawing table of numbers 2 18 reduced row echelon 13 12 regression analysis 8 17 fit models 8 13 formula 8 12 user defined fit 8 13 relative error statistical 8 17 resetting aplet 17 3 calculator R 3 memory R 3 result copying to edit line 1 22 reusing 1 22 root interactive 3 10 nth 11 6 variable 16 33 roottinding displaying 7 7 interactive 3 9 operations 3 10 variables 3 10 S 51 55 variables 16 33 scaling automatic 2 14 decimal 2 10 2 14 integer 2 10 2 14 2 16 options 2 14 resetting 2 14 trigonometric 2 15 scatter plot 8 15 8 16 connected 8 17 8 18 SCHUR decomposition 13 12 scientific number format 1 11 1 20 scrolling in Trace mode 2 8 searching menu lists 1 8 speed searches 1 8 secant 1 1 20 sending aplets 17 4 lists 14 6 programs 16 8 sequence definition 2 2 sequence variables Axes 16 30 Grid 16 31 in menu map R 10 Indep 16 32 Labels 16 33 Recenter 16 33 Ycross 16 36 setting date 16 26 time 16 26 sign reversal 7 6 sine 11 4 inverse hyperbolic 11 8 singular value decomposition I 10 matrix 13 13 singular values matrix 13 13 sketches creating 15 5 creating a blank graphic 16 22 creating a set of 15 5 erasing a line 16 20 labeling 15 5 opening view 15 3 sets 15 5 storing in graphics variable 15 5 slope 3 10 soft key labels 1 2 solve error messages initial guesses 7 5 interpreting intermediate guesses inte
109. change the highlighted setting HWIDTH enables you to specity 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 S1MARK through S5MARK enables you to specify one of five symbols to use to plot each data set Press MITH 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 For instance the data set 1 1 3 9 4 16 2 4 would be plotted and traced in the order 1 1 2 4 3 9 4 16 Trouble shooting a plot If you have problems plotting check that you have the following Statistics aplet The correct or EIE menu label on Numeric view The 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 or adjust the plotting parameters in Plot Setup for the ranges of the axes and the width of histogram ba
110. ction aplet See Exploring the table of numbers on page 2 18 for further information 43 Polar aplet Getting started with the Polar aplet Open the Polar aplet Define the expression Specify plot settings Plot the expression Polar aplet 1 Open the Polar aplet POLAR ries rsa ESET 1 4 the Polar aplet opens ROCA gt the Symbolic view TAN SHOH EVE Define the polar equation r 2xcos 0 2 cos 0 2 SHIFT x COS x8 a 2 0 cos 0 POLAR SYMBOLIC VIEH vVRiCB 2xm COSC B2 8 gt X2 ENTER EdiB3 ix rim PEDIT CHE 8 EVAL Specify the plot settings In this example we will use the default settings except for the ORNG fields SETUP PLOT POLAR PLOT SETUP 12 9563 CLEAR mE LER ms Sores gt 4 DI YENG 2 1 8 2 TEP SIZE Plot the expression 0 1092 6 283185 HETI 5 1 Explore the 5 Display the Plot view menu key labels graph um The Plot view options available are the same as those found in the Function aplet See Exploring the graph on page 27 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 18 for furthe
111. cursor keys v etc to drag to the opposite corner SELECT ECOMD CORNER ALARM 2 12 Aplets and their views To set zoom factors Aplets and their views o Press WA to zoom in on the boxed area In the Plot view press Press Select Set Factors and press BIB Enter the zoom factors There is one zoom factor for the horizontal scale xzooM and one for the vertical scale YZOOM 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 VIEWS menu options 2 14 The preset viewing options menu VIEWs contains options for drawing the plot using certain pre defined configurations 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 Press VIEWS select an option and press Option Meaning Plot Splits the screen into the plot and a Detail close up Plot Table Splits the screen into the plot and the data table
112. d by the Intersection function in the Plo FCN menu Draws labels in Plot view showing X and Y ranges From Plot Setup check or uncheck _Labels or In a program type 1 MLabels to turn labels on 0 PLabels to turn labels off default Programming Nmin Nmax Sequence Recenter All Aplets Root Function S1mark S5mark Statistics SeqPlot Sequence Programming 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 or In a program type n gt Nmin n Nmax where n n 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 gt Recenter to turn recenter off Contains the last value found by the Root function in the PlotFCN menu 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 or In a program type 1 gt SeqPlot for Stairstep 2 gt SeqPlot for Cobweb 16 33 Simult Function Parametric Polar Sequence Slope Function StatPlot Statistics Umin Umax Pol
113. d store history A variable is an object that you create in memory to hold data The hp 39g 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 calculators Variables and memory management 12 1 Storing and recalling variables Numeric Precision To store a value To store the results of a calculation 12 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 expone
114. d 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 4 or to move between relations Aplets and their views To 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 EDI then enter a value Press to jump to the value If the menu labels are not displayed press WA first Turn off trace mode by pressing HAT Turn on trace mode by pressing HAMA To turn the coordinate display off press REI 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 If is not displayed press REIM 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 14 In Divides horizontal and vertical scales by the X factor and Y factor For instance if zoom factors are 4 then zooming in results in 1 4 as ma
115. described operations Key presses are represented as follows SIN COS 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 e Numbers and letters are represented normally as follows 5 7 A B e Menu options that is the functions that you select using the menu keys at the top of the keypad are 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 Hewlett Packard Company shall not be liable for any errors or for incidental or consequential damage in connection with the furnishing performance or use of this manual and the examples herein Copyright 2003 Hewlette Packard Development Company L P The programs that control your hp 39g are copyrighted and all rights are reserved Reproduction adaptation or translation of those programs withou
116. deviation Sample 1 size Sample 2 size Confidence level Whether or not to pool the samples based on their standard deviations Inference aplet Results The results are Result Description Critical T Critical value for T u Min Lower bound for u u9 Max Upper bound for p9 Inference aplet 10 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 SESS RRLET LIERARY ESEPEEETH Palar HEE Sequence HEB Salve AKE Finance Statisticz AKE SAVE RESET SORT SEND RECN START Press the key or the Egi soft menu key to activate the aplet The resulting screen shows the different elements involved in the solution of financial problems with your hp 39g calculator ues TIHE RLUE OF MINEV See H ek B AG El Perk 12 ENTER PHYMENTS SOLVE ee JN ECT Background information on and applications of financial calculations are provided next Background 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 e
117. dians 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 1 10 Getting started Getting started Setting Options Continued Number Format Decimal Mark The number format mode you set is the 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 23E2 in Scientific 2 format 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 Dot or Comma Displays a number 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
118. e 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 I 3 Variables and memory management Start the Memory Manager A list of variable categories is displayed SHIFT MEMORY ES H 1 slam le Programs LKB lt 1a Free memory is Hotes BEB cie displayed in the top Matrices BKB lt 1 Lists IKB lt 1 right corner and the BEEN EE I 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 Memory Manager displays memory details of variables within the category v v v HEHH HATRI CATALOG SEEEEEEIR 11 151 REAL HATRIH Mz 151 REAL MATRIS M3 151 REAL HATRI KE 181 REAL HS 151 REAL HATRI v NN To delete variables in a category Press DEL to delete the selected variable Press CLEAR to delete all variables in the selected category 12 9 Matrices 13 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 F
119. e 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 Programming SUB SWAPCOL SWAPROW Print commands PRDISPLAY PRHISTORY PRVAR 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 Y for graphics SUB name object start end Swaps Columns Exchanges column 1 and column2 of the specified matrix SWAPCOL name column column2 Swap Rows Exchanges row and row2 in the specified matrix SWAPROW name row row2 These commands print to an HP infrared printer for example the HP 82240B printer Prints the contents of the display PRDISPLAY Prints all objects in the history PRHISTORY Prints name and contents of variablename PRVAR variablename You can also use the PRVAR command to print the contents
120. ear sITLinear important role in choosing F rEinear CHOOSE ANGLE MEASURE data models Press SHIFT SETUP SYMB Each view is a separate environment To change a view select a different view by pressing 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 You can save an aplet configuration that you have used and transfer the aplet to other hp 39g calculators See Sending and receiving aplets on page 17 4 Mathematical calculations Where to start Entering expressions Getting started The most commonly used math operations are available from the keyboard Access to the rest of the math functions is via the MATH menu MATH To access programming commands press CMDS See Programming commands on page 16 13 for further information The home base for the calculator is the HOME view You can do all calculations here and you can access all MATH operations Enter an expression into the 39g in the same left to right order that you would write the expression This is called algebraic entry To 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 Exa
121. eb 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 Hewlett Packard s Calculators web site can be found at http www hp com calculators Sending and receiving aplets 17 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 39g to another This takes place via the infrared port You can also send aplets to and receive aplets from a remote storage device aplet disk drive or computer This takes place via a cable connection and requires an aplet disk drive or special software running on a PC such as the PC Connectivity Kit Extending aplets To transmit an aplet 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 2 inches 5 cm apart 2 Sending calculator Open the Library highlight the kae to send and press BATA You have two options another hp 39g or a disk drive on a PC 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 pmi You have t
122. ed 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 ON key Press and hold the ON 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 ON key 4 Locate the small hole in the back of the calculator 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 on page R 4 press and hold the ON 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 4 5V dc 60mA maximum The calculator uses 3 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 Reference information To install the main a Slide up the battery compartment cover as illus
