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hp 39g+ graphing calculator user’s guide H 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 WITHO UT NOTICE.
Contents i Contents Preface Manual conventions ............. ............. ............. ............. .......... P-1 Notice ............ ............. .......... ............. ............. ............. ....... P-2 1 Getting started On/off, cancel o perations .
ii Conten ts 3 Function aplet About the Function ap let .............. ............. .......... ............. ...... 3-1 Getting started w ith the Function aple t ......... ............. .......... 3-1 Function aplet intera ctive analysis ....... ....
Contents iii 9 Inference aplet About the Inference a plet ......... ............. ............. ............. ....... 9-1 Getting started with the Infere nce aplet .............. ............. .... 9-1 Importing samp le statistic s from the Statis tics aplet .
iv Conten ts 12 Variables and memory management Introduction ........... ............. .......... ............. ............. ........... 1 2-1 Storing and recalling variables ............... ............. ............. .... 12-2 The VARS menu ...... .
Contents v 16 Programming Introduction .. ............. .......... ............. ............. ............. ........ 16-1 Program catalog ...... ............. ............. ............. ............. .. 16-2 Creating and editing p rograms ........ .
vi Conten ts Reference information Glossary ............. ............. .......... ............. ............. ............. ... R-1 Resetting the hp 39g+ ....... .......... ............. ............. ............. ... R-3 To erase all me mory and reset defaults .
Preface P-1 Pr eface The hp 39g+ is a feature-rich graphing c alculator. 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 prop erties. You can get more information on the hp 39g+ from Hewlett-Packard’s Calcula tors web site.
P-2 Preface Notice This manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent prohibit ed by law, Hewlett-Packard Company makes no .
Getting started 1-1 1 Get ting star ted On/off, cancel operations To turn on Press to turn on the calculator. To cancel When the calculator is on, the key cancels the current operation. To turn off Press OFF to turn the calculator off. To save power, the ca lculator turns itself off after sev eral minutes of inactivity.
1-2 Getting started The display To adjust the contrast Simultaneously press and (or ) to increase (or decrease) the contrast. To clear the display • Pr ess CANCEL to c lear the edit line. • Pr ess CLEAR to c lear the edit line and the display history .
Getting started 1-3 Annunciators . Annunciators are sy mbols that ap pear above the title bar and give you important status information. The keyboard Menu keys Annunciator Description Shift in effect for next keystrok e. To cancel, press again. α Alpha in effect for next keystroke.
1-4 Getting started • On the calc ulator k ey boar d, the top r ow o f k e ys ar e called menu k ey s. The ir meanings depend on the conte xt—that’s w h y their to ps ar e blank. The menu k e y s ar e sometimes called “ s oft k e ys ” . • T he bottom line o f the displa y sho ws the labels f or the menu k ey s ’ curr ent meanings.
Getting started 1-5 Entry/Edit keys The entry and edit keys are: K ey Meaning ( CANCEL ) Cancels the current operation if the calculator is on by pressing . Pressing , then OFF turns the calculator off. Accesses the function printed in blue above a key.
1-6 Getting started Shifted keys trokes There are two shift keys that you use to access the operations and characters printed above the keys: and . CHARS Displays a menu of all avai lable characters. To type one, use the arrow keys to highlight it, and press .
Getting started 1-7 HELPWITH The hp 39g+ built-in help is availa ble in HOME only. It provides syntax help for bu ilt-in math functions. Access the HELPWITH command by pressing SYNTAX and then the math key for which you require syntax help.
1-8 Getting started • Pr essing tak es yo u to the beginning of the MA TH men u . See “Math functions by category” on page 11-2 for details of the math functions. HINT When using the MA TH menu , or an y menu on the hp 3 9g+, pressing an alpha k e y tak es y ou str aight to the fir st menu opti on beginning w ith that alpha char acter .
Getting started 1-9 • If ther e are tw o c olumns , the left column sho ws gener al categor ies and the r ight column sho ws spec ifi c cont ents w ithin a categor y . Highli ght a gener al category in the left column, the n highligh t an item in the r ight column .
1-10 Getting started Mode settings You use the Modes inpu t form to set the modes for HOME. HINT Although the numeric setting in Modes affects only HOME, the angle setting controls HOME and the current aplet. The angle setting selecte d in Modes is the angle setting used in both HOME and current aplet.
Getting started 1-11 Numb er Format 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 be comes 123.
1-12 Getting started Setting a mode This example demonstrates how to change the angle measure from the default mode, radians, to degrees for the current aplet. The procedur e is the same for changing number format and decimal mark modes. 1. Pr ess MODES to open the HOME MODES input form.
Getting started 1-13 • Cop ied fr om another calculator . Aplets are sto red in th e Aplet library. See “Aplet lib rary” on page 1-16 for further information. You can modify configuration settings for the graphical, tabular, and symbolic views of the aplets in the following table.
1-14 Getting started A great many more teaching ap lets 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.
Getting started 1-15 A button is provided to evaluate the student’s knowledge. Pressing displays a ta rget quadratic graph. The student must manipulate the equation’s parameters to make the equation match the target graph. When a student feels that they have correctly chosen the parameters a button evaluates the answer and provide feedback.
1-16 Getting started Pressing displays the equation at the top of the screen. The equation is controlled by the graph. Pressing the and keys moves from parameter to parameter. Pressing the or key changes the parameter’s values. The default angle setting for this aplet is radians.
Getting started 1-17 Plot view Pr ess to display the aplet’s P lot vi ew . In this v ie w , the f uncti ons that y ou ha v e def ined ar e displa y ed gr aphicall y . See “About the Plot view” on page 2-5 for furth er information. Numeric view Press to display the aplet’s Numeric view.
1-18 Getting started Overlay Plot view The VIEWS menu contains the Overlay Plot view. Select Overlay Plot Plots the current expression(s) without erasing any pre-ex isting pl ot(s). See “Other views for scaling and splitting the graph ” on page 2-14 for further information.
Getting started 1-19 Numeric Setup Press SETUP - NUM . Sets parameters for bui lding a table of numeric values. Symbolic Setup This view is only available in the Statistics aplet in mode, where it plays an important role i n choosing data models. Press SETUP - SYMB .
1-20 Getting started • Pr ess to e valuate the e xpre ssi on y ou hav e in the edit line (w here the blinking c urso r is) . An e xpressi on can contain n umbers , functi ons, and va riab l es.
Getting started 1-21 Explicit and implicit multiplication Implied multiplication takes place when two operands appear with no operator in between. If you enter AB , for example, the result is A*B . However, for clarit y, it is better to include the multiplication sign where you expect multiplication in an expression.
1-22 Getting started Algebraic precedence order of evaluation 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. E xpression s with in p arenthe ses.
Getting started 1-23 When you highlight a previous input or result (by pressing ), the and menu labels appear. To copy a previous line Highlight the line (press ) and press . The number (or expression) is co pied into the e dit line. To reuse the last result Press ANS (last answer) to put the last result from the HOME display into an expression.
1-24 Getting started HINT 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 displaye d. Pressing evaluates (or re-evaluates) the last input, whereas pressing ANS copies the last result (as ANS ) into the edit line.
Getting started 1-25 Accessing the display history Pressing enables the highlight bar in the display history. While the highlight bar is active, the following menu and keyboard keys are very useful: Clearing the display history It’s a good habit to cl ear the display his tory ( CLEAR ) whenever you have finish ed working in HOME.
1-26 Getting started 2 . Select Number Format , press to display the optio ns, and hi ghlight Fract ion . 3 . Pr ess to sele ct the Number F ormat option , then mo ve to the prec ision value fi eld. 4. Enter the prec ision v alue that yo u want to us e , and pr ess to set the pr ecisi on.
Getting started 1-27 • Pr ec ision set to 1: • Pr ec ision set t o 2: • Pr ec ision set to 3: • Pr ec ision set t o 4 Fraction calculations When entering fractions: • Y ou use the ke y to separate the numerator part and the denominator par t of the fr acti on.
1-28 Getting started 2. E n t e r t h e c a l c u l a t i o n . 32 3 45 7 8 Note: Ensur e y ou ar e i n the HOME v ie w . 3 . E valuat e the calc ulation . Converting decimals to fractions To convert a decimal value to a fraction: 1. Set the number for m at mode to Fraction .
Getting started 1-29 Complex numbers Complex results The hp 39g+ can return a comp lex number as a result for some math functions. A comp lex number appears as an ordered pair ( x, y ), where x is the real part and y is the imaginary part. For example, entering returns (0,1).
1-30 Getting started Catalogs and editors The hp 39g+ has several cata logs and editors. You use them to create and manipulate object s. They access features and stored values (numbe rs or text or other items) that are independent of aplets. • A catalog lists items, w hich y ou can delete or tr ansmit , for e xam ple an aple t .
Aplets and their views 2-1 2 Aplets and t heir vie w s Aplet views This section examines the options an d functionality of the three main views for the Function, Polar, Parametric, and Sequence aplets: Symbolic, Plot, and Numeric views.
