Hp 39g+ Manuel d'utilisateur

hp 39g+ graphing calculator user’s guide H Edition 2 Part Number F2224-90001

P-2 PrefaceNoticeThis manual and any examples contained herein are provided as-is and are subject to change without notice. Except to the extent proh

8-6 Statistics apletEntering and editing statistical dataThe Numeric view ( ) is used to enter data into the Statistics aplet. Each column represents

Statistics aplet 8-7Example You are measuring the height of students in a classroom to find the mean height. The first five students have the followin

8-8 Statistics aplet3. Find the mean of the sample. Ensure the / menu key label reads . Press to see the statistics calculated from the sample data

Statistics aplet 8-9To continue our example, suppose that the heights of the rest of the students in the class are measured, but each one is rounded t

8-10 Statistics aplet5. Move the highlight bar into the right column of the H1 definition and replace the frequency value of 1 with the name C2. 26.

Statistics aplet 8-11Edit a data set In the Numeric view of the Statistics aplet, highlight the data value to change. Type a new value and press , or

8-12 Statistics apletDefining a regression model The Symbolic view includes an expression (Fit1 through Fit5) that defines the regression model, or “f

Statistics aplet 8-13To define your own fit1. In Numeric view, make sure is set.2. Display the Symbolic view. 3. Highlight the Fit expression (Fit1,

8-14 Statistics apletWhen 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 tab

Statistics aplet 8-15Plotting You can plot:• histograms ( )• box-and-whisker plots ( )• scatter plots ( ).Once you have entered your data ( ), defined

Getting started 1-11Getting startedOn/off, cancel operationsTo turn on Press to turn on the calculator.To cancel When the calculator is on, the ke

8-16 Statistics aplet3. For any plot, but especially for a histogram, adjust the plotting scale and range in the Plot Setup view. If you find histogra

Statistics aplet 8-17To connect the data points as they are plotted, checkmark CONNECT in the second page of the Plot Setup. This is not a regression

8-18 Statistics apletHINTIn order to access the CORR and RELERR variables after you plot a set of statistics, you must press to access the numeric v

Statistics aplet 8-19• The correct or menu label on (Numeric view).• The correct fit (regression model), if the data set is two-variable. • Only t

8-20 Statistics apletCalculating predicted valuesThe functions PREDX and PREDY estimate (predict) values for X or Y given a hypothetical value for the

Statistics aplet 8-21You can type PREDX and PREDY into the edit line, or you can copy these function names from the MATH menu under the Stat-Two categ

Inference aplet 9-19Inference apletAbout the Inference apletThe Inference capabilities include calculation of confidence intervals and hypothesis test

9-2 Inference apletInference aplet’s SYMB view keysThe table below summarizes the options available in Symbolic view.If you choose one of the hypothes

Inference aplet 9-3Select the inferential method2. Select the Hypothesis Test inferential method.Select HYPOTH TEST3. Define the type of test. Z–Test

1-2 Getting startedThe displayTo adjust the contrastSimultaneously press and (or ) to increase (or decrease) the contrast.To clear the display •

9-4 Inference apletBy default, each field already contains a value. These values constitute the example database and are explained in the feature of

Inference aplet 9-5A calculator produces the following 6 random numbers:0.529, 0.295, 0.952, 0.259, 0.925, and 0.592Open the Statistics aplet1. Open t

9-6 Inference apletOpen Inference aplet6. Open the Inference aplet and clear current settings. Select Inference Select inference method and type7. Sel

Inference aplet 9-7Import the data 10.Import the data from the Statistics aplet. Note: The data from C1 is displayed by default.Note: Press to see t

9-8 Inference apletHypothesis testsYou use hypothesis tests to test the validity of hypotheses that relate to the statistical parameters of one or two

Inference aplet 9-9Results The results are:Two-Sample Z-TestMenu name Z-Test: µ1–µ2On the basis of two samples, each from a separate population, this