123. efine the type of test Chit Select an alternative hypothesis Chasse alternative hypothesis Enter the sample statistics and population parameters SHIFT Setup NUM MERIC SETUP 88 9H c a Zoor SOHple Hedh EDIT HELP IHPRT The table below lists the fields in this view for our current Z Test 1 example Field Definition name uO Assumed population mean o Population standard deviation x Sample mean n Sample size OL Alpha level for the test 9 3 Display on line help Display test results in numeric format Plot test results 6 8 9 By default each field already contains a value These values constitute the example database and are explained in the feature of this aplet To display the on line Tests the null hypothesis that ___ nios popu atann URS gn dqzzuHed help press HEE m repens e h li h data To close the on line he D set oF 50 random numbers FroH te 1 generated by calculator press Bares haz He n oF D H5 amp i252 The Display the test results in numeric format NUM IMF TAT AS The test distribution value rrat 1255518 and its associated Edd zn lise probability are displayed along with the critical value s of the test and the associated critical value s of the statisti
124. ependent 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 Aplets and their views 2 17 Reset numeric settings To reset the default values for all table settings press SHIFT CLEAR Exploring the table of numbers The following table details the menu keys that you use to work with the table of numbers Meaning NUM view menu keys Key EDITA Ee 0391 Displays ZOOM menu list Toggles between two character sizes Displays the defining function expression for the highlighted column To cancel this display press 0390 Zoom within a ZOOM options Zooming redraws the table of numbers in greater or table lesser detail The following table lists the zoom options Option Meaning In Out Decimal Integer Decreases the intervals for the independent variable so a narrower range is shown Uses the NUMZOOM factor in Numeric Setup Increases the intervals for the independent variable so that a wider range is shown Uses the NUMZOOM factor in Numeric Setup Changes intervals for the independent variable to 0 1 units Starts at zero Shortcut to changing NU
125. er Setting up the plot Plot view setup Press sHiFT 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 MITA highlight your choice and press or BIB 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 193 4 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 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 tickmarks
126. eric view screen variables NUM SOLVE WUHERIC VIEH 7 2 Solve aplet Solve the unknown variable Plot the equation Solve aplet 4 Enter the values for the known variables ENTER ees SOLVE ev Ion v Eri RENE 156 6r 16 67 v Dp ESTEE WALUE PRESS Waa 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 SOLVE NUMERIC VIEH Arara u A ENEDI n 18H VALUE PRESS 20LVE EDIT IMFO 20LVE 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 current equation is V U 24D One of these is Y V with V 27 78 that is Y 771 7284 This graph will be a horizontal 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 Aut
127. erval for the difference between the means of two populations u u2 when the population standard deviations and 65 are known Inputs The inputs are Field name Definition xl x2 nl n2 o1 02 C Sample 1 meon Sample 2 meon Sample 1 size Sample 2 size Population 1 standard deviation Population 2 standard deviation Confidence level Results The results are Result Critical Z A u Min A u Max Description Critical value for Z Lower bound for u Upper bound for u 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 Min Lower bound for Upper bound for Two Proportion Z Interval Menu name ZANT nl x2 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
128. essing evaluates or re evaluates the last input whereas pressing ANS copies the last result as 45 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 12 Variables and memory management for more information on variables For example 1 Perform a calculation 45 8 K3 FUMCTIOW 4535 973 ur TOF 2 Store the result in the A variable ALPHA A EE FUNCTION ENTER NTER dur HnzkH aor zT 3 Perform another calculation using the A variable 95 2 x ALPHA A rn FUMCTIOM TOF Getting started Accessing the Pressing A 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 the 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 Is a good habit to clear the display history suirr display history CLEAR whenever you have finished working in HOME It saves calculator memory to clear the dis
129. est u1 u2 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 HiU gt M zl Inputs The inputs are Field name Definition zi Sample 1 mean x5 Sample 2 mean nl Sample 1 size n2 Sample 2 size ol Population 1 standard deviation Inference aplet 9 9 Field name Definition 02 Population 2 standard deviation Significance 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 level that you supplied One Proportion Z Test Menu name Z Test 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 Ho T You select one of the following alternative hypotheses against which to test the null hypothesis H iN ng H n gt ng H N 9 10 Inference aplet Inputs The inputs are Field name Definition x n TO Ol
130. ets in 17 5 linear fit 8 13 list arithmetic with 14 7 calculate sequence of elements 14 8 calculating product of 14 8 composed from differences 14 7 concatenating 14 7 counting elements in 14 9 creating 14 1 14 3 14 4 14 5 deleting 14 6 deleting list items 14 3 displaying 14 4 displaying list elements 14 4 editing 14 3 finding statistical values in list ele ments 14 9 generate a series 14 8 list function syntax 14 6 list variables 14 1 returning position of element in reversing order in 14 8 sending and receiving 14 6 sorting elements 14 9 storing elements 14 1 14 4 14 5 storing one element 14 6 logarithm 11 4 logarithmic fit 8 13 functions 11 3 logical operators AND 11 19 equals logical test 11 18 greater than 11 18 greater than or equal to 11 19 IFTE 11 19 less than 11 18 less than or equal to 11 18 NOT 11 19 not equal to 11 18 OR 11 19 XOR 11 19 logistic fit 8 13 loop commands BREAK 16 23 DO UNTIL END 16 22 FOR l 16 23 WHILE REPEAT END 16 23 loop functions ITERATE 11 9 RECURSE 11 10 summation 11 10 low battery 1 1 lowercase letters 1 6 M mantissa 11 14 math functions complex number 1 1 7 hyperbolic 11 9 in menu map R 13 keyboard 11 3 logical operators 11 18 menu 1 polynominal 11 10 probability 11 12 real number 11 13 symbolic 11 17 trigonometry 11 19 MATH menu 11 1 math operations 1 19 enclosing arguments 1 21 in scientific notation 1 20 negative numbers in
131. example entering 1 returns 0 1 Enter the number in either of these forms where x is the real part y is the imaginary part and i is the imaginary constant J l x y or xt ily To enter i press ALFA or e press MATH 4 or keys to select Constant gt to move to the right column of the menu v to There are 10 variables available for storing complex numbers ZO to Z9 To store a complex number in a variable Enter the complex number press Egif3 enter the variable to store the number in and press ENTER Q4 50 EEG ERAD FUNCTION pra 20 C4 5 7h24 anm 1 29 Catalogs and editors The hp 39g 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 15 Notes and sketches Lists In HOME lists are Hf in See Chapter 14 Lists One and two dimensional arrays In HOME arrays are enclosed in See Chapter 13
132. expression variable 1 value1 variable2 value2 Example 3 X 1 X 3 returns 12 The test functions are logical operators that always return either a 1 or a O 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 1 value2 Equals logical test Returns 1 if true O if false value 1 value2 Not equal to Returns 1 if true O if false value 1 value2 Greater than Returns 1 if true O if false value 1 value2 Using mathematical functions IV AND IFTE NOT OR XOR Greater than or equal to Returns 1 if true O if false value 17 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 LETH X50 X4 x4 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 O value XOR value2 Trigonometry functions ACOT ACSC ASEC COT CSC 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 c
133. ferent 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 X 10 you can enfer F1 X 50 in the Solve aplet to solve the equation X 10 50 Solve aplet 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 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
134. fference between two proportions Example data 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 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 Open the 1 Open the Inference aplet Inference aplet STAT SYMEOLIC VIEH Select Inference METHOD HYFOTH TEST PDIPTETeTeI SS SSS SS TYPE 2 Test 1 pr zl 3 32253 poe t L T H T H T X u A Cheese an inferential Hethod e The Inference aplet opens in the Symbolic view Inference aplet 9 1 Inference aplet s SYMB view keys 9 2 The table below summarizes the options available in Symbolic view Hypothesis Confidence Intervals Tests Z 1 u the Z Test on mean Z u4 the Z Test on the difference of two means Z 1 m the Z Test on proportion Z nl n2 the Z Test on the difference in two proportions 1 u the T Test on 1 mean T the T Test on the difference of two means Z Int 1 u the confidence inter
135. for further details Example J 0 81 2 X 3 X 4 finds the indefinite result 3 8142 s1 2 2 See To find the indefinite integral using formal variables page 1 1 23 for more information on finding indefinite integrals 11 6 Using mathematical functions TAYLOR Calculates the nth order Taylor polynomial of expression at the point where the given variable O 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 y 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 y Example IM 3 4 returns 4 Real part x of a complex number x y RE x y Example RE 3 4 returns 3 Using mathematical functions Constants MAXREAL MINREAL
136. ftmost cursor to the screen s left edge and gt moves the rightmost cursor to the screen s right edge The a menu key copies the right plot to the left plot 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 Aplets and their views Press VIEWS Select Plot Table and press The screen displays the plot on the left side and a table of numbers on the right side dj 395167 572355 2 15 Overlay plots Decimal scaling Integer scaling Trigonometric scaling 2 To move up and down the table use the 4 and gt 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 a and cursor keys to move the cursor from one graph to another 4 To return to a full Numeric or Plot view press NUM or 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 scaling compresses the axes so that each pixel is 1 x1 and the origin is near the screen center Use trigonometric sc
137. functions return one value only even if the function has more than 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 uu Set up the table 21 Display the numeric setup SHIFT SETUP NUM FUNCTION NUMERIC SETUP ZR HUHSTART MUMSTEP 1 MUMTYPE Automatic HUMZOOM 4 ENTER STARTING VALUE FOR TAELE EDIT See Setting up the table Numeric view setup on page 2 17 for more information 22 Match the table settings to the pixel columns in the graph view FUIMCTIDN NUMERIC SETUP 38288 MUM START MUMSTEP 1 Automatic HUMZO0H 4 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 a table 6 times To go directly to a 25 Move directly to X 10 value lm To access the zoom 26 Zoom in 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
138. gle F6 F1 7 2 F8 F9 F4 FO F5 Numeric Digits NumRow Format tart 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 Ytick Labels Xmin Recenter Xmax Simult Ymin Tmin Ymax Tmax Xzoom Yzoom Symbolic Angle Y5 X1 X6 Y1 Y6 X2 X7 Y2 Y7 X3 X8 Y3 Y8 X4 X9 Y4 Y9 X5 XO YO Numeric Digits NumRow Format NumStart NumCol NumStep NumFont NumType NumIndep NumZoom Note NoteText Sketch Page PageNum Reference information Polar aplet variables The polar aplet variables are Reference information Category Available names Plot Axes Connect XCIrOSS Coord Ycross Grid Xtick Indep Ytick InvCross Xmin Labels xmax Recenter Ymin Simult Ymax Umin Xzoom Umax Yxoom Ostep Tracing Symbolic Angle R6 R1 R7 R2 R8 R3 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 R 10 Category Available name Plot Axes Tracing Coord Xcross Grid Ycross Indep Xtick InvCross Ytick Labels Xmin Nmin Xmax Nmax Ymin Recenter Ymax SeqPlot Xzoom Simult Yzoom Symbolic Angle U6 U1 U7 U2 U8 U3 U