2-2 Aplets and their views – For a F unc tion definiti on , en ter an e xpr essi on to def ine F(X) . T he only independent variab l e i n t h e ex p res s io n i s X. – Fo r a P arametric definiti on , en ter a pair of e xpr essi ons to def ine X(T) and Y(T) .
Aplets and their views 2-3 Evaluating expressions In aplets In the Symbolic view, a variable is a symbol only, and does not represent one specif ic value. To evaluate a function in Symbolic view, press . If a function calls another function, then reso lves all references to other functions in terms of their independent variable.
2-4 Aplets and their views In HOME You can also evaluate any expression in HOME by entering it into the edit line and pressing . For example, define F4 as below. In HOME, type F4(9) and press . This evaluates the expres sion, substituting 9 in place of X into F4 .
Aplets and their views 2-5 About the Plot view After entering and selecting (check marking) the expression in the Symbolic view, press . 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.
2-6 Aplets and their views Plot view settings The plot view settings are: Those items with space for a checkmark are settings you can turn on or off. Press to display the second page. F ield Meaning XRNG, YRNG Specifies the minimum and maximum horizontal ( X ) and vertical ( Y ) values for the plotting window.
Aplets and their views 2-7 Reset plot settings To reset the default values for all plot settings, press CLEA R in the Plot Setup view. To reset the default value for a field, highlight the field, and pres s . Exploring the graph Pl o t v i ew g i v e s y o u a s e l e c ti o n o f ke y s a n d m e n u ke y s t o explore a graph further.
2-8 Aplets and their views Trace a graph You can trace along a function using the or key which moves the cur sor along the graph. The display also shows the current coordinate position ( x, y ) of the cu rsor. Trace mode and the coordinate di splay are automatically set when a plot is drawn.
Aplets and their views 2-9 To jump direc tly to a value To jump straight to a value rather than using the Trace function, use the menu key. Press , then enter a value. Press to jump to the value. To turn trace on/off If the menu labels are no t displayed, press first.
2-10 Aplets and their views Y-Zoom In Divides vertical scale only, using Y-factor. Y-Zoom Out Multipli es vertical scale only, using Y-factor. Square Changes the vertical scale to match the horizontal scale. (Use this after doing a Box Zoo m, X-Zoom, or Y-Zoom.
Aplets and their views 2-11 ZOOM examples The following screens show the effects of zooming options on a plot of . Plot of Zoom In : In Un-zoom : Un-zoom Note: Press to move to the bottom of the Zoom list. Zoom Out : Out Now un -zoo m. X-Zoom In : X-Zoom In Now un -zoo m.
2-12 Aplets and their views X-Zoom Out : X-Zoom Out Now un-zoom. Y-Zoom In: Y-Zoom In Now un-zoom. Y-Zoom Out: Y-Zoom Out Zoom Square: Square To box zoom The Box Zoom option lets you dr aw a box aroun d the area you want to zoom in on by selecting the endpoints of one diagonal of the zoom rectangle.
Aplets and their views 2-13 5 . Pr ess to z oom in on the bo xe d ar ea . To set zoom factors 1. In the P lot v iew , pr ess . 2. P r e s s . 3. S e l e c t Set Factors... and pr es s . 4. Enter the z oom f actor s. T her e is one z oom facto r for the hori z ontal sc ale ( XZOOM ) and one f or the ve rtical sca le ( YZOOM ).
2-14 Aplets and their views Other views for scaling and splitting the graph The preset viewing options menu ( ) contains options for drawing the plot using certain pre-defined configurations.
Aplets and their views 2-15 Split the screen The Plot-Detail view can give you two simultaneou s views of the plot. 1. Pr ess . Selec t Plot-Detail and pr ess . The graph is plot ted twice . Y ou can now z o om in on the r ight si de. 2. P r e s s , selec t the z oom method and pres s or .
2-16 Aplets and their views 2 . T o mo ve up and do wn the table , use the and c urso r k e y s. T hese k ey s mov e the tra .ce poin t left or r ight alo ng the plot , and in th e table , the corr esponding v alues ar e highlighted . 3 . T o mo ve between functi ons, u se the and c urso r k e ys t o mo ve the c ursor fr om one gr aph to another .
Aplets and their views 2-17 Setting up the table (Numeric view setup) Press NUM to define any of the table settings. Use the Numeric Setup input form to configure the table. 1. H ighligh t the fi eld to edit . Use the arr ow k ey s to mov e from fie l d to fie l d.
2-18 Aplets and their views Reset numeric settings To reset the default values for all table settings, press CLEAR . Exploring the table of numbers NUM view menu keys The following table details the menu keys that you use to work with the table of numbers.
Aplets and their views 2-19 The display on the right is a Zoom In of the display on the left. The ZOOM factor is 4. HINT To jump to an inde pendent variable value in the ta ble, use the arrow keys to place the cursor in the independent variable column, then ente r the value to jum p to.
2-20 Aplets and their views 5 . Ente r the independent values in the le ft -hand column. T y pe i n a number and press . Y ou do not hav e to enter them in order , b ecause the function can r earr ange them. T o inser t a number between tw o oth ers, use .
Aplets and their views 2-21 Example: plotting a circle Plot the circle, x 2 + y 2 = 9 . First rearrange it to read . To plot both the positive and negative y values, you need to define two equations as follows: and 1. In the F unction aple t , spec if y the func tio ns.
2-22 Aplets and their views 5 . Displa y the functi ons in numer ic f orm ..
Function aplet 3-1 3 F unc tion apl et About the Function aplet The Function aplet enables you to explore up to 10 real-valued, rectangu lar functions y in terms of x .
3-2 Function aplet Define the expressions 2 . T here ar e 10 functi on def inition f ields on the F unction aplet’s S y mbolic v ie w sc r een . The y ar e labeled F1(X) to F0(X). Highligh t the func tion de f inition f ield y ou w ant to use , and e nter a n e xpr essi on .
Function aplet 3-3 Change the scale 6 . Y ou can chan ge t he sca le to see mo r e or l ess of your gr aphs . In this e xam ple , choos e Auto Scale . (S ee “VIEW S menu options ” on page 2 -14 for a de script ion of Aut o Sc a le ) . Select Auto Scale Trace a graph 7 .
3-4 Function aplet Analyse graph with FCN functions 9. Display the Plot view menu. 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 Functi on aplet (and any Function-based ap lets).
Function aplet 3-5 12 . Ch oose the linear f unctio n wh ose in ter sec tion w ith the quadr atic functi on y ou w ish to f ind . T he coor dinates of the inters ecti on po int ar e display ed at the bottom of the scr een.
3-6 Function aplet 15 . Mo v e the c urso r to b y pr essing the or key . 16 . Pr ess to accept u sing F2(x) = (x + 3) 2 – 2 as the other boundar y for the integr al. 17 . Choos e the end value for x . 2 Th e cu r so r ju mp s to x = –2 on the linear func tion .
Function aplet 3-7 HINT The Root and Extremum 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-l ocate the cursor to find other roots or extrema that may exist.
3-8 Function aplet To navigate around a table 2 4. Mov e to X = –5 .9 . 6 times To go directly to a value 2 5 . Mov e direc tly to X = 10. 1 0 To access the zoom options 2 6. Z oom in on X = 10 by a factor of 4. No te: NUMZOOM has a setting of 4 . In To change font size 2 7 .
Function aplet 3-9 Function aplet interactive analysis From the Plot view ( ), you can use the functions on the FCN menu to find r oots, intersections, slopes, and areas for a function defined in the Function aplet (and any Function-based aplets). See “FCN functions” on pag e 3- 10.
3-10 Function aplet 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 root-finder is also used in the Solve aplet.
Function aplet 3-11 Shading area You can shade a selected area between functions. This process also gi ves you an appro ximate measurement of the area shaded. 1. Open the Functi on aplet. T h e F unction aplet opens in the S ymboli c v ie w . 2 . Selec t the e xpr essi ons w hos e curv es y ou wan t to stu dy .
3-12 Function aplet Plotting a piecewise-defined function Suppose you wanted to plot the following piecewise- defined function. 1. Open the F unctio n apl et. Sele ct Function 2 . Highlight the line y ou wa nt to us e , and ente r the e xpre ssion . (Y ou can press to delete an e x isting line , or CLEAR to clear all lines .
Parametric aplet 4-1 4 Pa r a m e t r i c a p l e t About the Parametric aplet The Parametric aplet allows you to explore parametric equations. These are equ ations in which both x and y are defined as functions of t .
4-2 Parametric aplet Set angle measure 3 . Set the ang le meas ure to degr ees. MODES Select Degrees Set up the plot 4. Display the graphing options. PLOT T he P lot Setu p input fo rm has tw o fie lds not inc luded in the Func tion aplet , TRNG and TSTEP .
Parametric aplet 4-3 Overlay plot 8. Plot a triangle graph over the existing circle graph. PLOT 120 Sele ct Overlay Plot A tri angle is displa yed r ather than a c irc le (w ithout c hanging the equation) becaus e the c hanged value o f TSTEP ensur es that points be ing plot ted ar e 120 ° apart instead o f nearl y continuou s.