9-10 Inference apletResults The results are:One-Proportion Z-TestMenu name Z-Test: 1πOn the basis of statistics from a single sample, this test measur

Inference aplet 9-11Inputs The inputs are:Results The results are:Two-Proportion Z-TestMenu name Z-Test: π1 – π2On the basis of statistics from two sa

9-12 Inference apletInputs The inputs are:Results The results are:One-Sample T-TestMenu name T-Test: 1 µThe One-sample T-Test is used when the populat

Inference aplet 9-13Inputs The inputs are:Results The results are:Field name DefinitionSample mean.Sx Sample standard deviation.n Sample size.µ0 Hypot

Getting started 1-3Annunciators. Annunciators are symbols that appear above the title bar and give you important status information.The keyboardMenu k

9-14 Inference apletTwo-Sample T-TestMenu name T-Test: µ1 – µ2The Two-sample T-Test is used when the population standard deviation is not known. On th

Inference aplet 9-15Results The results are:Confidence intervalsThe confidence interval calculations that the hp 39g+ can perform are based on the Nor

9-16 Inference apletResults The results are:Two-Sample Z-IntervalMenu name Z-INT: µ1– µ2This option uses the Normal Z-distribution to calculate a conf

Inference aplet 9-17One-Proportion Z-IntervalMenu name Z-INT: 1 πThis option uses the Normal Z-distribution to calculate a confidence interval for the

9-18 Inference apletResults The results are:One-Sample T-IntervalMenu name T-INT: 1 µThis option uses the Student’s t-distribution to calculate a conf

Inference aplet 9-19Results The results are:Two-Sample T-IntervalMenu name T-INT: µ1 – µ2This option uses the Student’s t-distribution to calculate a

9-20 Inference apletResults The results are:Result Description Critical T Critical value for T. µ MinLower bound for µ1 – µ2. µ MaxUpper bound for µ1

Using the Finance Solver 10-110Using the Finance SolverThe Finance Solver, or Finance aplet, is available by using the APLET key in your calculator.

10-2 Using the Finance SolverFinancial calculations involving compound interest include savings accounts, mortgages, pension funds, leases, and annuit

Using the Finance Solver 10-3modes: Begin mode and End mode. The following cash flow diagram shows lease payments at the beginning of each period.T

1-4 Getting started• On the calculator keyboard, the top row of keys are called menu keys. Their meanings depend on the context—that’s why their tops

10-4 Using the Finance SolverPerforming TVM calculations1. Launch the Financial Solver as indicated at the beginning of this section.2. Use the arrow

Using the Finance Solver 10-5Example 1 - Loan calculationsSuppose you finance the purchase of a car with a 5-year loan at 5.5% annual interest, compou

10-6 Using the Finance SolverExample 2 - Mortgage with balloon paymentSuppose you have taken out a 30-year, $150,000 house mortgage at 6.5% annual int

Using the Finance Solver 10-7Calculating AmortizationsAmortization calculations, which also use the TVM variables, determine the amounts applied towar

10-8 Using the Finance Solver3. Press the soft menu key to amortize the new batch of payments. Repeat steps 1 through 3 as often as needed.Example

Using mathematical functions 11-111Using mathematical functionsMath functionsThe hp 39g+ contains many math functions. The functions are grouped in ca

11-2 Using mathematical functions2. The list of functions (on the right) applies to the currently highlighted category (on the left). Use and to s

Using mathematical functions 11-3Keyboard functions The most frequently used functions are available directly from the keyboard. Many of the keyboard

11-4 Using mathematical functions10xExponential (antilogarithm). Also accepts complex numbers.10^valueExample10^3 returns 1000Common logarithm. Also a

Using mathematical functions 11-5ATAN Arc tangent: tan–1x. Output range is from –90° to 90°, 2π/2 to π/2, or –100 to 100 grads. Inputs and outputs dep

Getting started 1-5Entry/Edit keysThe entry and edit keys are:Key Meaning (CANCEL)Cancels the current operation if the calculator is on by pressing .