139. gory 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 7198 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 a Jn Some input examples input forms FUNCTION PLOT ETUP FUNCTION PLOT SETUP een 2 252145 TRAG 1 3 2 y COMMECT v LABEL TICE J YTICK 1 WANES GRID Faster ENTER MINIMUM HORIZONTAL VALUE PLOT FUNCTIONS SIMULTANEOUSLY EWT NN m CHE 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 SHIFT CLEAR 1 9 Mode settings You use the Modes input form to set the modes for HOME HINT X 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 SHIFT and SHIFT Press MODES to access the HOME MODES input form Setting Options Angle Angle values are Measure Degrees 360 degrees in a circle Radians 2 ra
140. he 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 You select one of the following alternative hypotheses against which to test the null hypothesis HU lt lo Ho uo Inference aplet Inputs Results Inference aplet The inputs are Field name Definition Ol Sample mean Sample standard deviation Sample size Hypothetical population mean Significance level The results are Result Description Test T T Test statistic Prob Probability associated with the T Test statistic Critical T Boundary value of T associated with the o level that you supplied Critical Boundary value of x required by the value that you supplied Two Sample T Test Menu name Inputs 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 for a selected hypothesis against the null hypothesis The null hypothesis is that the two populations means are equal You select one of the following alternative hypotheses agai
141. hp 39g graphing calculator user s guide invent Edition 2 Part Number F2224 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 WARRANTY 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 Copyright 1994 1995 1999 2000 2003 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 4995 Murphy Canyon Rd Suite 301 San Diego CA 92123 Printing History Edition 2 December 2003 Contents Preface cConvelliofiS orientis tomm hens eae eek a EU E LL iae 1 POIO S accetto RD EUM ui ME M KM MU LIP DE ME P 2 1 Getting started eei 1 1 Thedisplay senese m 1 2 Toe e UO GEO esq DOLAR UD en 1 3 ICU e 1 8 eae tel aha ected ede medals 1 9
142. i Fachs KT PARTNERN NR HOH EYAL 2 Enter the expressions in the Function aplet s Symbolic view ALPHA A x 2 89 ALPHA ALPHA F1 0 Bl DJ ALPHA F2 QE D 3 Highlight F3 X 4 4 Press Note how the values for F1 X and F2 X are substituted into F3 X SENS FUNCTION SYMEOLIC VIEH SERERE WF 2Ca B6 VF SCR IEP Lathe a Facaa EDIT HOH EYAL FUNCTION SYMEOLIC VIEH Hg V Fl n3 H REP WF eC a J B6 Facaa EDIT DT FUNCTION SYMEOLIC VIEH SERERE V Fl n3 H REP EDIT Con 2 3 In HOME 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 S4MEOLIC VIEH S Fic SAKE F2CX I FSCKISASKE B Duy EDIT CHE Fdco5 zT FUNCTION 262 The following table details the menu keys that you use to work with the Symbolic view Key Meaning EDIT ENHL 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
143. ic 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 HA 8 1 Defining a regression model The Symbolic view includes an expression 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 data 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 In Numeric view make sure i
144. ics The mean height is approximately 167 63cm l r 63155947 9 Setup a histogram plot for data DIM SHIFT SETUP PLOT Enter set up information appropriate to your data SESS STATISTICS PLOT SETUP STATPLOT Hist HHIDTH 5 150 185 F 14 164 185 ENTER MAXIMUM HISTOGRAM VALUE EDIT PAGE __ 10 Plot a histogram of the data H1 160 165 F 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 Statistics aplet Edit a data set Delete data Insert data Sort data values Statistics aplet In the Numeric view of the Statistics aplet highlight the data value to change Type a new value and press press to copy the value to the edit line for modification Press after modifying the value on the edit line To delete a single data item highlight it and press DEL The values below the deleted 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 11 columns Highlight the entry following the point of insertion Press then enter a number It will write over the zero that was inserted In Numer
145. imal 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 prz is displayed as its menu label Calculate statistics 90 The mean of 0 592 Lut B 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 Press to close the computed statistics window 9 5 Open Inference aplet Select inference method and type Set up the interval calculation 9 6 Open the Inference aplet and clear current settings Select gs IMF STAT SYMEDLIC VIEH Inference METHOD mNiE ani 530 E TYRE Z Tezt 1 p TES ALT HYFOTH Choose gn inFerentigl Hgthod EHAE s MFE STAT SYMEOLIC Select CONF INTERVAL MA TYRE Z IMT i Choose inFgrentidgl nethod Select a distribution statistic type v Ferrites REA MF STAT SYMEOLIC Select T Int 1y INTERVAL TFE TERT Choose distribution statistic Set up the interval calculation Note The default values are derived from sample data from the on line help example SHIFT Setup NUM
146. in 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 M9 Cate Available names gory Complex ZO to Z9 a EG 1 2 ZO or 243i Fama Zl You can enter a complex uera by typing ri where r represents the real part and i represents the imaginary part Graphic GO to G9 See Graphic commands on page 16 20 for more information on storing graphic objects via programming commands See To store into a graphics variable on page 15 5 for more information on storing graphic object via the sketch view Library 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 List LO to L9 For example 1 2 3 EE 11 Matrix MO to M9 can store matrices or vectors For example 1 2 3 4 Ez3 MO Modes Modes variables store the modes settings that you can configure using SHIFT MODES Notepad Notepad variables store notes Program Program variables store programs Real A to Z and 0 For example 7 45 A Variables and memory management 12 7 Aplet variables To access an aplet variable Aplet variables store values that are unique to a particular aplet These include symbolic expressions and equations see below setting
147. ine 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 stN functions Press to complete the operation V 256 displays 16 MATH menu Press MATH FUNCTION MATH fo open the MATH IN menu The MATH menu is a Stat Twuo DEG RAD Symbolic FLOOR comprehensive list of math lTasts w FHRODT v functions that do not appear mrmpmrum NN 7 9 EE 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 The arrow keys scroll through the list v and move from the category list in the left column to the item list in the right column Press to insert the selected command onto the edit line e Press to dismiss the MATH menu without HINT Program commands Inactive keys Menus To search a menu Pressing fakes you to the beginning of the See Math by category on page 11 2 for details of the math functions When using the MATH menu or any menu on the hp 39g 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 fir
148. ing x 2x7 25x 26x 120 11 10 Using mathematical functions POLYEVAL POLYFORM POLYROOT HINT Using mathematical functions Polynomial evaluation Evaluates a polynomial with the specified coefficients for the value of x POLYEVAL coefficients value Example For x 4 2x2 25x 26x4 120 POLYEVAL 1 2 25 26 1201 8 returns 3432 Polynomial form Creates a polynomial in variable 1 from expression POLYFORM expression variable Example POLYFORM X 1 241 X returns X 24 2 X 2 Polynomial roots Returns the roots for the nth order polynomial with the specified n 1 coefficients POLYROOT coefficients Example For x 2x2 25x 26x4 120 POLYROOT 1 2 25 26 120 returns 2 3 4 5 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 M1 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 11 11 Probability functions COMB PERM RANDOM HINT UTPC 11 12 Number of combinations without regard to order of n things taken rata time n r n r r COMB 5 2 returns 10 That is there are
149. inite solutions For example the following set of equations has an infinite number of solutions xty z 5 2x y 7 x 2y z 2 The final row of zerosinthe 5 5 4 reduced row echelon form of the augmented matrix indicates an inconsistency 13 14 Matrices Lists 14 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 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 sHiFT LisT You can also create and store lists named or unnnamed in HOMEg 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 Loe eee LIST CATALOG e SHIFT LIST ise L4 S
150. inning 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 regular payment due For an investment this is the cash value of an investment at the end of the investment period 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 known value Be sure that values are entered for at least four of the five TVM variables namely N I YR PV PMT and FV If necessary enter 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 soft monu 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 300 Assume that the
151. inued CHARS Displays a menu of all available characters To type one use the arrow keys to highlight it and press To select multiple characters select each and press Ham then press Shifted keystrokes There are two shift keys that you use to access the operations and characters printed above the keys and ALPHA Key Description Press the key to access the operations printed in blue above the keys For instance to access the Modes screen press 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 ALPHA 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 39g 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 SHIFT SYNTAX 74 a Note Remove the left parenthesis from built in functions such as s
152. ion 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 ls Press and type the text on the edit line To lock the Alpha shift on press for uppercase or EWA for lowercase To make the label a smaller character size turn off before pressing GEES 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 keys 4 Press BIB again to affix the label Press ISTIS to continue drawing or press to exit the Sketch view l E You can create a set of up to ten sketches This allows for simple animation After making a sketch press HAZIA 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 WAZ Hold WAZ 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 P In the Sketch view display the sketch you want to copy store into a variable Press FAI Highlight the variable name you want to use
153. ive 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 operation outside of the published environmental specifications for the product or e improper site preparation or maintenance 6 HP MAKES NO 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 I
154. ize L5 Size HKE 2 Highlight the list name you want to assing to the new list L1 etc display the List editor per ws __ 14 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 result is inserted in the list 4 When done press suirr LisT to see the List catalog or press to return to HOME List catalog keys The list catalog keys are Key Meaning ELIT Opens the highlighted list for editing ENE Transmits the highlighted list to another hp 39g or a PC See Sending and receiving aplets on page 17 4 for turther information FECH Receives a list from another hp 39g or a PC See Sending and receiving aplets on page 17 4 for further information DEL Clears the highlighted list CLEAR Clears all lists or Moves to the end or the beginning of the catalog 14 2 Lists List edit keys Create a list in HOME Lists following keys are available to you Key Meaning EDIT Copies the highlighted list item into Inserts a new value before DEL Deletes the highlighted item from CLEAR Clears all elements from the list or Moves to the end or the beginning of the list the edit line highlighted item the list l Ente