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Polar aplet 5-1 5 Po l a r a p l e t Getting started with the Polar aplet Open the Polar aplet 1. Open the P o lar aplet. Sele ct Polar L ik e the Func tion a plet , the P o lar aplet opens in the S ymboli c v ie w . Define the expression 2 . Def ine the polar equati on .
5-2 Polar aplet Explore the graph 5 . Display the P lot v ie w menu k ey labe ls. Th e Pl o t vi ew o p t i o n s av ailable ar e the same as those f ound in the F unction aplet . See “Explor ing the gra ph ” on page 2 - 7 fo r further infor mation .
Sequence aplet 6-1 6 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 o f U1 ( n –1) •i n ter ms of U1 ( n –2) • in ter ms of another sequence , for e xample , U2 ( n ) • in an y combination of the a bo ve .
6-2 Sequence aplet Define the expression 2 . Define the F i bonacc i sequenc e , in whi c h each ter m (after the f irst tw o) is the sum of the pr eceding t w o terms: , , fo r . In the S ymboli c v iew o f the Sequence aplet , highligh t the U 1 (1) f ield and begin def ining y our sequence .
Sequence aplet 6-3 Select Cobweb Display the table 6. Display the table of values f or this ex ample..
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Solve aple t 7-1 7 Solv e aplet About the Solve aplet The Solve aplet solves an equation or an expression for its unknown variable . You defi ne an equation or expression in the symbolic view, then supply valu es for all the variables except one in the nu meric view.
7-2 Solve a plet should be solved using matrices or graphs in the Function aplet. Getting started with the Solve aplet Suppose you want to find th e 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 distan ce of 100 m.
Solve aple t 7-3 4. Enter the v alues f or the know n var iable s. 2 7 7 8 1 6 6 7 1 0 0 HINT If the Decimal Mark setting in the Modes input form ( MODES ) is set to Comma, use instead of . Solve the unknown variable 5. Sol ve f or the unkno wn v ari able ( A ).
7-4 Solve a plet 6. P lot the equati on for v ar iable A . Sel ect Auto Scale 7 . T r ace along the graph r epr esen ting the left side of the equati on until the c ursor nears the inter sec tion . 20 times Note the v alue o f A display ed near the bot tom left corner of the scr een.
Solve aple t 7-5 Use an initial guess You can usually obtain a fa ster and more accurate solution if you supply an estimated valu e for the unknown variable before pressing . Solve starts looking for a solution at the initial guess. Bef ore plo tting, mak e sure the unkno w n var iable is highli ghted in the n umeri c vie w .
7-6 Solve a plet Interpreting results After Solve has returned a solution, press in the Numeric view for more information. You will see one of the following three messages.
Solve aple t 7-7 If Solve could not find a solution, you will see one of the following two messages. HINT 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.
7-8 Solve a plet where X is distance, V 0 is initial velocity, T is time, and A is acceleration. This is actually two equations, Y = X and Y = V 0 T + (AT 2 ) / 2 . Since this equation is quadratic for T , there can be both a positive and a negative solution.
Solve aple t 7-9 5. Move the cursor near the positive (right-side) intersection. This cursor value will be an initial guess for T . Pr ess until the c urs or is at the inters ecti on. Th e t wo po i nt s o f inter sec tion sho w that ther e ar e t w o soluti ons f or this equati on .
7-10 Solve a plet Using variables in equations You can use any of the real variable names, A to Z and θ . Do not use variable nam es defined for other ty pes, such as M 1 (a matrix variable).
Statistics aplet 8-1 8 Statis tic s apl et About the Statistics aplet The Statistics aplet can store up to ten data sets at one time. It can perform one- variab le 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.
8-2 Statistics aplet Open the Statistics aplet 1. Open the St atisti cs aplet and c lear ex isting data b y pr essing . Select Statistics Th e S t at i s t ic s ap l e t starts in the Numer ical view .
Statistics aplet 8-3 Choose fit and data columns 4. Se lect a fit in the S y mbolic setu p vi ew . SETUP - SYMB Sele ct Linear Y ou c a n c re a te up t o five ex p l o ra t io n s o f t wo - va ri ab l e data , named S1 to S5 . I n t h i s exa m p l e, we wi l l cre a t e jus t on e : S1 .
8-4 Statistics aplet Setup plot 8. Change the plotting range t o ensur e all the data points ar e plot ted (and select a diff er ent point mar k, if yo u wi s h ) . SETUP - PLOT 7 100 400 0 Plot the graph 9 . P lot the gr aph. Draw the regression curve 10.
Statistics aplet 8-5 Predict values 13 . T o f ind the pr edi cted s a les f igur e if ad v ertising w er e to go up to 6 minute s: S ( to highli ght Stat-Two ) (to highli ght PREDY ) 6 14. Retur n to the P lot vi e w . 15 . Jum p to the indicat ed point on the r egr essi on line.
8-6 Statistics aplet Entering and editing statistical data The Numeric view ( ) is used to enter data into the Statistics aplet. Each column represents a variable named C0 to C9 . After entering the data, you must define the data set in the Symbolic view ( ).
Statistics aplet 8-7 Example You are measurin g the height of students in a classroom to find the mean height. The first five students have the following measurements 160cm, 165cm, 1 70cm, 175cm, 180cm. 1. Open the Statistics apl et . Sele ct Statistics 2 .
8-8 Statistics aplet 3 . Fi nd the mean of the sample. Ensur e the / menu k e y label r eads . Pr ess to see the statistic s calc ulated fr om the sample data in C1 . Note that the title o f the colu mn o f st atis ti cs i s H1 . T here ar e 5 data set de f initions a vailable for one -var iable sta ti st ics: H1–H5 .
Statistics aplet 8-9 To continue our example, supp ose 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 .
8-10 Statistics aplet 5 . Mov e the highli ght bar into the r igh t column of the H1 def i nitio n and r epla ce the frequency v alue of 1 w ith the name C2 . 2 6 . R etur n to the numer ic v ie w . 7 . Ente r the fr equency data sho w n in the abo v e table .
Statistics aplet 8-11 Edit a data set In the Numeric view of the Statis tics aplet, highlight the data value to change. T ype a new value and press , or press to copy the value to the edit line for modification. Pr ess after modifying the value on the edit line.
8-12 Statistics aplet Defining a regression model The Symbolic view includes an expression (Fit1 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 d efault option to fit the data to a str aight line .
Statistics aplet 8-13 To define your own fit 1. In Numer ic v ie w , make sur e is set . 2 . Di spla y the S ymboli c v ie w . 3 . Highli ght the F it expr essi on ( Fit1 , etc.) f or the desir ed data set. 4. T yp e in an e xpr es sion a nd pr es s .
8-14 Statistics aplet When the data set contains an odd number of values, the data set’s median value is no t us ed when calculating Q1 and Q3 in the ta ble above.
Statistics aplet 8-15 Plotting You can p lot: • histogr ams ( ) • bo x -and-whisk er plots ( ) • sca tte r pl ots ( ) . Once you have ente red your data ( ), defined your data set ( ), and defined your Fit mod el for two- variable statistics ( SETUP - SYMB ), you can plot your data.
8-16 Statistics aplet 3 . Fo r any plot , but espec iall y f or a histogr am, adj ust the plotti ng scale a nd r ange i n the Plot Setup v iew . If yo u find histogr am bars too fat or too thin, y ou can adju st them b y adj usting the HWIDTH setti n g.
Statistics aplet 8-17 To connect the data points as they are plotted, checkmark CONNECT in the second page of the Plot Setup. This is not a regression curve. Fitting a curve to 2VAR data In the Plot view, press . This draws a curve to fit the checked two-variable data set(s).
8-18 Statistics aplet HINT In order to access the CORR and RELERR variables after you plot a set of statistics, you must press 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.
Statistics aplet 8-19 • T he cor r ect or menu labe l on (Numer ic vi ew ) . • T he corr ect fit (r egre ssion model), if the data set is tw o -v ar ia ble . • Only the data sets to compute or plot are chec kmark ed (S ymbolic v ie w) . • T he corr ect plotting r ange.
8-20 Statistics aplet Calculating predicted values The functions PREDX and PREDY estimate (predict ) values for X or Y given a h ypothetical value for the other. The estimation is made based on the curve that has been calculated to fit the data a ccording to the specified fit.
Statistics aplet 8-21 You can type PREDX and PREDY into the edit line, or you can copy these function names from the MATH menu under the Stat-Two category. HINT In cases where more than one fit curve is displayed, the P RED Y function uses the most recently calculated curve.
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Inference aplet 9-1 9 Inference aplet About the Inference aplet The Inference capabilities include calculation of confidence intervals and hy pothesis tests based on the Normal Z-distribution or Student’s t-distribution.
9-2 Inferenc e aplet Inference aplet’s SYMB view keys The table below summarizes the options available in Symbolic view. If you choose one of the hypoth esis test s, you can choose the alternative hypothesis to test against the null hypothesis.
Inference aplet 9-3 Select the inferential method 2. Select the Hypothesis Test inferential method. Select HYPOTH TEST 3. Define the type of test. Z–Test: 1 µ 4. Select an alternative hypothesis. µ< µ0 Enter data 5. Enter the sample stat istics and population parameters.