11-6 Using mathematical functions Takes the nth root of x.root NTHROOT valueExample3 NTHROOT 8 returns 2 Calculus functionsThe symbols for differentia

Using mathematical functions 11-7TAYLOR Calculates the nth order Taylor polynomial of expression at the point where the given variable = 0.TAYLOR (exp

11-8 Using mathematical functionsConstantsThe hp 39g+ has an internal numeric representation for these constants.e Natural logarithm base. Internally

Using mathematical functions 11-9TANH Hyperbolic tangent.TANH(value)ALOG Antilogarithm (exponential). This is more accurate than 10^x due to limitatio

11-10 Using mathematical functionsRECURSE Provides a method of defining a sequence without using the Symbolic view of the Sequence aplet. If used with

Using mathematical functions 11-11POLYEVAL Polynomial evaluation. Evaluates a polynomial with the specified coefficients for the value of x.POLYEVAL([

11-12 Using mathematical functionsProbability functionsCOMB Number of combinations (without regard to order) of n things taken r at a time: n!/(r!(n-r

Using mathematical functions 11-13UTPF Upper-Tail Snedecor’s F Probability given numerator degrees of freedom and denominator degrees of freedom (of t

11-14 Using mathematical functionsFNROOT Function root-finder (like the Solve aplet). Finds the value for the given variable at which expression most

Using mathematical functions 11-15MAX Maximum. The greater of two values.MAX(value1, value2)ExampleMAX(210,25) returns 210MIN Minimum. The lesser of t

1-6 Getting startedShifted keystrokesThere are two shift keys that you use to access the operations and characters printed above the keys: and . CHAR

11-16 Using mathematical functionsROUND Rounds value to decimal places. Accepts complex numbers.ROUND(value, places)Round can also round to a number o

Using mathematical functions 11-17Symbolic functionsThe symbolic functions are used for symbolic manipulations of expressions. The variables can be fo

11-18 Using mathematical functionsQUOTE Encloses an expression that should not be evaluated numerically.QUOTE(expression)ExamplesQUOTE(SIN(45)) F1(X)

Using mathematical functions 11-19≥ Greater than or equal to. Returns 1 if true, 0 if false.value1≥value2AND Compares value1 and value2. Returns 1 if

11-20 Using mathematical functionsSEC Secant: 1/cosx.SEC(value)Symbolic calculationsThe hp 39g+ has the ability to perform symbolic calculations, for

Using mathematical functions 11-21Symbolic calculations in the Function apletYou can perform symbolic operations in the Function aplet’s Symbolic view

11-22 Using mathematical functions3. Show the result. To find derivatives in the Function aplet’s Symbolic viewTo find the derivative of the function

Using mathematical functions 11-23To find the indefinite integral using formal variablesFor example, to find the indefinite integral of use:1. Enter

11-24 Using mathematical functionsThe ‘extra’ constant of 6.4 results from the substitution of into (x –2)5/5, and should be disregarded if an indef

Variables and memory management 12-112Variables and memory managementIntroductionThe hp 39g+ has approximately 232K of user memory. The calculator use

Getting started 1-7HELPWITH The hp 39g+ built-in help is available in HOME only. It provides syntax help for built-in math functions. Access the HELPW

12-2 Variables and memory managementStoring and recalling variablesYou can store numbers or expressions from a previous input or result into variables

Variables and memory management 12-35. Enter a name for the variable. A6. Press to store the result.The results of a calculation can also be stor

12-4 Variables and memory managementThe VARS menuYou use the VARS menu to access all variables in the calculator. The VARS menu is organised by catego

Variables and memory management 12-55. Choose whether to place the variable name or the variable value on the command line.– Press to indicate that