155. lements 14 1 14 4 14 5 14 6 matrix elements 13 3 13 5 13 6 results of calculation 12 2 value 12 2 strings literal in symbolic operations 11 18 subtract 11 3 summation function 11 10 symbolic Index calculations in Function aplet 11 21 defining expressions 2 1 differentiation 11 21 displaying definitions 3 8 evaluating variables in view 2 3 setup view for statistics 8 12 symbolic functions where 11 18 equals 11 17 ISOLATE 11 17 LINEAR 11 17 QUAD 11 17 QUOTE 11 18 Symbolic view defining expressions 3 2 syntax 11 2 syntax errors 16 7 T table navigate around 3 8 numeric values 3 7 numeric view setup 2 17 tangent 11 4 inverse hyperbolic 11 8 Taylor polynomial 11 7 tickmarks for plotting 2 6 time 11 14 setting 16 26 time converting 11 14 times sign 1 21 tmax 16 35 tmin 16 35 too few arguments R 18 tracing functions 2 8 more than one curve 2 8 not matching plot 2 8 plots 2 8 transmitting lists 14 6 matrices 13 4 programs 16 8 transposing a matrix 13 13 trigonometric functions 11 19 scaling 2 10 2 15 2 16 trigonometry functions 1 11 ACOT 11 19 ACSC 11 19 ASEC 11 19 COT 11 19 CSC 11 19 SEC 11 20 trng 2 6 truncating values to decimal places 11 16 tstep 2 6 16 35 Two Proportion Z Interval 9 17 Two Proportion Z Test 9 11 Two Sample T Interval 9 19 Two Sample T test 9 14 Two Sample Z Interval 9 16 typing letters 1 6 U undefined name R 18 result R 18 un zoom 2 11 uppe
156. let NumFont Function Parametric Polar Sequence Statistics Function Parametric Polar Sequence NumRow All Aplets except Statistics aplet NumStart Function Parametric Polar Sequence 16 40 Except in the Solve aplet the value of Format takes effect only after the current aplet is saved with a new name Until then HFormat is in effect Example Scientific Format or 3 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 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 gt 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 or In a 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
157. let to be deleted and press To delete all custom aplets press CLEAR 17 6 Extending aplets Reference information Glossary aplet A small application limited to one topic The built in aplet types are Function Parametric Polar Sequence Solve and Statistics An aplet can be filled with the data and solutions for a specific 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 variables 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 l matrix2 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 Reference information R list matrix menu menu keys note 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 evalu
158. lting x value is saved in a variable named ROCT Extremum Select Extremum to find the maximum or minimum of the current 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 Intersectionto 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
159. lues Pressing 2138 allows the user to select whether all three sub expressions will be explored at once or only one at a time Getting started A H button is provided to evaluate the student s T T Tere knowledge Pressing displays a target quadratic 1 eil graph The student must mpm m 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 EZE button is provided for those who give up Trig Explorer aplet Trig Explorer aplet is used to investigate the behaviour of the graph of y asin bx c d as the values of a b c and 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 APLET select Trig CENE Explorer and then press on right ELEELEL EN LTD RESET yz FIMK 233m 7 In this mode the graph controls the equation Pressing the a and uin ri 4 gt keys transforms the a e T graph with these TER 755 transformations reflected in The button labelled HAE i a toggle between EHEHE and aga When E is chosen the point of control is at the origin 0 0 and the wJand 4 0 ryan ire mm keys control vertical and horizontal transformations When mzgsm is chosen the point of control
160. me 16 26 element 13 5 elements 14 4 engineering 1 11 fixed 1 11 fraction 1 11 history 1 22 line 1 23 matrices 13 5 parts of 1 2 printing contents 16 25 rescaling 2 14 scientific 1 11 scrolling through history 1 25 soft key labels 1 2 standard 1 11 divide 11 3 drawing circles 15 4 keys 15 4 lines and boxes 15 3 drawing commands ARC 16 19 BOX 16 19 ERASE 16 20 FREEZE 16 20 LINE 16 20 PIXOFF 16 20 PIXON 16 20 TLINE 16 20 E 11 8 edit line 1 2 editing matrices 13 4 notes 15 2 programs 16 5 Editline Index Program catalog 16 2 editors 1 30 eigenvalues 13 11 eigenvectors 13 11 element storing 13 6 E lessons 1 12 engineering number format 1 11 equals for equations 11 17 logical test 11 18 equations solving 7 1 erasing a line in Sketch view 16 20 error messages bad guesses 7 7 constant 7 7 exclusive OR 11 19 exiting views 1 19 exponent minus 1 11 9 of value 11 16 raising to 11 5 expression defining 2 1 R 1 entering in HOME 1 19 evaluating in aplets 2 3 literal 11 18 plot 3 3 extremum 3 10 F factorial 11 12 FastRes variable 16 31 fit a curve to 2VAR data 8 17 choosing 8 12 defining your own 8 13 fixed number format 1 11 font size change 3 8 15 5 forecasting 8 20 fraction number format 1 11 full precision display 1 11 function analyse graph with FCN tools 3 4 definition 2 2 R 1 entering 1 19 gamma 11 12 intersection point 3 5 math menu R 13 slope 3 5 syntax 11 2 tracing 2 8 Fu
161. me contains special characters such as a space then you must enclose the file name in double quotes RUN program name or RUN programname STOP Stops the current program STOP Drawing commands 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 39g default settings with the Function aplet as the current aplet ARC Draws a circular arc of given radians whose centre is at x y The arc is drawn from start angle measurement and end angle measurement ARC x y radius start angle measurement end angle measurement Example ARC 0 0 2 0 360 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 BOX Draws a box with diagonally opposite corners x y and x2 y2 BOX x1 yl x2 y2 Example BOX 1 1 1 1 FREEZE Draws a box lower corner at 1 1 upper corner at 1 1 Programming 16 19 ERASE FREEZE LINE PIXOFF PIXON TLINE Clears the display ERASE Halts the program freezing the current display Execution resumes when any key is pressed Draws a line from x1 y1 to x2 y2 hINEXxILylix2 y2 Turns off the pixel at the specified coordinates x y x y Turns on pixel at specified coordinates x y PIXON
162. me for the item or Enter a menu item name to replace the standard name The second argument specifies the program to run Leave the argument empty to run the standard menu option Insert a program name to run the program before the standard menu option is selected The 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 16 16 Programming UNCHECK View numbers The Function aplet views are numbered as follows 0 HOME 11 Plot 12 2 Symbolic 13 3 Numeric l4 4 Plot Setup 15 5 Symbolic Setup 16 6 Numeric Setup 17 7 Views 18 8 Note 19 9 Sketch view 20 10 Catalog 21 List Catalog Matrix Catalog Notepad Catalog Program Catalog Plot Detail Plot Table Overlay Plot Auto scale Decimal Integer Trig Unchecks unselects the corresponding function in the current aplet For example Uncheck 3 would uncheck F3 it the current aplet is Function UNCHECK n Branch commands 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 independently IF THEN END Programming Executes a sequence of commands in the true clause only it the test clause evalu
163. merator 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 DEG RAD FLOOR Using mathematical functions Some real number functions can also take complex arguments Smallest integer greater than or equal to value CEILING value 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 RAD value Example DEGRAD 180 returns 3 14159265359 the value of Greatest integer less than or equal to value FLOOR value Example FLOOR 3 2 returns 4 11 13 FNROOT FRAC HMS HMS INT MANT 11 14 Function 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 seco
164. mple Long results Negative numbers Scientific notation powers of 10 Example 1 20 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 2 Calculate 23 148 asy i 023 mm 14 x Y 80 288 142 53 7 S amp LMCASO n 45 D STOF If the result is too long to fit on the display line or if you want to see an expression in textbook format press to highlight it and then press Type to start a negative number or to insert a negative sign To raise a negative number to a power enclose it in parentheses For example 5 25 whereas 5 25 A number like 5 10 or 3 21 x I0 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 ZEX This is easier than using x X 4x10 6 x 107 32107 Q4 EEX 13 0 x 06 EEX 230 E 3 GHD rey E EDS CET SESS Calculate 7 sTo 5 sum 4 E 13 56 E23 B888083 2 El TOF Getting started Explicit and Implied multiplication takes place when two operands implicit appear with no operator in between If you enter AB for multiplication example the result is A B However for clarity it is better to include the multiplication sign where you expect multiplica
165. mputed statistics One variable LNNL NN Number of data points Sum of data values with their frequencies Statistics aplet Statistic Definition Continued 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 Q1 First quartile median of values to left of median MEDIAN Median value of data set Q3 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 data set 3 5 7 8 15 16 17 only the first three items 3 5 and 7 are used to calculate and only the last three terms 15 16 and 17 are used to calculate Q3 Two variable NN Mean of x independent values Sum of x values Sum of x values Mean of y dependent values Sum of y values 8 14 Statistics aplet Plotting To plot statistical data Statistics aplet Statistic Definition Continued 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
166. n USA Connections to Peripheral Devices Canada Japan Limiting Warranty This section contains information that shows how the hp 39g graphing calculator complies with regulations in certain regions Any modifications to the calculator not expressly approved by Hewlett Packard could void the authority to operate the 39g in these regions This calculator generates uses and can radiate radio frequency energy and may interfere with radio and television reception The calculator complies 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 However there is no guarantee that interference will not occur in a particular installation In the unlikely event that there is interference to radio or television reception which can be determined by turning the calculator 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 Relocate the calculator with respect to the receiver To maintain compliance with FCC rules and regulations use only the cable accessories provided This Class B digital apparatus complies with Canadian ICES 003 Cet appareil numerique de la classe B est conforme a la norme NMB 003 du Canada IE SEE A VCC NILES lt
167. n enter these commands in your program by typing them or by accessing them from the Commands menu Programming 16 13 Aplet commands CHECK SELECT SETVIEWS 16 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 n 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 16 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
168. named or 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 Key Meaning ELIT Opens the highlighted matrix for editing HEH Prompts for a matrix type then SEHI Transmits the highlighted matrix to another hp 39g or a disk drive See Sending and receiving aplets on page 17 4 FECL Receives a matrix from another hp 39g or a disk drive See Sending and receiving aplets on page 17 4 DEL Clears the highlighted matrix CLEAR v or 4 opens an empty matrix with the highlighted name Clears all matrices Moves to the end or the beginning of the catalog Matrices To create a matrix in the Matrix Catalog Matrices Press SHIFT MATRIX to open the Matrix Catalog The Matrix catalog lists the 10 available matrix variables MO to M9 Highlight the matrix variable name you want to use and press HEM 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
169. nction aslcsIHEKS185 c 2 C055 81 COSCSLe ae 02451 STOR Using mathematical functions 11 21 3 Show the result a EDDIE cosls17hos142 SIN S1 T EL DW hp 39g To find derivatives To find the derivative of the function in the Function aplet s in the Function Symbolic view you define two functions and define the aplet s Symbolic second function as a derivative of the first function For view example to differentiate sin x 2cosx 1 Access the Function aplet s Symbolic view and define Fl SYMB 2 SERRE FUNCTION SYMEOLIC VIEH SKEE ES SIN vr lac SSINC Ke 142200 Fock DJ J 2 4 A 0 FSC EMT CHE HO EVAL 2 Define F2 X as the SERERE FUNCTION SYMEOLIC VIEH ESSE vati FICKISSIHEAE derivative of F 1 LENSES RSS d d J ALPHA 78x 0 ALPHA FAO FI B 0 0 EDIT CHE suuni EVAL 3 Select F2 X and SENS FUNCTION SYMEOLIC VIEH SERES evaluate it S SERRE Fcis EDIT SHOH EVAL 4 Press to display the result Note Use the arrow keys view F2txi coslx lescez 8INCH Ihe entire function You could also just define 1 dx sin x 2cos x 11 22 Using mathematical functions To find the indefinite integral using formal variables Using ma