9-4 Inferenc e aplet By default, each field already contains a value. These values constitu te the example database and are expla ined in the feature of this ap let. Display on-line help 6. To display the on-line help, press 7. To close the on-line help, press .
Inference aplet 9-5 A calculator produces the following 6 ran dom numbers: 0.529, 0.295, 0.95 2, 0.259, 0.925, a nd 0.592 Open the Statistics aplet 1. Open the Statistics aplet and reset the current settings. Select Statistics The Statistics aplet opens in the Numeric view.
9-6 Inferenc e aplet Open Inference aplet 6. Open the Inference aple t and clear cu rrent settings . Select Inference Select inference method and type 7. Select an inference method. Select CONF INTER VAL 8. Select a distribution statistic type. Select T-Int: 1 µ Set up the interval calculation 9.
Inference aplet 9-7 Import the data 10. Import the data from the Statistics aplet. Note: The data from C1 is disp layed by default. Note: Press to see the statistics before importing them into the Numeric Setup view. Also, if there is more than one ap let based on the Statistics aplet, you are prompted to choose one.
9-8 Inferenc e aplet Hypothesis tests You use hypothesis tests to test the validity of hypotheses that relate to the statistical parameters of one or two populations.
Inference aplet 9-9 Results The results are: Two-Sample Z-Test Menu name Z-Test: µ 1– µ 2 On the basis of two samples, each from a separate population, this test measu res the strength of the evidence for a selected hypothesis against the null hypothesis .
9-10 Inferenc e aplet Results The results are: One-Proportion Z-Test Menu name Z-Test: 1π 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.
Inference aplet 9-11 Inputs The inputs are: Results The results are: Two-Proportion Z-Test Menu name Z-Test: π 1 – π 2 On the basis of statistics fr om two samples, each from a different population, the Two-Proportion Z-Test measures the stre ngth of the evidence for a selected hypothesis against the null hypothesis.
9-12 Inferenc e aplet Inputs The inputs are: Results The results are: One-Sample T-Test Menu name T-Test: 1 µ The One-sample T-Test is used when the population standard deviation i s not know n. On the basis of statistics from a single sample, this tes t measures the strength of the evidence for a selected hypothesis against the nu ll hypothesis.
Inference aplet 9-13 Inputs The inputs are: Results The results are: Field name Definition Sample mean. Sx Sample standard de viation. n Sample size. µ0 Hypothetical population mean. α Significance level. x Result Description Test T T-Test statistic.
9-14 Inferenc e aplet Two-Sample T-Test Menu name T-Test: µ 1 – µ 2 The Two-sample T-Test is used when the population standard deviation i s not know n. 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.
Inference aplet 9-15 Results The results are: Confidence intervals The confi dence interv al calcul ations that the hp 39g+ can perform are based on the Normal Z-distribution or Student’s t-distribution.
9-16 Inferenc e aplet Results The results are: Two-Sample Z-Interval Menu name Z-INT: µ1 – µ2 This option uses the Normal Z- distribution to calculate a confidence interval for the difference between the means of two populations, µ 1 – µ 2 , when the population standard deviations, σ 1 and σ 2 , are known.
Inference aplet 9-17 One-Proportion Z-Interval Menu name Z-INT: 1 π This option uses the Normal Z-distributio n to calculate a confidence interval for the proportion of successes in a population for the case in wh ich a sample of si ze, n , has a number of successes, x .
9-18 Inferenc e aplet Results The results are: One-Sample T-Interval Menu name T-INT: 1 µ This option uses the Student’s t-distribution to ca lculate a confidence interval for m, the true mean of a population, for the case in which the true population standard deviation, s, is unknown.
Inference aplet 9-19 Results The results are: Two-Sample T-Interval Menu name T-INT: µ 1 – µ 2 This option uses the Student’s t-distribution to calculate a confidence interval for the difference between the means of two populations, µ 1 – µ 2, when the population standard deviations, s1 and s2, are unknown.
9-20 Inferenc e aplet Results The results are: Result Description Critical T Critical value for T. µ Min Lower bound for µ 1 – µ 2 . µ Max Upp er bound for µ 1 – µ 2 .
Using th e Finance So lver 10-1 10 Using the Finance Solver The Finance Solver, or Fin ance 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: Press the key or the soft m enu key to activate the aplet.
10-2 Using t he Finance Sol ver Financial calculations involvin g compound interest include savings accounts, mo rtgages, 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 someti me in the future.
Using th e Finance So lver 10-3 modes: Begin mode and End mode. The following cash flow diagram shows lease payments at the beginning of each period. The following cash flow diagram shows deposits into an account at the end of each period.
10-4 Using t he Finance Sol ver Performing TVM calculations 1. Launc h the F inanc ial So lv er as indicated at the beginning of this secti on. 2 . Use the ar r o w ke ys to highligh t the diffe r ent f ields and enter the kno wn v ari ables in the TVM calc ulations , pr essing the soft -menu k e y af ter enter ing each kno wn value .
Using th e Finance So lver 10-5 Example 1 - Loan calculations Suppose you finance the purcha se of a car with a 5-year loan at 5.5% annual interest, compounded monthly.
10-6 Using t he Finance Sol ver Example 2 - Mortgage with balloon payment Suppose you have taken o ut 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 b alloon payment. Find the size of the balloon payment -- the value of the mortgage after 10 years of payment.
Using th e Finance So lver 10-7 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 F inance Sol v er as indicated at the beginning of t h is sect ion.
10-8 Using t he Finance Sol ver 3 . Pres s the soft menu k ey to amorti z e the new batch o f pay ments. Repeat st eps 1 thr ough 3 as often as needed. Example 4 - Amortization for home mortgage For the results of Example 3, show the amortization of the next 10 years of the mortgage loan.
Using mathemati cal functions 11-1 11 Using math ematical func tions 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.
11-2 Using math ematical functions 2 . The list o f func tions (on the r ight) appli es to the c urr entl y highligh ted category (on the left). Use and to sw itch between the categor y list and the func tion lis t . 3 . Highlight the name of the func tio n yo u wa nt and pr ess .
Using mathemati cal functions 11-3 Keyboard functions The most frequently used functions are availa ble directly from the keyboard. Many of the keyboard functions also accept complex numbers as arguments. ,, , Ad d, Subtract, Multiply, Di vide. Also ac cepts complex numbers, lists and matrices.
11-4 Using math ematical functions 10 x Exponential (antilogarithm). Also accepts complex numbers. 10^ val u e Example 10^3 r eturns 1000 Common logarithm. Also accepts co mplex numbers. LOG ( val ue ) Example LOG(100) r eturns 2 ,, Sine, cosine, tangent.
Using mathemati cal functions 11-5 ATAN Arc tangent: tan –1 x . Output range is from –90° to 90°, 2 π /2 to π /2, or –100 to 100 grad s. Inputs and outputs depend on the current an gle format . Also acce pts complex numbers. ATAN ( valu e ) Example ATAN(1) re t u rn s 45 (D egr ees mode) .
11-6 Using math ematical functions Takes the n th root of x . ro ot NTHROOT va lu e Example 3 NTHROOT 8 r eturns 2 Calculus functions The symbols for differentiation and integration are available directly form the k eyboard— and S respectively—as well as from the MATH menu.
Using mathemati cal functions 11-7 TAYLOR Calculates the n th order Taylor polynomial of expression at the point where the given variable = 0. TAYLOR ( e xpre ssion , v ari able , n ) Example TAYLOR(1 + sin(s1) 2 , s1,5) w ith R adians angle measur e and F rac tion n u mber f ormat (s et i n MODE S) r etur ns 1+s1^2-1/3*s1^4 .
11-8 Using math ematical functions Constants The hp 39g+ has an internal numeric repr esentation for these constants. e Natural logarithm base. Internally represented as 2.71828182846. e i Imaginary value for , the complex number (0,1). i MAXREAL Maximum real number.
Using mathemati cal functions 11-9 TANH Hyperbolic tangent. TANH ( valu e ) ALOG Antilogarithm (exponential). Th is is more accurate than 10^x due to limitations of the power function. ALOG ( valu e ) EXP Natural exponential. This is more accurate than due to limitations of the power function.
11-10 Using mathe matical functions RECURSE Provides a method of defini ng a sequence without using the Symbolic view of the Seque nce aplet. I f used with | (“where”), RECURSE will step through the evaluation.
Using mathemati cal functions 11-11 POLYEVAL Polynomial evaluation. Evaluates a polynomial with the specified coefficients for the value of x . POLYEVAL([ coeff ici ents ] , va l u e ) Example Fo r x 4 +2x 3 –25x 2 –26x+120 : POLYEVAL([1,2,-25,-26,120], 8) re t u r n s 3432 .
11-12 Using mathe matical functions Probability functions COMB Number of combination s (without regard to order) of n things taken r at a time: n!/(r!(n-r)) . COMB (n, r) Example COMB(5,2) r eturns 10 . T h at is, ther e are te n differ ent wa ys that fi ve things can be comb ined two at a time .