12-6 Variables and memory management4. Enter data for L2.55 48 86 90 77 5. Press to access HOME.6. Open the variable menu and select L1. 7. Copy

Variables and memory management 12-7Home variables It is not possible to store data of one type in a variable of another type. For example, you use th

12-8 Variables and memory managementAplet variables Aplet variables store values that are unique to a particular aplet. These include symbolic express

Variables and memory management 12-96. To copy the value of the variable into the edit line, press and press .Memory Manager You can use the Memory

Matrices 13-113MatricesIntroductionYou can perform matrix calculations in HOME and in programs. The matrix and each row of a matrix appear in brackets

1-8 Getting started• Pressing takes you to the beginning of the MATH menu.See “Math functions by category” on page 11-2 for details of the math func

13-2 MatricesCreating and storing matricesYou can create, edit, delete, send, and receive matrices in the Matrix catalog.To open the Matrix catalog, p

Matrices 13-3To create a matrix in the Matrix Catalog1. Press MATRIX to open the Matrix Catalog. The Matrix catalog lists the 10 available matrix var

13-4 MatricesA 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

Matrices 13-5To display a matrix • In the Matrix catalog ( MATRIX), highlight the matrix name and press .• In HOME, enter the name of the matrix vari

13-6 MatricesTo store one elementIn HOME, enter, value matrixname(row,column).For example, to change the element in the first row and second column o

Matrices 13-73. Add the matrices that you created. M1 M2 To multiply and divide by a scalarFor division by a scalar, enter the matrix first, then

13-8 MatricesTo 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 ca

Matrices 13-94. Create a new matrix. Select Real matrix5. Enter the equation coefficients.234 11 1 4 12In this example, the matrix you created is

13-10 Matrices• Functions always produce and display a result. They do not change any stored variables, such as a matrix variable.• Functions have arg

Matrices 13-11DET Determinant of a square matrix.DET(matrix)DOT Dot Product of two arrays, matrix1 matrix2.DOT(matrix1, matrix2)EIGENVAL Displays the

Getting started 1-9• If there are two columns, the left column shows general categories and the right column shows specific contents within a category

13-12 Matricescalculation for each element substitutes the current row number for I and the current column number for J.MAKEMAT(expression, rows, colu

Matrices 13-13SVD Singular Value Decomposition. Factors an m × n matrix into two matrices and a vector: {[[m × m square orthogonal]],[[n × n square or

13-14 MatricesReduced-Row Echelon FormThe following set of equations can be written as the augmented matrixwhich can then stored as a real matrix i

Lists 14-114ListsYou can do list operations in HOME and in programs. A list consists of comma-separated real or complex numbers, expressions, or matri

14-2 Lists3. 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

Lists 14-3List edit keys When you press to create or change a list, the following keys are available to you:Create a list in HOME1. Enter the list o

14-4 ListsDisplaying and editing listsTo display a list • In the List catalog, highlight the list name and press .• In HOME, enter the name of the lis

Lists 14-5To insert an element in a list1. Open the List catalog.LIST.2. Press or to highlight the name of the list you want to edit (L1, etc.) an

14-6 ListsDeleting listsTo delete a list In the List catalog, highlight the list name and press . You are prompted to confirm that you want to delete

Lists 14-7• If Decimal Mark in Modes is set to Comma, use periods to separate arguments. For example, CONCAT(L1.L2).Common operators like +, –, ×, and

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 W

1-10 Getting startedMode settingsYou use the Modes input form to set the modes for HOME.HINTAlthough the numeric setting in Modes affects only HOME, t

14-8 ListsMAKELIST Calculates a sequence of elements for a new list. Evaluates expression with variable from begin to end values, taken at increment s

Lists 14-9SIZE Calculates the number of elements in a list.SIZE(list)Also works with matrices.ΣLIST Calculates the sum of all elements in list. ΣLIST(