170. nction aplet 2 21 3 1 function variables area 16 30 axes 16 30 connect 16 30 fastres 16 31 grid 16 31 in menu map R indep 16 32 isect 16 32 labels 16 33 Recenter 16 33 root 16 33 ycross 16 36 G glossary R 1 graph analyzing statistical data in 8 19 auto scale 2 14 box and whisker 8 16 capture current display 16 20 cobweb 6 1 comparing 2 5 connected points 8 17 defining the independent variable 16 35 drawing axes 2 7 expressions 3 3 grid points 2 7 histogram 8 15 in Solve aplet 7 7 one variable statistics 8 18 overlaying 2 16 scatter 8 15 8 16 split screen view 2 15 splitting into plot and close up 2 14 splitting into plot and table 2 14 stairsteps 6 1 statistical data 8 15 t values 2 6 tickmarks 2 6 tracing 2 8 two variable statistics 8 18 Graphic commands GROB 16 21 DISPLAY 16 20 GROBNOT 16 21 GROBOR 16 21 GROBXOR 16 21 MAKEGROB 16 21 PLOT 16 21 REPLACE 16 22 SUB 16 22 ZEROGROB 16 22 graphics copying 15 6 copying into Sketch view 15 6 storing and recalling 15 6 16 20 H histogram 8 15 adjusting 8 16 range 8 18 setting min max values for bars 16 31 width 8 18 history 1 2 16 25 Home 1 1 calculating in 1 19 display 1 2 evaluating expressions 2 4 reusing lines 1 23 variables 12 1 12 7 R 6 horizontal zoom 16 37 hyperbolic maths functions 11 9 hyperbolic trigonometry ACOSH 11 8 ALOG 11 9 ASINH 1 1 8 ATANH 11 8 COSH 11 8 EXP 11 9 EXPM1 11 9 LNP1 11 9 SINH 11 8 TANH 11
171. nctions such as 4 Power function NTHROCT 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 39g can represent is 1 x 107 1E 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 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 amp Output Last input T2 99 7 Last output Edit line 229 Getting started To copy a 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 A the EERE and menu labels appear number or expression is copied into the edit line Highlight the line press 4 and press Ez The Press ANS las
172. nds 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 H MMSSs Example HMS 8 30 returns 8 5 Decimal to hours minutes seconds Converts a number or expression in x x format number of hours or degrees with a decimal fraction to H MMSSs format time or angle up to fractions of a second HMS x x Example HMS 8 5 returns 8 3 Integer part INT value Example INT 23 2 returns 23 Mantissa significant digits of value MANT value Example MANT 21 2E34 returns 2 12 Using mathematical functions MAX MIN MOD 76 7e CHANGE 7e TOTAL RAD DEG Maximum The greater of two values MAX value1 value2 Example MAX 210 25 returns 210 Minimum The lesser of two values MIN value1 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 x y Example 20 50 returns 10 Percent change from x to y that is 100 y x x 76 CHANGE x y Example CHANGE 20 50 returns 150 Percent total 100 y x What percentage of x is y 76 TOTAL x Example TOTAL 20 50 returns 250 Radians to degrees Converts value from radians to degrees RAD DEG value Example RAD DEG returns 180 11 15 Using mathematical function
173. nst which to test the null hypothesis Hy lt Hy gt Hy Hyg u The inputs are Field Definition name x1 Sample 1 mean x2 Sample 2 mean S1 Sample 1 standard deviation 52 Sample 2 standard deviation nl Sample 1 size n2 Sample 2 size OL Significance level Pooled Check this option to pool samples based on their standard deviations Inference aplet Results The results are Result Description Test T T Test statistic Prob Probability associated with the T Test statistic Critical T Boundary values of T associated with the o level that you supplied Confidence intervals The confidence interval calculations that the hp 39g can perform are based on the Normal Z distribution or Student s t distribution One Sample Z Interval Menu name Z INT u 1 This option uses the Normal Z distribution to calculate a contidence interval for m the true mean of a population when the true population standard deviation s is known Inputs TheT inputs are Field Definition name x Sample mean Population standard deviation n Sample size e Confidence level Inference aplet 9 15 Results The results are Result Description Critical Z u min max Critical value for Z Lower bound for u Upper bound for u Two Sample Z Interval Menu name ZANT u1 u2 This option uses the Normal Z distribution to calculate a confidence int
174. nt 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 Press HEZ 3 Enter a name for the variable 4 Press l 5 Erim o 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 98 6D xv mum 3 Sr g6 3 FUNCTION a3lrre zTUk Move the highlight to the result you wish to store Press 129 to copy the result to the command line Variables and memory management To recall a value To use variables in calculations 5 Enter a name for the variable CELTE 3alrrBkH 6 Press to store the result The results of a calculation can also be stored directly to a variable For example 2 x 95 5 3 D SIR RD FUMCTIOM 2 cS SKE TOR 23 174
175. ny 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 Zoom In Divides vertical scale only using Y factor Y Zoom Out Multiplies vertical scale only using Y factor Square Changes the vertical scale to match the horizontal scale Use this after doing a Box Zoom X Zoom or Y Zoom Set Sets the X Zoom and Y Zoom factors Factors for zooming in or zooming out Includes option to recenter the plot before zooming 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 units 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 2 24 radians 7 58 or 8 4 grads rescales vertical axis SO 1 pixel 0 1 unit Not in Sequence or Statistics
176. o 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 Note value of A displayed near 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 The Solve aplet s NUM view keys are 74 Key Meaning EDIT Copies the highlighted value to the edit line for editing Press 88 when done Displays a message about the solution see Interpreting results on page 7 6 Displays other pages of variables if any Displays the symbolic definition of the done Finds a solution for the highlighted variable based on the values of the other variables Solve aplet Key Meaning Continued 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 Solve starts looking for a solution at the initial guess Before plotting
177. o serve a serious use merely fo illustrate the process Programming Save the aplet Configuring the Setviews menu option programs Programming 1 Create program Open the Function aplet and save it as EXPERIMENT The new aplet appears in the Aplet library Select RPLET LIBRARY Function fia Funct ion BEE Statistics BkB ALPHA EXPERIMENT Inference Parametric HEE Create a program PROGRAM called EXP MET with l bsmin 1 AM axe contents as shown This ema program configures the RUN EXP ANG plot ranges then runs a mmm EE program that allows you to set the angle format Create a program PROGRAM called EXP ME2 with BEET Th contents as shown This MSGBOX Numeric program sets the numeric view options for the aplet and runs the program that you can use fo configure the angle mode EXP ANG PROGRAM called EXPAANG which AREF the previous two ANGLE MEASURE 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 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 16
178. on payment 2 Start the Finance Solver selecting P YR 12 and End payment option Enter the known variables as shown in the diagram above Your input form for calculating monthly payments for the 30 yr mortgage should look as follows STIME VALUE MONEY SERERE IR 5 150 008 00 Mg 34 1n 12 ENTER PAYMENT AMOUNT OR SOLVE EBEN NEU T ALVE e Highlighting the PMT field press the grs 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 ExT 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 TVM variables I YR PV PMT and FV
179. ontrol ORG Cursor K MODES NOTE SKETCH Keys eys HOME APLET VIEWS CHARS CMDS CLEAR VARS MATH d dx X T 0 DEL asin A acos B aan C e Dio SIN COS TAN In log y Ew Fas Hx x x memory ust L M N alpha MATRIX P Qj RA gt Alpha Key L waj 4 J 5 PROGRM T syntax U Shift Key 1 2 OFF NOTEPAD X Y on 0 Enter CANCEL 0 Key Getting started 1 3 Aplet control keys e On 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 The menu keys are sometimes called soft keys bottom line of the display shows the labels for the menu keys current meanings The aplet control keys are A ey Meaning Displays the Symbolic view for the current aplet See Symbolic view on page 1 16 SYMB PLOT Displays the Plot view for the current aplet See Plot view on page 1 17 Displays the Numeric view for the NUM current aplet See Numeric view on page 1 17 Displays the HOME view See 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 on page 1 1 I E m Displays the
180. or 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 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 7 There are ten matrix variables available named MO to M9 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 Creating and storing matrices Matrix Catalog keys 13 2 You can create edit delete send and receive matrices in the Matrix catalog To open the Matrix catalog press SHIFT MATRIX MATRIS CATALOG ZEE GEERT 1 191 REAL HMRTRIN KE HZ 243 REAL MATRIH MS 191 REAL MRTRIM KE 181 REAL MRTRIM OKE M5 181 REAL MRTRIM F EDIT HEH FEND RECH You can also create and store matrices
181. ot find a point in between where the value is zero This might be because eitherthe 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 is closer to zero If the value of the equation is a continuous real function this point is Solve s best approximation of an actual root Extremum Solve found a point where the value of the equation approximates a local minimum for positive values or maximum for negative values This point may or may not be a root Or Solve stopped searching at 9 99999999999E499 the largest number the calculator can represent 7 6 Solve aplet HINT The Root Finder at work If Solve 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 rootfinder calculating and searching for a root Immediately after pressing EX
182. otangent ACOT value Arc cosecant ACSC value Arc secant ASEC value Cotangent cosx sinx coT value Cosecant 1 sinx csc value 11 19 SEC Secant 1 cosx SEC value Symbolic calculations In HOME Using formal variables 11 20 The hp 39g has the ability to perform symbolic calculations for example symbolic integration and differentiation 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 command 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 differentiations and integrations you need to use formal names The hp 39g has six formal names available for use in symbolic calculations These are SO to 55 When you perform a calculation that contains a formal name the hp 39g 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 S 1 S2 when 7 2 and 52 4 you would enter the calculation as follows BAR AL FUNCTION CS1l 5298
183. parametric variables axes 16 30 connect 16 30 grid 16 31 in menu map R 8 indep 16 32 labels 16 33 recenter 16 33 ycross 16 36 parentheses to close arguments 1 21 to specify order of operation 1 21 pause 16 28 permutations 11 12 pictures attaching in Sketch view 15 3 plot analyzing statistical data in 8 19 auto scale 2 14 box and whisker 8 16 cobweb 6 1 comparing 2 5 connected points 8 17 8 18 decimal scaling 2 14 defining the independent variable 16 35 drawing axes 2 7 expressions 3 3 grid points 2 7 histogram 8 15 in Solve aplet 7 7 integer scaling 2 14 one variable statistics 8 18 overlay plot 2 14 overlaying 2 16 4 3 scaling 2 14 scatter 8 15 8 16 sequence 2 6 setting up 2 5 3 2 split screen view 2 15 splitting 2 15 splitting into plot and close up 2 14 stairsteps 6 1 statistical data 8 15 statistics parameters 8 18 t values 2 6 tickmarks 2 6 to capture current display 16 20 tracing 2 8 trigonometric scaling 2 15 two variable statistics 8 18 plotting resolution and tracing 2 8 plot view variables area 16 30 connect 16 30 fastres 16 31 function 16 30 grid 16 31 hmin hmax 16 31 hwidth 16 32 isect 16 32 labels 16 33 recenter 16 33 root 16 33 s mark sSmark 16 33 statplot 16 34 tracing 16 32 umin umax 16 34 ustep 16 34 polar variables axes 16 30 connect 16 30 grid 16 31 in menu map R 9 indep 16 32 labels 16 33 recenter 16 33 ycross 16 36 polynomial coefficients 11 10 evaluation 11 11 form 1