Using mathemati cal functions 11-13 UTPF Upper-Tail Snedecor’s F Probability given numerator degrees of freedom and denominator degre es of freedom (of the F distribution), evaluated at value . Returns the probability that a Snedecor 's F random variable is greater than value.
11-14 Using mathe matical functions FNROOT Function root-finder (lik e the Solve aplet). Finds the value for the given variable at which expression most nearly evaluates to zero. Uses guess as initial estimate. FNROOT ( e x pr essi on , var iable , guess ) Example FNROOT(M*9.
Using mathemati cal functions 11-15 MAX Maximum. The greater of two values. MAX ( val u e 1 , val u e2 ) Example MAX(210,25) r eturns 210 MIN Minimum. The lesser of two values. MIN ( val u e 1 , val u e2 ) Example MIN(210,25) re t u r n s 25 MOD Modulo.
11-16 Using mathe matical functions ROUND Rounds value to decimal places . Accepts complex numbers. ROUND ( val ue , places ) Round can also round to a number of significant digits as showed in example 2. Examples ROUND(7.8676,2) r eturns 7.68 ROUND (0.
Using mathemati cal functions 11-17 Symbolic functions The symbolic functions are used for symbolic manipulations of expression s. The variables can be formal or numeric, but the re sult is usually in symbolic form (not a number).
11-18 Using mathe matical functions QUOTE Encloses an expression that should not be evaluated numerically. QUOTE( exp re s s io n ) Examples QUOTE(SIN(45)) F1(X) stor es t he e xpre ssion S IN(4 5) r a ther than t he value of SIN( 45 ) . Another meth od is to enclo se the e xpr ession in single quotes.
Using mathemati cal functions 11-19 ≥ Greater than or equal to. Returns 1 if true, 0 if false. va l ue 1 ≥ va l u e 2 AND Compares value1 and value2 . Returns 1 if they are both non-zero, otherwise returns 0. va l ue 1 AND va l u e 2 IFTE If expression is true, do the trueclause ; if not, do the falseclause.
11-20 Using mathe matical functions SEC Secant: 1/cos x . SEC ( val ue ) Symbolic calculations 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.
Using mathemati cal functions 11-21 Symbolic calculations in the Function aplet You can perform symbolic operations i n the Function aplet’s Symbolic view. For example, to find the derivative 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.
11-22 Using mathe matical functions 3 . Sho w the r esult . To find derivatives in the Function aplet’s Symbolic view To find the derivative of the fu nction in the Function aplet’s Symbolic view, you define two functions and define the second function as a derivati ve of the first function.
Using mathemati cal functions 11-23 To find the indefinite integral using formal variables F or ex ample, to f ind t he ind ef inite i ntegral of use: 1. Enter the func tion . 0 S1 3 X 5 X 2 . Sho w the r esult for mat. 3 . Press to close the sho w w indow .
11-24 Using mathe matical functions The ‘extra’ constant of 6.4 results from the substitution of into ( x –2 ) 5 /5 , and should be disregarded if an indefinite integral is required.
Variables an d memory manage ment 12-1 12 V ar iables and memor y manag ement Introduction The hp 39g+ has approximately 232K of user memory. The calculator uses this memory to store variables, perform computations, and store history. A v a r i a b l e i s a n o b j e c t t h a t y o u c r e a t e i n m e m o r y t o h o l d data.
12-2 Variables and memory managemen t Storing and recalling variables You can store numbers or expressi ons from a previous input or result into variables. Numeric Precision A number stored in a variable is always stored as a 12- digit mantissa with a 3-digit exponent.
Variables an d memory manage ment 12-3 5 . Enter a name f or the v ar iable . A 6. P re s s to st or e the r esult . The results of a calculation can also be stored directly to a variable. For example: 2 5 3 B To recall a value To recall a variable’s value, type the name of the variable and press .
12-4 Variables and memory managemen t The VARS menu You use the VARS menu to access all variables in the calculator. The VARS menu is organi sed by category. For each variable category in the left column, there is a list of variables in the right colu mn.
Variables an d memory manage ment 12-5 5 . Choos e whether t o place the var iable name or the v ari able v alue on the command line . – Pr ess to indicate that y ou want the v ari able ’s c ontents t o appear on the command line . – Pr ess to indicate that y ou want the v ari able ’s name to appear on the command line .
12-6 Variables and memory managemen t 4. Enter data for L2 . 55 48 86 90 77 5. P re s s to access HO ME . 6 . Open the v ar iable men u and selec t L1. 7 . Cop y it to the c ommand line . Note: Because the option is hi ghlighted , the var iable ’s name , r ather than its contents , is copied to the command line .
Variables an d memory manage ment 12-7 Home variables It is not possible to store data of one type in a variable of another type. For example, yo u use the Matrix catalog to create matrices. You can crea te up to ten matrices, and you can store these in variables M0 to M9.
12-8 Variables and memory managemen t Aplet variables Aplet variables store values that are unique t o a particular aplet. These include s ymbolic expressions and equations (see below), settings for the Plot and Numeric views, and the results of some calculations such as roots and intersections.
Variables an d memory manage ment 12-9 6 . T o copy the v alue of the v ar iable in to the edit line , pres s and pr ess . Memory Manager You can use the Memory Manager to determine the amount of available memory on the calculator. You can also use Memory Manager to organize memory.
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Matrices 13-1 13 M atrices Introduction You can perform matrix calc ulation s in HOME and in programs. The matrix and each row of a matr ix appear in brackets, and the elements and rows are separated by commas.
13-2 Matr ices Creating and storing matrices You can create, edit, delete, send, and receiv e matrices in the Matrix catalog. To open the Matrix catalog, press MATRIX .
Matrices 13-3 To create a ma trix in the Matrix Catalog 1. Press MA TRIX to open the Matr i x Catalog . The Matri x catalog lists the 10 av ailable matri x var iables, M0 to M9 . 2 . Highli ght the matr i x var iable name y ou want to use and pres s .
13-4 Matr ices A matrix is listed with two dimensions, even if it is 3×1. A vector is listed with the number of elements, such as 3. To transmit a matrix You can send matrices between calculato rs just as you can send aplets, programs, lists, and notes.
Matrices 13-5 To display a matrix • In the Matri x catalog ( MATRIX ) , highlight the matri x name and pr ess . • In HOME , ent er the name of the matr ix v ar iable and pr ess . To display one element In HOME, enter matrixname ( row,column ). For example, if M2 is [[3,4],[5,6]] , then M2(1,2) returns 4 .
13-6 Matr ices 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 M 512 M5 . An attempt to store an element to a row or column beyond the size of the matrix results in an error message.
Matrices 13-7 3 . Add the matr ices that yo u cr e a t e d . M1 M2 To multiply and divide by a scalar 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.
13-8 Matr ices To divide the two matrices M1 and M2 that you created for the previous example, press the following keys: M1 M2 To invert a matrix You can invert a square matrix in HOME by typing the matrix (or its variable name) and pressing x –1 . Or you can use the matri x INVERSE command.
Matrices 13-9 4. Create a ne w matri x. Sele ct Real matrix 5 . Enter the equati on coeff ic ients. 23 4 11 1 4 12 In this e x ample , the matri x you c reat ed is listed as M2 . 6 . Retur n to HOME and e nter the calc ulation to left-multipl y the constants v ector b y the in ve rse o f the coeff ic ien ts matr i x .
13-10 Matr ices • F unction s al wa ys pr oduce and displa y a re sult. T he y do not c hange any st or ed var iables , such as a matri x va ria b le. • F unctions ha v e ar guments that ar e enc losed in pare ntheses and separ ated by commas; f or e xample , CROSS ( vect or 1 , ve c to r 2 ) .
Matrices 13-11 DET Determinant of a square matrix . DET ( matr ix ) DOT Dot Product of two arrays, matrix1 matrix2 . DOT ( matr ix1, matr i x2 ) EIGENVAL Displays the eigenvalue s in vector form for matrix . EIGENVAL ( matr ix ) EIGENVV Eigenvectors and Eige nvalues for a squa re matrix .
13-12 Matr ices calculation for each element substitutes the current row number for I and the current column number for J. MAKEMAT ( ex p re s s i o n , rows , columns ) Example MAKEMAT(0,3,3) r eturns a 3×3 z er o matri x, [[0,0,0],[0,0,0],[0,0,0]] .
Matrices 13-13 SVD Singular Value Decomp osition. Factors an m × n matrix into two matrices and a vector: {[[ m × m square orthogonal ]],[[ n × n square orthogonal ]], [ real ]}. SVD ( matr ix ) SVL Singular Values. Returns a vector containing the singular values of matrix.
13-14 Matr ices Reduced-Row Echelon Form The following set of equations can be written as the augmented matrix which can then stored as a real matrix in any matrix variable. M1 is used in this example. You can use the RREF function to change this to reduced row echelon form, storing it in any matrix variable.
Lists 14-1 14 L ists You can do list operations in HOME and in programs. A list consists of comma-separated real or complex numbers, expressions, or matr ices, all enclosed in braces . A list may, for example, contain a sequence o f real numbers such as {1,2,3} .
14-2 Lists 3 . E nter th e val ues you want in t he li st, pressi ng after each one. V alue s can be r eal or comple x numbers (o r an expr ession) . If you enter a calc ulation , it is e valuated and the r esult is inserted in the list . 4. When done , pr ess LIST to se e the List catalog, or pr ess t o re turn to HO ME .
Lists 14-3 List edit keys When you press to create or change a list, the following keys are available to you: Create a list in HOME 1. Enter th e list on t he edit l ine . Start and end the list w ith br aces (the shifted and ke y s) and separ ate each element with a comma.
14-4 Lists Displaying and editing lists To display a list • In the L ist catalog, hi ghlight the list name and pr ess . • In HOME , ente r the name of the list and pr ess . To display one element In H OME, enter listname ( element# ). For example, if L2 is {3,4,5,6}, then L2(2) returns 4 .
Lists 14-5 To insert an element in a list 1. Open the List catalog. LIST . 2. P r e s s or to highli ght the name of the list y ou wan t to edit (L1, etc .) and pre ss to displa y the list conten ts. New elements ar e inser ted abov e the highlighted positi on .
14-6 Lists Deleting lists To delete a list In the List catalog, highli ght the list name and press . You are prompted to confirm that you want to delete the contents of the highlighted list variable. Press to delete the contents. To delete all lists In the List catalog, press CLEA R .
Lists 14-7 • If Dec i mal Mark in Mode s is set to Comma , use peri ods to separa te ar guments. F or e xample , CONCAT(L1.L2) . Common operators like +, –, ×, and / c an take lists as arguments. I f there ar e two ar guments and both ar e lists, then the lists must have the same length, since the calculation pairs the elements .
14-8 Lists MAKELIST Calculates a sequence of elements for a new list. Evaluates expression with variable from begin to end values, taken at increment steps. MAKELIST( expression , va ria b l e , be gin , end , incr ement ) The MAKELIST function generates a series by automatically producing a list from the repeated evaluation of an expression.
Lists 14-9 SIZE Calculates the number of elements in a list. SIZE( list ) Also works with matrices. Σ LIST Calculates the sum of all elements in list. Σ LIST( list ) Example Σ LIST({2,3,4}) ret u r n s 9 . SORT Sorts ele ments in a scending orde r.
14-10 Lists 2 . In HOME , stor e L1 into C1. Y o u w ill then be able to see the list dat a in the Numer ic v ie w of the S tatisti cs apl et. L1 C1 3 . Start the Statis tic s aplet , and selec t 1-var ia ble mode (pr ess , if necessary , to display ).
Notes and sketches 15-1 15 Notes and sk etc h es Introduction The hp 39g+ has text and picture editors for entering notes and sketc hes. • E ach aplet has its o wn independent Note v ie w and Sk etc h vi e w . Not es and sk etc hes that y ou c r eate in these vi e ws ar e assoc iated w ith t he aplet.
15-2 Notes and sketches Note edit keys Key M e a n i n g Space key for text entry. Displays next page of a multi- page note. Alpha-lock for letter entry. Lower-case alpha-loc k for letter entry. Backspaces cursor and deletes character. Deletes current character.
Notes and sketches 15-3 Aplet sketch view You can attach pictures to an aplet in its Sketch view ( SKETC H ). Y our wor k is aut omaticall y sav ed w ith the aplet . Press an y other vi ew k e y or to e xit the Sk etch v ie w Sketch keys To dr aw a li ne 1.
15-4 Notes and sketches To draw a box 1. In Sk etc h v ie w , pr ess and mov e the cur sor to wher e you w ant any corner of the bo x to be. 2. P r e s s . 3 . Mov e the cu rsor to mar k the opposite corner fo r the bo x . Y ou can adj ust the si z e of the bo x b y mo ving the cu rs o r .
Notes and sketches 15-5 To label parts of a sketch 1. Pres s and type the te xt on the edit line . T o lock the Alpha shift on , pre ss (for upper case) or (for lo w er case). T o mak e the label a smaller c har act er si z e , turn o f f befo r e pres sing .
15-6 Notes and sketches To import a graphics variable You can copy the contents of a graphics v ariable into the Sketch view of an aplet. 1. Open the Sketch v iew o f th e aplet ( SKETCH ). T he graphi c w ill be copied her e. 2 . Press , . 3 . Highlight Graphic , then pr ess and highligh t the name of the v ari able ( G1 , etc.
Notes and sketches 15-7 4. W rite y our note . See “Note e dit k ey s ” on page 15- 2 fo r mor e infor mation on the entry and editing of notes. 5 . When you ar e finished, press or an aplet ke y to e xit Notepad . Y our wor k is automati cally s av ed.
15-8 Notes and sketches To import a note You can impo rt a note from the Notepad i nto an aplet’s Note view, and vice versa. Supp ose you want to copy a note named “Assignments” fr om the Notepad into the Function Note view: 1. In the Func tion aplet , displa y the Note v iew ( NOTE ).
Programming 16-1 16 Pr ogramming Introduction This chapter describes how to pro gram using the hp 39g+. In this chapter you’ll learn about: • using the Pr ogram catalog to c r eate and edit pr ogr ams • pr ogr amming commands • stor ing and retr ie v ing v ari ables in pr ograms • pr ogr amming var iables.
16-2 Programming Example RUN GETVALUE: RUN CALCULATE: RUN " SHOW ANSWER " : This program is separated into three main tasks, each an individual program. Within each progr am, the task can be simple—or it can be di vided further into other programs that perform smaller tasks.
Programming 16-3 Program catalog k eys The program catalog keys are: Key M e a n i n g 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+ or to a disk drive.
16-4 Programming Creating and editing programs Create a new program 1. Pr ess PROGRM to open the Pr ogr am catalog . 2. P r e s s . The hp 3 9 g+ prompts yo u f or a n a m e.
Programming 16-5 2 . On the left , us e or to hi ghlight a command category , then pres s to access the commands in the category . Select the command that y ou w ant . 3 . Pres s to paste the command into the pr ogr am editor . Edit a program 1. Pres s PROGRM to open the Pr ogram catalog.
16-6 Programming Editing keys The editing keys are: Key M e a n i n g Inserts the character at the editing point. Inserts space into text. Display s previous page of th e program. Displays next page of the program. Moves up or down one line. Moves right or left one character.
Programming 16-7 Using programs Run a program From HOME, type RUN program_name. or From the Program catalog, highlight the program you want to run and press Regardless of where you star t the program, all programs run in HOME. What you see will differ slightly depending on where you started the program.
16-8 Programming Copy a program You can use the following procedure if you want to make a copy of y our work before editing—or if you want to use one program as a template for another. 1. Pr ess PROGRM to open the Pr ogr am catalog . 2. P r e s s . 3 .
Programming 16-9 Delete a program To delete a program: 1. Press PRO GRM to open the Pr ogram catalog . 2 . Highli ght a pr ogram to de lete , then pr ess . Delete all programs You can delete all programs at once. 1. In the Progr am catalog , pr ess CLEAR .
16-10 Programming 4. D ev elop a progr am that uses the SE T VIEW S command to modify the aplet’s VIEW S menu . The menu opti ons pr o v ide links to ass oc iated pr ogr ams. Y ou can spec i fy an y other pr ograms that y ou want transfer r ed with the aplet.
Programming 16-11 Save the aplet 1. Open the F uncti on aplet and sa ve it as “EXP ERIMENT ” . The ne w aple t appears in the A plet library . Select Function EXP ERIMENT 2 .
16-12 Programming 6 . Open the Pr ogram cat alog and cr eate a pr ogr am named “EXP .S V” . Inc lude the follo wing code in the pr ogr am. E a c h entry line after the command SETVIEW S is a tri o.
Programming 16-13 ’ ’ ’ ’ ;’ ’ EXP.ANG’ ’ ;0; The pr o gr am EXP .ANG is a sma ll ro utine that is called by other pr ogr ams that the aplet u ses . This e ntry spec ifi es that the pr ogr am EXP.ANG is tr ansferr ed when the aplet is tr ansfer r ed , but the space in the fi rst q uotes en sur es that no entry appears on the menu .
16-14 Programming Aplet commands CHECK Checks (selects) the correspon ding function in the current aplet. For example, Check 3 would check F3 if the current aplet is Function. T hen a checkmar k would appear next to F3 in Symbolic view, F3 would be plotted in Plot view, and evaluated in Numeric view.
Programming 16-15 options u se , or the pr ogram that def ines the aplet’s VIEW S menu . • Y ou can inclu de a “Start ” optio n in the VIEW S menu to spec if y a pr ogr am that y ou w ant to r un auto maticall y when the aplet s tarts. This pr ogram typically sets up the aplet’ s initial configur ation .
16-16 Programming ProgramName ProgramName is the name of the program that runs when the corresponding menu entry is selected. All pr ograms that are identified in the aplet’s SETV IEWS command are transferred when the aplet is transmitted. ViewNumber V iewNumber is the number of a view to start after the program finishes runn ing.
Programming 16-17 View numbers The Function aplet views are numbered as follows: UNCHECK Unchecks (unselects) the co rresponding function in the current aplet.