184. pears in the view menu The program specified in the ProgramName item is associated with the aplet and transferred whenever the aplet is transmitted 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 16 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 empty to use the standard Views menu na
185. play 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 Fractions as follows Setting Fraction 1 In HOME open the HOME MODES input form mode SHIFT MODES MUMEER FORMAT Standard DECIMAL MARK Dot 3 CHOOSE ANGLE MEASURE ER Getting started 1 25 Setting fraction precision 1 26 2 Select Number Format press to display the options and highlight Fraction Fixed 2 v v DECII Scientific TU E c DE 3 Press to select 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 CHOO 4 Enter the precision value that you want to use and press to set the precision Press to return to HOME See Setting fraction precision below for more information The fraction precision setting determines the precision in which the hp 39g 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 techni
186. plet See Aplet naming convention on page 16 10 16 9 4 Develop a program that uses the SETVIEWS command to modify the aplet s VIEWS menu The menu options provide links to associated programs You can specify any other programs that you want transferred with the aplet See SETVIEWS on page 16 14 for information on the command 5 Ensure that the customized aplet is selected then run the menu configuration program to configure the aplet s VIEWS menu 6 Test the customized aplet and debug the associated programs Refer to Debug a program on page 16 7 Aplet naming convention Example 16 10 To assist users in keeping track of aplets and associated programs use the following naming convention when setting up an aplet s programs 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 for the program called by menu option 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 MET 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 t
187. plet 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 9 n Numeric view you specify the values of the known variables highlight the variable that you want to solve for and press 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 Solve aplet 7 should be solved using matrices or graphs in the Function aplet 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 tU 24D Open the Solve 1 Open the Solve aplet aplet Polar The Solve aplet starts Function P IPS the symbolic view 1G Ss ee Define the 2 Define the equation equation ALPHA X SOLVE SYMBOLIC EXE V 4E1 Ve Le c 2z2xBHxD 4 26 5 7 ALPHA D Note You can use menu key fo assist in the entry of equations Enter known 3 Display the Solve num
188. 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 8 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 specified independent data column in ascending or descending order and rearranges a specified 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 CLEAR to display a menu list then select the current column or all columns option and press Moves to the first or last row or first cursor key orlast 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
189. ponential Also accepts complex numbers e value Example e 5 returns 148 413159103 Natural logarithm Also accepts complex numbers LN value Example LN 1 returns 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 sin x Output range is from 90 to 90 x 2 to 1 2 or 100 to 100 grads Inputs and outputs depend on the current angle format Also accepts complex numbers ASIN value Example ASIN 1 retums 90 Degrees mode Arc cosine cos x 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 of 1 lt x lt 1 ACOS value Example ACOS 1 returns 0 Degrees mode Using mathematical functions SHIFT ATAN SHIFT 7 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
190. predict the effect of more advertising on sales Advertising minutes Resulting Sales independent x dependent y Statistics aplet 8 1 Open the Statistics aplet Enter data 8 2 1 Open the Statistics aplet and clear existing data by pressing 83931 APLET Select Statistics DE EDIT IEEE TEETH The Statistics aplet starts in the Numerical view 1VAR 2VAR menu key labe At any time the Statistics aplet is configured for only one of two types of statistical explorations one variable HER or two variable The 5th menu key label in the Numeric view toggles between these two options and shows the current option Select HIE You need to select HNA 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 ETE 19 Ee UTC 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 SETUP SYMB SEN STATISTICS SYMEOLIC SETUP ANGLE MEASURE EF adianz v 1 seFIT Linear saFIT L iniear innear Select Linear ssFIT L ineat CHOOSE STATISTICS MODEL TYPE es
191. quations 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 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 lis Open the Parametric aplet Select Parametric Define the expressions 3 x 0 3 x X5 0 APLET LIERARY 5 Funct ion Inferential Parametric AK Polar HEE Sequence HKE Bt 20 TART taris aoc T EDIT EYAL PARAMETRIC SYMBOLIC VIEH SERERE fALCTISSeSIHeTs 2834005 CTO IBI Lu 4 Set angle measure Set up the plot Plot the expression 42 4 Set the angle measure to degrees MODES Select Degrees CHOOSE ANGLE MEASURE Display the graphing options SHIFT PLOT PARAMETRIC PLOT SETUP TSTEP 1 9 9 YRMG 1 3 2 ENTER MINIMUM TIME VALUE E EDIT The Plot Setup input form has two fields not included in the Function aplet TRNG and TSTEP TRNG specifies the range of t values
192. que 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 Precision set to 1 FUNCTION wot 3713 e Precision set to 2 Sm FUNCTION 3713 cad roe RENI e Precision set to 3 SE ET nus roe cad 11 47 e Precision set to 4 PARAL FUNCTION n 234 114 23d 117 588 Fraction When entering fractions calculations You use the key to separate the numerator part and the denominator part of the fraction enter a mixed fraction for example 11 2 you enter it in the format 1 5 For example to perform the following calculation 3 23 4 5 g 1 Set the Number format mode to Fraction and specify a precision value of 4 Select Fraction SHIFT MODES v iet AMGLE MEASURE Radians Select MUMEER FORMAT Fragt ion DECIMAL MARK Dot Fraction asus EMTER DECIMAL PLACES TO USE ENTER gt 4 Getting started 1 27 Converting decimals to fractions 1 28 2 di Enter the calculation 36 909203 FU
193. r 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 in terms of U1 n 1 in terms of U1 n 2 in terms of another sequence for example U2 n in any combination of the above The Sequence aplet allows you to create two types of graphs Stairsteps graph plots n on the horizontal axis and U on the vertical axis Cobweb graph plots on the horizontal axis and U on the vertical axis Getting started with the Sequence aplet The following example defines and then plots an expression in the Sequence aplet Open the 1 Open the Sequence aplet Sequence aplet Sequence aplet Select SEQUENCE SYMEULIC Sequence Wicd The Sequence aplet Y 29 p NN starts in the Symbolic view 6 1 Define the expression Specify plot settings Plot the sequence 6 2 2 Define the Fibonacci sequence in which each term a after the first two is the sum of the preceding two terms U 1 U 1 U U _ U _ forn gt 3 n n In the Symbolic view of the Sequence aplet highlight the U1 1 field and begin defining your sequence 1 1 Eus SEQUENCE SYMEOLIC TEH BE GEER E CH 22 Note You can use the
194. r 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 matrix Least Squares Displays the minimum norm least squares matrix or vector LSQ matrix1 matrix2 LU Decomposition Factors a square matrix into three matrices tlle 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 13 11 QR RANK ROWNORM RREF SCHUR SIZE SPECNORM SPECRAD 13 12 calculation for each element substitutes the current row number for and the current column number for J MAKEMAT expression rows columns Example 0 3 3 returns a 3x3 zero matrix 0 0 0 0 0 0 0 0 0 QR Factorization Factors an mxn matrix into three matrices mxm orthogonal mxn uppertrapezoidal nxn pe
195. r tail chi squared probability 11 12 upper tail normal probability 11 13 upper tail Snedecor s F 11 13 upper tail student s probability 11 13 user defined regression fit 8 13 V value recall 12 3 storing 12 2 variables aplet 12 1 categories 12 7 definition 12 1 12 7 R 2 in equations 7 10 in Symbolic view 2 3 independent 16 35 local 12 1 previous result Ans 1 23 printing 16 25 root 16 33 roottinding 3 10 step size of independent 16 35 types 12 1 12 7 use in calculations 12 3 VARS menu 12 4 12 5 vectors column 13 1 cross product 13 10 definition of R 2 views 1 18 configuration 1 18 definition of R 3 W warning symbol 1 8 where command 11 18 X Xcross variable 16 35 xrng 2 6 Y Ycross variable 16 36 yrng 2 6 7 Z Interval 9 15 zoom 2 18 axes 2 12 box 2 9 center 2 9 examples of 2 11 factors 2 13 in 2 9 options 2 9 3 8 options within a table 2 18 out 2 9 redrawing table of numbers op tions 2 18 square 2 10 un zoom 2 11 within Numeric view 2 18 X zoom 2 9 Y zoom 2 10 Index
196. r 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 a variable by pressing listname ENTER The list variable names are LO through L9 This example stores the list 25 147 8 in L1 Note You can omit the 52 9549 1 final brace when 25 147 82 entering a list D 14 3 Displaying and editing lists To display a list In the List catalog highlight the list name and press n HOME enter the name of the list and press ENTER To display one In HOME enter listname elementZ For example if L2 is element 3 4 5 6 then 12 2 returns 4 To edit a list 1 Open the List catalog SHIFT LIST EDT 2 Press a to highlight the name of the list you 5 TB NETT NETTEN CO T TT 3 Press 4 to highlight the element you want to edit In this example edit the third element so thot it has a value of 5 v ee 30 5 9 4 Press 14 4 Lists Toinsertan element 1 Open the List catalog in a list HERI 2 Press or to highlight the name of St OD the list you
197. 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 EEE scatter plots Once you have entered your data NUM 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 1 In Symbolic view 5 select the data sets you want to plot 2 For one variable data EIE select the plot type in Plot Setup SHiFT SETUP PLOT Highlight STATPLOT press 08 select either Histogram BoxWhisker and press BIB Plot types Histogram Box and Whisker Plot Scatter Plot 3 For any plot but especially for a histogram adjust the plotting scale and range in 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 If you have not adjusted the Plot Setup yourself you can try select Auto Scale Auto Scale can 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 including
198. rmutation QR 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 Spectral Norm of matrix SPECNORM matrix Spectral Radius of a square matrix SPECRAD matrix Matrices SVD SVL TRACE TRN Examples Identity Matrix Transposing a Matrix Matrices Singular Value Decomposition Factors an m x n matrix into two matrices and a vector m square orthogonal n 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 2x
199. rpreting results 7 6 plotting to tind guesses 7 7 setting number format 7 5 solve variables axes 16 30 connect 16 30 fastres 16 31 grid 16 31 in menu map 1 1 indep 16 32 labels 16 33 recenter 16 33 ycross 16 36 sorting 17 6 aplets in alphabetic order 17 6 aplets in chronological order 17 6 elements in a list 14 9 spectral norm 13 12 spectral radius 13 12 square root 11 5 stack history printing 16 25 stairsteps graph 6 1 standard number format 1 11 statistics analysis 8 1 analyzing plots 8 19 angle mode 8 12 calculate one variable 16 29 calculate two variable 16 29 data set variables 16 39 Index data structure 16 39 define one variable sample 16 29 define two variable data set s de pendent column 16 29 define two variable data set s in dependent column 16 29 detining a fit 8 12 defining a regression model 8 12 deleting data 8 11 editing data 8 11 frequency 16 29 inserting data 8 11 plot type 8 18 plotting data 8 15 predicted values 8 20 regression curve fit models 8 12 saving data 8 10 sorting data 8 11 specitying angle setting 8 12 toggling between one variable and two variable 8 12 tracing plots 8 19 troubleshooting with plots 8 18 zooming in plots 8 19 statistics variables Axes 16 30 Connect 16 30 Grid 16 31 Hmin Hmax 16 31 Hwidth 16 32 in menu map R 12 Indep 16 32 Labels 16 33 Recenter 16 33 51 55 16 33 16 36 step size of independent variable 16 35 storing list e