16-18 Programming IF... THEN... ELSE... END Executes the true-claus e sequence of commands if the test- clause is true, or the false-clause se quence of commands if the test-clause is false.
Programming 16-19 RUN Runs the named program. If your program name contains special characters, such as a space, then you must enclose the fi le name in double quotes (" "). RUN " pr ogram name " : or RUN pr ogr amname : STOP Stops the current program.
16-20 Programming ERASE Clears the display ERASE: FREEZE Halts the program, freezing the current display. Execution resumes when any key is pressed. LINE Draws a line from (x1, y1) to ( x2, y2 ) . LINE x1; y1; x2 ; y2: PIXOFF Turns off the pixel at the specified coordinates (x,y) .
Programming 16-21 → DISPLAY Displays graphic from graphicname in the display. → DISPLAY gr aphi cname : → GROB Creates a graphic from expres sion , using font_size , and stores the resulting graphic in graphicname .
16-22 Programming → PLOT Puts graph from graphicname into the Plot view display. → PLOT gr aphicname : REPLACE Replaces portion of graphic in graphicname1 with graphicname2 , s tarting at position .
Programming 16-23 WHILE… REPEAT… END While ... Repeat ... End is a loop command that repeatedly evaluates test-clause and executes loop-clause sequence if the test is true. Because the test-clause is executed before the loop-clause, the lo op-clause is not executed if the test is initially false.
16-24 Programming DELCOL Delete Column. Deletes the specified column from the specified matrix . DELCOL name ; c olumn_number : DELROW Delete Row. Deletes the spe cified row from the specified matrix. DELROW nam e ; row _ n u m b e r : EDITMAT Starts the Matrix Editor and displays the specified matrix.
Programming 16-25 SUB Extracts a sub-object— a portion of a list, matrix, or graphic fro m 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 ), fo r graphics.
16-26 Programming CHOOSE Creates a choose box, which is a box co ntaining a list of options from which the user chooses one. Each option i s numbered, 1 through n . The result of the choose command is to store the number of the option chosen in a variable.
Programming 16-27 Examples 5.152000 X DAT E( sets the date to Ma y 15, 2000) . 10.1500 X TIME (sets the time t o 10:15 am) . EDITMAT Matrix Editor. Opens the Matrix editor fo r the specified matrix. Returns to the program when user presses EDITMAT matr i xname : The EDITMAT command can also be used to create matrices.
16-28 Programming Example INPUT R; "Circular Area"; "Radius"; "Enter Number";1: MSGBOX Displays a message box containing textitem. A text item consists of any number of e xpressions and quoted strings of text. The expressions are evaluated and turned into strings of text.
Programming 16-29 Stat-One commands DO1VSTATS Calculat es STAT S using datasetname and stores the results in the corresp onding variables: N Σ , Tot Σ , Mean Σ , PVar Σ , SVar Σ , PSDev, SSDev, Mi n Σ , Q1, Median , Q3, and Max Σ . Datasetname can be H1 , H2, .
16-30 Programming Storing and retrieving variables in programs The hp 39g+ has both Home variables and Aplet variables. Home va riables are used for real numbers, complex numbers, graphics, lists, and matrices. Home variables keep the s ame valu es in HOME and in aplets.
Programming 16-31 Coord Function Parametric Polar Sequence Solve Statistics Turns the coordinate-display mode in Plot view on or off. From Plot view, use the Menu mean key to toggle coordinate display on a n off. In a program, type 1 X Coord —to tur n coor din ate displa y on (defa ult).
16-32 Programming Hwidth Statistics Sets the width of histogram bars. From Plot Setup in 1VAR sta ts set a value for Hwidth or In a program, type n X Hwidth Indep All Aplets Defines the value of the inde pendent variable us ed in tracing mode. In a program, type n X Indep InvCross All Aplets Toggles between solid crosshairs or inverted crosshairs.
Programming 16-33 Nmin / Nmax Sequence Defines the minimum and maxi mum independent variable values. Appears as the NRNG fields in the Plot Setup input form. From Plot Setup, enter values for NR NG . or In a program, type X Nmin X Nmax wh e re Recenter All Ap lets Recenters at the crosshairs locations when zooming.
16-34 Programming Simult Function Parametric Polar Sequence Enables you to choose between simultaneous and sequential graphing of all selected expressions. From Plot Setup, check (or uncheck) _ SIMULT or In a program, type 1 X Simult —f or simultaneous gr aphing.
Programming 16-35 Tmin / Tmax Parametric Sets the minimum and maxi mum independent variable values. Appears as the TRNG field in the Plot Setup input form. From Plot Setup, enter values for TR NG . or In a pr ogr am , type X Tmin X Tmax wh e re Tracing All Ap lets Turns the tracing mode on or off in P lot view.
16-36 Programming Xtick All Aplets Sets the distance between ti ck marks for the horizontal axis. From the Plot Setup input form, enter a value for Xtick . or In a program, type n X Xtick whe re Ytick All Aplets Sets the distance between tick marks for the vertical axis.
Programming 16-37 Xzoom All Ap lets Sets the horizontal zoom factor. From Plot-ZOOM-Set Factors, enter the value for XZ OOM . or In a program, type n X XZOOM wh e re Yzoom All Ap lets Sets the vertical zoom factor. From Plot-ZOOM-Set Factors, enter the value for YZ OOM .
16-38 Programming R1...R9, R0 Polar Can contain any expression. In dependent variable is θ . Example '2*SIN(2* θ )' X R1( θ ) U1...U9, U0 Sequence Can contain any expression. In dependent variable is N. Example RECURSE (U,U(N-1)*N,1,2) X U1(N) E1.
Programming 16-39 Numeric-view variables The following aplet variabl es control the Numeric view . The value of the variable appl ies to the current aplet only. C1...C9, C0 Statistics C0 through C9 , for column s of data. Can contain lists. Enter da ta in th e Numeric view or In a program, type LIST X C n wh e re n = 0, 1, 2, 3 .
16-40 Programming 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 X Format or 3 X Format NumCol All Aplets exce pt Statistics aplet Sets the column to be highlighted in Numeric view.
Programming 16-41 NumStep Function Parametric Polar Sequence Sets the step size (increment value) for an independent varia ble in N umeri c view. From Num Setup, enter a value for NU MSTEP . or In a program, type n X NumStep wh e re NumType Function Parametric Polar Sequence Sets the table format.
16-42 Programming Note variables The following aplet variable is available in Note view. NoteText All Aplets Use NoteText to recall text previously entered in Note view. Sketch variables The following aplet variables are availa ble in Sketch view. Page All Aplets Sets a page i n a sketch set.
Extending aplets 17-1 17 Extending aplets Aplets are the application environments where you explore different clas ses of mathematical operations. You can extend the capability of the hp 39g+ in the f.
17-2 Ext ending aple ts 1. Open the Solv e aplet and save it under the n e w name . Solve | T R I A N G L E S 2 . En t er t h e fo u r fo rmu l as : θ O H θ A H θ OA AB C 3 . Deci de whether y ou wan t the aplet to oper ate in Degr ees , R adians , or Gr ads.
Extending aplets 17-3 Using a customized aplet To use the “T riangles” aplet, simply s elect the appropriate formula, change to the Numeric view and solve for the missing variable. Find the length of a ladder leaning against a vertical wall if it forms an angle of 35 o with the horizontal and extends 5 metres up the wall.
17-4 Ext ending aple ts Annotating an aplet with notes The Note view ( NOTE ) attaches a note to the curre nt aplet. See Chapter 15, “Notes and ske tches”. Annotating an aplet with sketches The Sketch view ( SKET CH ) attaches a picture to the current aplet.
Extending aplets 17-5 To transmit an aplet 1. Connect the P C or aplet disk dr iv e to the calculat or b y cable or align the tw o calc ulators ’ infr ar ed ports by mat ching up the tr iangle marks o n the rims o f the calc ulator s. P lace the calculato rs no mor e than 2 inches (5 cm) apar t.
17-6 Ext ending aple ts To sort the aplet list In the aplet library, press . Select the sorting scheme and press . • Chronologically pr od uces a c hr onological order based on the dat e an aplet w as last used . (The last- used aplet ap pears first , a nd so on .
Reference in formation R-1 R Re fer ence inf ormation 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.
R-2 Reference information list A set of values separated by commas (periods if the Decimal Mark mode is set to Comma ) and enclosed in braces. Lists are commonly used to enter statistical data and to evaluate a function with multiple values. Created and manipulate d by the List editor and catalog.
Reference in formation R-3 Resetting the hp 39g+ If the calculator “locks up” and seems to be stuck, you must reset it. This is much like resetting a PC. It cancels certain operations, restores ce rtain conditio ns, and clears temporary memory locations.
R-4 Reference information If the calculator does not turn on If the hp 39g+ does not tu rn on follow the steps below until the calculator turns on. You may find that the calculator turns on before you have completed the procedure. If the calculator still does not turn on, please contact Customer Support for further information.
Reference in formation R-5 To install the main batteries a. Slide up the battery compartment cove r as illustrated. b. Insert 3 new AAA(LR03) batteries into the main compartment. Make sure each battery is inserted in the indicated direction. To install the backup battery a.
R-6 Reference information Variables Home variables The home variables are: Categor y Av ailabl e name Complex Z1 ... Z9 , Z0 Graphic G1 ... G9 , G0 Library Function Parametric Polar Sequence Solve Statistics User-named List L1 ... L9 , L0 Matrix M1 ..
Reference in formation R-7 Function aplet variables The function aplet variables a re: Category Av ailable name Plot Axes Connect Coord FastRes Grid Indep InvCross Labels Recenter Simult Tracing Xcros.
R-8 Reference information Parametric aplet variables The parametric aplet variables are: Categor y Av ailabl e name Plot Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Tmin Tmax Tracing.
Reference in formation R-9 Polar aplet variables The polar aplet variables are: Category Av ailable names Plot Axes Connect Coord Grid Indep InvCross Labels Recenter Simult Umin Umax θ step Tracing X.
R-10 Reference information Sequence aplet variables The sequence aplet variables are: Categor y Av ailabl e name Plot Axes Coord Grid Indep InvCross Labels Nmin Nmax Recenter SeqPlot Simult Tracing Xc.
Reference in formation R-11 Solve aplet variables The solve aplet variables are: Category Av ailable name Plot Axes Connect Coord FastRes Grid Indep InvCross Labels Recenter Tracing Xcross Ycross Xtic.
R-12 Reference information Statistics aplet variables The statistics aplet variables are: Categor y Av ailabl e name Plot Axes Connect Coord Grid Hmin Hmax Hwidth Indep InvCross Labels Recenter S1mark.
Reference in formation R-13 MATH menu categories Math functions The math functions are: Category Av ailable name Calculus TAYLOR Complex ARG CONJ IM RE Constant e i MAXREAL MINREAL π Hype rb.
R-14 Reference information Matrix COLNORM COND CROSS DET DOT EIGENVAL EIGENVV IDENMAT INVERSE LQ LSQ LU MAKEMAT QR RANK ROWNORM RREF SCHUR SIZE SPECNORM SPECRAD SVD SVL TRACE TRN Polynom.
Reference in formation R-15 Program constants The program constants are: Tests < ≤ = = ≠ > ≥ AND IFTE NOT OR XOR Trig ACOT ACSC ASEC COT CSC SEC Category Av ailable nam e (Continued) Category Av ailable name Angle Degrees Grads Radians Format Standard Fixed Sci Eng Fraction SeqPlo t Cobweb Stairstep S1.
R-16 Reference information Program commands The program commands are: Categor y Command Aplet CHECK SELECT SETVIEWS UNCHECK Branch IF THEN ELSE END CASE IFERR RUN STOP Drawing ARC BOX ERASE FREEZE LIN.
Reference in formation R-17 Status messages Message Meaning Bad Argument Type Incorrect input for this operation. Bad Argument Value The value is out of range for this operation. Infinite Result Math exception, such as 1/0. Insufficient Memory You must recover some memory to continue operation.
R-18 Reference information No Equations Checked You must enter and check an equation (Symbolic view) before evaluating this function. (OFF SCREEN) Function value, root, extremum, or intersection is not visible in the current screen. Receive Error Problem with data reception from a nother calculato r.
Limiting Warranty W-1 Li m i t i n g W a rran t y hp 39g+ Graphing Calculator; Warranty period: 12 months 1. HP warr ants to y ou , th e end-user c ustomer , that HP har dw are , accessor ies and su pplies w i ll be fr ee fr om def ects in mater ials and w ork manship after the date of pur chase , for the per iod spec ified abo ve .
W-2 Limiting Warranty 6 . HP MAKE S NO O THER EXPRE S S W ARRANTY OR CONDI T ION WHETHER WR ITTEN OR ORAL. T O THE EXTENT ALL O WED B Y L O CAL LA W , ANY IMP LIED W ARRANTY OR CONDI TION OF MERCHANT .
Limiting Warranty W-3 Service Europe Country : T elephone numbers Au str ia +4 3-1 -3 60 2 7 71203 Belgium + 3 2 - 2 - 712 6 2 19 D e n m a r k + 45 - 8 - 233 28 4 4 Ea s t e r n Eu ro p e countr ies .
W-4 Limiting Warranty P lease logon to http://www .hp .com for t he la test ser vice a n d s u p p o r t in f o r m at i o n . L.Ame ric a Country : T elephone nu mbers Ar gentina 0 -810 -5 5 5-5 5 20.
Limiting Warranty W-5 Regulatory infor mation This section contains information that shows how the hp 39g+ graphing calculator comp lies with regulations in certain regions. Any modificati ons to the calculator not expressly approved by Hewlett-Packard could void the authority to operate the 39g+ in these regions.
W-6 Limiting Warranty Disposal of Waste Equipment by Users in Private Household in the European Union This s ymbol o n the pr oduct or on its pack aging indicates that this produc t m u s t n o t b e d i s p o s e d o f w i t h y o u r o t h e r household wa ste .
Index I-1 Index A absolute value 11-5 add 11-3 algebraic en try 1-19 alpha characters typing 1-6 alphabetical so rting 17-6 angle measure 1-10 in statistics 8-12 setting 1-12 animation 15-5 creating 1.
I-2 Index chronological sorting 17-6 circle dra wing 15-4 clearing aplet 17-3 character s 1-22 display 1-2 2 display history 1-2 5 edit line 1-22 lists 14-6 plot 2-7 cobweb graph 6-1 coeffi cients pol.
Index I-3 definition of 11-6 in Function aplet 11-2 2 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 cleari.
I-4 Index gamma 11-12 intersection point 3-5 math menu R-13 slope 3-5 syntax 11-2 tracing 2-8 Function aplet 2-21 , 3-1 function variables area 16-30 axes 16-30 connect 16-30 fastres 16-3 1 grid 16-31.
Index I-5 I 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.
I-6 Index 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 BREA K 16-23 DO.
Index I-7 variables 13-1 matrix functions 13-10 COLNORM 13-10 COND 13-10 CROSS 13-1 0 DET 13-11 DOT 13-1 1 EIGENVAL 13-11 EIGENVV 13-11 IDENMAT 13-11 INVERSE 13- 11 LQ 13-11 LSQ 13-11 LU 13-11 MAKEMAT.
I-8 Index order of precedence 1-21 overlaying plots 2-16 , 4-3 P π 11-8 paired columns 8-11 parametric variables axes 16-30 connect 16-30 grid 16-31 in menu map R-8 indep 16-32 labels 16-33 recent er.
Index I-9 preced ence 1-22 predicted values statistical 8-20 print contents of display 16-2 5 name and contents of variable 16-25 object in history 16-25 variables 16-25 probability functions ! 11-12 .
I-10 Index intera ctive 3-10 n th 11-6 variable 16 -33 root-finding displaying 7-7 intera ctive 3-9 operat ions 3-10 variables 3-10 S S1mark-S5mark variables 16-33 scaling automatic 2-14 decimal 2-10 .
Index I-11 data structure 16-39 define one-variable sample 16-29 define two-va riable data set’s de- pendent column 16-29 define two-variable data set’s in- dependent column 16 -29 defining a fit .
I-12 Index ACOT 11-19 ACSC 11-19 ASEC 11-1 9 COT 11-1 9 CSC 11-19 SEC 11-20 trng 2-6 truncating values to decimal places 11-16 tstep 2-6 , 16-35 Two-Pr oportion Z- Interva l 9-17 Two-Pr oportion Z- Te.
Een belangrijk punt na aankoop van elk apparaat HP 39g+ (of zelfs voordat je het koopt) is om de handleiding te lezen. Dit moeten wij doen vanwege een paar simpele redenen:
Als u nog geen HP 39g+ heb gekocht dan nu is een goed moment om kennis te maken met de basisgegevens van het product. Eerst kijk dan naar de eerste pagina\'s van de handleiding, die je hierboven vindt. Je moet daar de belangrijkste technische gegevens HP 39g+ vinden. Op dit manier kan je controleren of het apparaat aan jouw behoeften voldoet. Op de volgende pagina's van de handleiding HP 39g+ leer je over alle kenmerken van het product en krijg je informatie over de werking. De informatie die je over HP 39g+ krijgt, zal je zeker helpen om een besluit over de aankoop te nemen.
In een situatie waarin je al een beziter van HP 39g+ bent, maar toch heb je de instructies niet gelezen, moet je het doen voor de hierboven beschreven redenen. Je zult dan weten of je goed de alle beschikbare functies heb gebruikt, en of je fouten heb gemaakt die het leven van de HP 39g+ kunnen verkorten.
Maar de belangrijkste taak van de handleiding is om de gebruiker bij het oplossen van problemen te helpen met HP 39g+ . Bijna altijd, zal je daar het vinden Troubleshooting met de meest voorkomende storingen en defecten #MANUAl# samen met de instructies over hun opplosinge. Zelfs als je zelf niet kan om het probleem op te lossen, zal de instructie je de weg wijzen naar verdere andere procedure, bijv. door contact met de klantenservice of het dichtstbijzijnde servicecentrum.