200. rs 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 Statistics aplet CLEAR Erases the plot VIEW Offers additional pre defined views for splitting the screen overlaying plots and autoscaling the axes Moves cursor to far left or far right Displays ZOOM menu Turns trace mode on off The white box appears next to the option when Trace mode is active Meaning Continued Turns fit mode on or off Turning on draws a curve to fit the data points according to the current regression model 2var Enables you to specify a value on the statistics only line of best fit to jump to or a data point number to jump to EFM Displays the 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 cur
201. rt 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 NUM 4 Clear existing data in the table SHIFT CLEAR Aplets and their views 2 19 5 Enter the independent values in the left hand column Type in a number and press You do not have to enter them in order because the function can rearrange them To insert a number between two others use You enter numbers into i the X column EDIT IN 3DRT Elia DEEM Fl and F2 entries are generated automatically Clear data Press sHiFT CLEAR to erase the data from a table Build Your Own menu keys Key Meaning EDIT DEL SHIFT CLEAR Puts the highlighted independent value X T or into the edit line Pressing replaces this variable with its current value Inserts a row of zero values 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 MA Toggles between two character sizes Displays the defining function expression for the highlighted column Deletes the highlighted row Clears all data from the t
202. s ROUND SIGN TRUNCATE XPON 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 68 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 y Examples SIGN 2 returns 1 SIGN 3 4 returns 6 8 Truncates value to decimal places Accepts complex numbers TRUNCATE value places Example TRUNCATE 2 3678 2 returns 2 36 Exponent of value XPON value Example XPON 123 4 returns 2 Two variable statistics 11 16 These are functions for use with two variable statistics See Two variable on page 8 14 Using mathematical functions Symbolic functions equals ISOLATE LINEAR QUAD Using mathematical 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 Sets an equality for an equation This is not a logical operator and does not store values See Test functions on page 11 18 expression 1 expression2
203. s 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 variables 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 R 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 to access the variables in the right column column press Use the arrow keys to select a variable in the right To copy the name of the variable onto the edit line Iria is the default setting Variables and memory management 6 To copy the value of the a variable into the edit line press HEH and max 3 2 press ol O T You can use the Memory Manager to determine the amount of available memory on the calculator You can also us
204. s 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 CROSS M1 1 2 Matrix commands are listed in the CMDS menu SHIFT CMDS in the matrix category See Matrix commands on page 16 23 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 COLNORM COND CROSS 13 10 For row or column supply the number of the row counting 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 Column Norm Finds the maximum value over all columns of the sums of the absolute values of all elements in a column COLNORM matrix Condition Number Finds the 1 norm column norm of a square matrix coND matrix Cross Product of vector with 2 CROSS vectorl vector2 Matrices DET DOT EIGENVAL EIGENVV IDENMAT INVERSE LQ LSQ LU MAKEMAT Matrices Determinant of a square matrix DET matrix Dot Product of two arrays matrix matrix2 DOT matrix 1 matrix 2 Displays the eigenvalues in vector form fo
205. s menu key labels and off If menu key labels are hidden 2 or any menu key redisplays the menu key labels 1 In an aplet press SHIFT SKETCH for the Sketch view 2 In Sketch view press and move the cursor to where you want to start the line Press This turns on line drawing 4 Move the cursor in any direction to the end point of the line by pressing the a v J keys 5 Press W3 to finish the line To draw a box To draw a circle DRAW keys 15 4 In Sketch view press and move the cursor to where you want any corner of the box to be Press ERR 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 M and move the cursor to where you want the center of the circle to be Press MAAA This turns on circle drawing Move the cursor the distance of the radius Press BI 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 when you have finished You can draw a line at any angle DEI 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 posit
206. s of x For example 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 and a quadratic equation 3 2 1 Open the Function aplet Function aplet Select Function FUNCTION SYMEOLIC WEH S 4 42 The Function aplet starts F5 x3 EDIT f CHE n NN Ee in the Symbolic view 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 1C SERES FUNCTION SYMEOLIC VIEH Sess 0 530 O 2 ENTER
207. s set 2 Press SHIFT SETUP SYMB to display the Symbolic Setup view Highlight the Fit number S1FIT to SSFIT you want to define 3 Press GEE and select from the list Press pma when done The regression formula for the fit is displayed in Symbolic view Fit models Eight fit models are available Default Fits the data to a straight line y mx b Uses least squares fit Logaritmisc Fits to a logarithmic curve h y mlnx b Macht Fits to an exponential curve Fits to a power curve bx 8 12 Statistics aplet Fit model 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 m where L is the saturation value for growth You can store a positive real value L or if L O let computed automatically User Define your own expression in Defined Symbolic view To define your 1 In Numeric view make sure EDITI is set own fit 2 Display the Symbolic view 3 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 S1 FIT etc in the Symbolic Setup view to User Defined Co
208. sition positions 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 39g 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 fest clause END lb A DO A 1b5 A UNTIL A 12 END 16 22 Programming WHILE REPEAT END FOR TO STEP END BREAK While Repeat End is a loop command that repeatedly evaluates fest clause and executes loop clause sequence if the test is true Because the test clause is executed before the loop clause the loop clause is not executed if the test is initially false Its syntax is WHILE fest clause REPEAT loop clause END WHILE lt 12 REPEAT 1 PA END FOR TO end expression STEP increment loop clause END FOR A 1 TO 12 STEP 1 DISP 3 A END Note that the STEP parameter is optional If it is omitted a step value of 1 is assumed Terminates loop BREAK Matrix commands A
209. splay on default 0 gt 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 or In a program type 1 gt FastRes for faster default 0 gt FastRes for more detail 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 n b Hmin n gt Hmax where n n 16 31 Hwidth Statistics Indep All Aplets InvCross All Aplets Isect Function Labels All Aplets 16 32 Sets the width of histogram bars From Plot Setup in 1VAR stats set a value for Hwidth or In a program type nb Hwidth Defines 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 55 or In a program type 1 gt InvCross to invert the crosshairs 0 gt InvCross for solid crosshairs default Contains the last value foun
210. st 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 16 13 If you press a key that does not operate in the current context a warning symbol like this A appears There is no beep A menu offers you a choice of items Menus are displayed in one or two columns The Eg a ii FINCTIDH zs does means more Co CEILING Erate Two DEG RAD items below Symbolic FLOOR u Tests FHREDDT j The arrow in the ESTER IR Ok display means more items above e Press v or to scroll through the list If you press v or 4 you ll go all the way to the end or the beginning of the list Highlight the item you want to select then press gig or ENTER Getting started To cancel a 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 Seen speed search a list type the first letter of the word For example to find the Matrix cate
211. t 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 ANS from 50 to 75 to 100 50 ENTER 25 FUNCTION as Rns z5 iB 1 TOF You can 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 ng expression using the arrow keys then pressing See Using previous results on page 1 22 for more details The variable Ans is different from the numbers in HOME s display history A value Ans is stored internally with the full precision of the calculated result whereas the displayed numbers match the display mode HINT Storing a value in a variable 1 24 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 Pr
212. t prior written permission from Hewlett Packard Company is also prohibited Preface Getting started On off cancel operations To turn on To cancel To turn off Getting started Press ON fo turn on the calculator When the calculator is on the ON key cancels the current operation Press sHiFT 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 1 1 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 Fis Title 6 2 History m Edit line 1299 EINEN ee Menu key labels Menu key or soft key labels The labels for the menu keys current meanings 3 is the label for the first menu key in this picture Press
213. te edit keys THIS IS MY TEST on page 152 for more information on the entry and editing of catalog EE EDEN EN EE 761 notes 5 When you are finished press or an aplet key to exit Notepad Your work is automatically saved Key Meaning EDIT Opens the selected note for editing HEH Begins a new note and asks for a name Transmits the selected note to another hp 39g or PC RECI Receives a note being transmitted from another hp 39g or PC DEL Deletes the selected note CLEAR Deletes all notes in the 15 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 to copy the contents of Assignments to the Function Note view Note To recall the name instead of the contents press PETE instead of MA 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 highlight Note in the left column then press and highlight NoteText in the right column 3 Press DI to recall the contents of the Note view in
214. the Symbolic view define H1 for example as C1 sample and 1 frequency SYMB mL E erga Hz i H3 1 H4 1 iRHPLE PEDIT CHE c EVAL 5 Go to the Numeric view to display calculated statistics See One variable on page 8 13 for the meaning of each computed statistic Lists 15 Notes and sketches Introduction The hp 39g 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 4 While Alpha lock is on type a single letter of the opposite case press letter 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
215. thematical functions For example to find the indefinite integral of fx 5dx use 0 S13X 5 X f 1 Enter the function Sm FUNCTION SHIFT d dx O E SI 03 280343904801 ALPHA X 5 STOF ALPHA X D 2 Show the result format Ao A Seed 7 RW EDDIE RU e BEER ERES ERE 3 Press to close the show window 4 Copy the result and RAD evaluate TCA Si 24H25 X o ume m 5851 74240513789 TOk hp 39g Thus substituting X for S1 it can be seen that 3 X 3x 5ax 5x 3 Y 3x This result is derived from substituting 5 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 45 To see this consider 2 dx 11 23 11 24 The extra constant of 6 4 results from the substitution of x 0 into 2 gt 5 and should disregarded if an indefinite integral is required FARAD FUNCTION TEA Sia ee ee ord ear Camel dt tae CS1 29 55 6 4 Using mathematical functions 12 Variables and memory management Introduction The hp 39g has approximately 232K of user memory The calculator uses this memory to store variables perform computations an
216. ther into other programs that perform smaller tasks Program catalog Open Program Catalog 16 2 The Program catalog is where you create edit delete send receive or run programs This section 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 e stop a program 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 39g 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 Meaning SHIFT or DEL SHIFT CLEAR Opens the highlighted program for editing Prompts for a new program name then opens an empty program Transmits the highlighted program to another hp 39g
217. tion in an expression It is clearest to enter AB as HINT Implied multiplication will not always work as expected For example entering A B 4 will not give A B 4 Instead an error message is displayed Invalid User Function This is because the calculator interprets A B 4 as meaning evaluate function A at the value B 4 and function A does not exist When in doubt insert the sign manually Parentheses 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 39g calculates according to the order of algebraic precedence the next topic Following are some examples using parentheses Entering Calculates SIN 45 T sin 45 n SIN 45 D SHIFT x sin 45 x 85 x 9 A 85 x 9 Y 08506990 A85 x 9 Getting started 1 21 Algebraic precedence order of evaluation Largest and smallest numbers Clearing numbers Using previous results 1 22 Functions within an expression are evaluated in 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 fu
218. tion 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 Functions common to keyboard and menus These functions are common to the keyboard and MATH menu SHIFT For a description see on page 11 8 ARG For a description see ARG on page 11 7 d dx For a description see 9 on page 1 7 SHIFT AND For a description see AND on page 11 19 Using mathematical functions sHiFT 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 11 12 SHIFT X For a description see X on page 11 10 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 x Keyboard functions ELELEE me 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 4 value2 etc Natural ex
219. to define F X The only independent variable in the expression is X Hi dnt e PARAMETRIC etri c FEET definition enter pair of Y2CT3 expressions to AoC I define X T and PE Y T The only independent variable in the expressions is T For a Polar definition enter POLAR VIEH an expression to Race a define R 0 The Saas only independent RSCA I variable in the expression is 0 For a Sequence definition either Enter the first and second terms for U Tc or U9 or 3 UO Define the nth term of the sequence in terms of N or of the prior terms U N 1 and 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 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 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 FUNCTION SYMEOLIC See y Fach i F4ch
220. to the note Assignments 15 8 Notes and sketches 16 Programming Introduction HINT The Contents of a Program Structured Programming Programming This chapter describes how to program using the hp 39g 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 39g 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 If a program has a space in its name then you have to put quotes around it when you want run it 16 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 fur
221. trated batteries b Insert 3 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 b Insert a new CR2032 lithium battery Make sure its positive side is facing up c Replace the plate and push it to the original place After installing the batteries press ON to turn the power on Warning 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 Reference information R 5 Variables Home variables The home variables are Category Available name Complex Graphic Library List Matrix Modes Notepad Program Real 295080 Function Parametric Polar sequence Solve Statist User named I9 M1 M9 MO Ans Date HAngle HDi gilts HFormat lerr Time User named Editline User named O R 6 Reference information Function aplet variables The function aplet variables are Reference information Category Available name Plot Axes Xcross Connect YCross Coord Xtick FastRes Ytick Grid Xmin Indep Xmax InvCross Ymin Labels Ymax Recenter Xzoom Sxmult Yxoom Tracing Plot FCN Area Root Extremum Slope Isect Symbolic An
222. triawGLes in EI E1 SIHMCB3 0 H J ze 4 4 4 Fd Ag Be ce ES EDIT CHE EDIT EVAL 3 Change to the Numeric NES TRIRM GLEs MUMERIC VIEH ZSR view and enter the E known values NMEEEEEEEEEEEEEEN NUM EMTER VALUE PRESS SOLVE EDIT INFO DEFM SOLVE 35 ENTER 5 ENTER 4 Solve for the missing Se TRIRM GLEs MUMERIC VIEH Se value H EMTER VALUE PRESS SOLVE The length of the ladder EDIT INFO lt OLVE 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 17 3 Annotating an aplet with notes The Note view NOTE attaches a note to the current aplet See Chapter 15 Notes and sketches Annotating an aplet with sketches HINT The Sketch view SHIFT SKETCH attaches a picture to the current aplet See chapter 15 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 w
223. uck 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 not clear stored data variables aplet databases programs unless you use the procedure To erase all memory and reset defaults Press and hold the key and the third menu key 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 straightened metal paper clip into the hole as far as it will go Hold it there for 1 second then remove it 3 Press ON If necessary press ON and the first and last menu keys simultaneously To erase all memory and reset defaults Reference information 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 ON key the first menu key and the last menu key simultaneously 2 Release all keys 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 on If the hp 39g does not turn on follow the steps below until the calculator turns on You may find that the calculator turns on before you have complet
224. unction 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 R 17 R 18 Message Meaning Continued No Equations Checked OFF SCREEN Receive Error Too Few Arguments Undefined Name Undefined Result Out of Memory 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 Reference information Limiting Warranty Limiting Warranty hp 39g Graphing Calculator Warranty period 12 months l 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 defect
225. val 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 x 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 T Int 1 u the confidence interval for 1 mean based on the Student s t distribution Tnt the confidence interval for the difference of two means based on the Student s 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 unequal and z In this section we will use the example data for the Z Test on 1 mean to illustrate how the aplet works and what features the various views present Inference aplet Select the inferential method Enter data Inference aplet Select the Hypothesis Test inferential method He Hes eee MF STAT SYMEOLIC HETH Select HYPOTH TEST EB TFET INTERVAL m mP Chosg gn inrerentig nethed DE D
226. ve 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 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 Enter PREDY x value to find the predicted value of the dependent variable given a hypothetical independent variable 8 20 Statistics aplet Statistics aplet HINT 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 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 all fits except the one that you want to work with or use the Plot View method 8 2 Inference aplet About the Inference aplet 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 di
227. want to edit 3 29 Bo L1 etc and press S TB to display the list HT 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 HE EDIT LES To store one In HOME enter value listname element For element example to store 148 as the second element in L1 type Lists 14 5 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 14 6 You can send lists to calculators or PCs just as you can aplets programs matrices and notes 1 Align the hp 39g calculators infrared ports 2 Open the list catalogs on both calculators 3 Highlight the list to send 4 Press BEET 5 Press idis on the receiving calculator 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 copy the name of the function from the List category of the MATH menu Press 0 the alpha L character key This highlights the List category in the left
228. which define the payment schedule 4 Press the 7 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 remaining 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 press the 112 soft menu key to produce the results shown to the right SUSE SESE SESE EEE SEES custo aeos AMORTICE EN PAYMENTS 128 PRINCIPAL PRIMCIFAL e INTEREST INTEREST 956 45 127 164 13 ENTER PHYMENTS TO TH ESPN ROR EDIT OT PR To continue amortizing the loan 1 Press the 337 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 10 7 3 Press the 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 1O years of the mortgage loan First press the PAYMENTS field press the soft menu key to produ
229. wo options another hp 399 or a disk drive or computer 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 Extending aplets Once you have entered information into an aplet you have defined a new version of an aplet The information is automatically saved under 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 17 5 To sort the In the aplet library press Select the sorting scheme aplet list 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 To delete an You cannot delete a built in aplet You can only clear its aplet data and reset its default settings To delete a customized aplet open the aplet library highlight the ap
230. xample In HOME store 3 5 8 12 17 23 in L5 and find the first differences for the list FU HOME SHIFT FARAD MCTIOM 2 8484 12 iri 23 13 5 9 12 17 23 Lore 199 tes dS 283 e SHIFT ALPHA 2 8 4 5 62 L5 ru TRA ATH L 9 ALPHA L5 14 7 MAKELIST TILIST POS REVERSE 14 8 Calculates a sequence of elements for a new list Evaluates expression with variable trom 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 L Select MAKELIST Ei 2 23 27 17 ALPHA 1529 576 625 676 7293 A0230 EOE 27 L 1 0 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 position of the first occurrence is returned A value of O is returned if there is no occurrence of the specified element POS list element Example POS 3 7 12 19 12 returns 3 Creates a list by reversing the order of the elements in a list REVERSE list Lists SIZE C
231. you can send aplets programs lists and notes 1 Align the hp 39g calculators infrared ports 2 Open the Matrix catalogs on both calculators 3 Highlight the matrix to send 4 Press BN 5 Press 390 on the receiving calculator matrices In the Matrix catalog highlight the name of the matrix you want to edit and press 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 or a column of zeros to the left of the highlighted cell You are prompted to choose row or column A three way toggle for cursor advancement in the Matrix editor HE advances to the right HES advances downward and does not advance at all Switches between larger and smaller font sizes DEL Deletes the highlighted cells row or column you are prompted to make a choice CLEAR Clears all elements from the matrix Matrices To display a matrix To display one element To create a matrix in HOME Matrices Key Meaning Continued A Moves to the first row last row first v x column or last column respectively n the Matrix catalog suirr MATRIX highlight the matrix name and press n HOME enter the name of the matrix variable and press ENTER In HOME enter matrixname row column For example 2 is 3 41 5

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