14-10 Lists2. In HOME, store L1 into C1. You will then be able to see the list data in the Numeric view of the Statistics aplet.L1 C13. Start the St

Notes and sketches 15-115Notes and sketchesIntroductionThe hp 39g+ has text and picture editors for entering notes and sketches.• Each aplet has its o

15-2 Notes and sketchesNote edit keysKey Meaning Space key for text entry.Displays next page of a multi-page note. Alpha-lock for letter entry. Lowe

Notes and sketches 15-3Aplet sketch viewYou can attach pictures to an aplet in its Sketch view ( SKETCH). Your work is automatically saved with the ap

15-4 Notes and sketchesTo draw a box 1. In Sketch view, press and move the cursor to where you want any corner of the box to be.2. Press . 3. Move t

Notes and sketches 15-5To label parts of a sketch1. Press and type the text on the edit line. To lock the Alpha shift on, press (for uppercase) or

15-6 Notes and sketchesTo import a graphics variableYou can copy the contents of a graphics variable into the Sketch view of an aplet.1. Open the Sket

Notes and sketches 15-74. Write your note.See “Note edit keys” on page 15-2 for more information on the entry and editing of notes.5. When you are fin

Getting started 1-11Number FormatThe number format mode you set is the number format used in both HOME and the current aplet.Standard. Full-precision

15-8 Notes and sketchesTo 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 n

Programming 16-116Programming IntroductionThis chapter describes how to program using the hp 39g+. In this chapter you’ll learn about:• using the Prog

16-2 ProgrammingExample RUN GETVALUE: RUN CALCULATE: RUN "SHOW ANSWER":This program is separated into three main tasks, each an individual p

Programming 16-3Program catalog keysThe program catalog keys are:Key Meaning Opens the highlighted program for editing.Prompts for a new program name,

16-4 ProgrammingCreating and editing programsCreate a new program1. Press PROGRM to open the Program catalog.2. Press .The hp 39g+ prompts you for a

Programming 16-52. On the left, use or to highlight a command category, then press to access the commands in the category. Select the command th

16-6 ProgrammingEditing keys The editing keys are:Key Meaning Inserts the character at the editing point.Inserts space into text.Displays previous p

Programming 16-7Using programsRun a program From HOME, type RUN program_name.orFrom the Program catalog, highlight the program you want to run and pre

16-8 ProgrammingCopy 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 pr

Programming 16-9Delete a programTo delete a program:1. Press PROGRM to open the Program catalog.2. Highlight a program to delete, then press .Delete

1-12 Getting startedSetting a modeThis example demonstrates how to change the angle measure from the default mode, radians, to degrees for the current

16-10 Programming4. Develop a program that uses the SETVIEWS command to modify the aplet’s VIEWS menu. The menu options provide links to associated pr

Programming 16-11Save the aplet 1. Open the Function aplet and save it as “EXPERIMENT”. The new aplet appears in the Aplet library.Select Function EX

16-12 Programming6. Open the Program catalog and create a program named “EXP.SV”. Include the following code in the program. Each entry line after the

Programming 16-13’’ ’’;’’ EXP.ANG’’;0;The program EXP.ANG is a small routine that is called by other programs that the aplet uses. This entry specifie

16-14 ProgrammingAplet commandsCHECK Checks (selects) the corresponding function in the current aplet. For example, Check 3 would check F3 if the cur

Programming 16-15options use, or the program that defines the aplet’s VIEWS menu. • You can include a “Start” option in the VIEWS menu to specify a pr

16-16 ProgrammingProgramNameProgramName is the name of the program that runs when the corresponding menu entry is selected. All programs that are iden

Programming 16-17View numbersThe Function aplet views are numbered as follows:UNCHECK Unchecks (unselects) the corresponding function in the current a

16-18 ProgrammingIF... THEN... ELSE... ENDExecutes the true-clause sequence of commands if the test-clause is true, or the false-clause sequence of co

Programming 16-19RUN Runs the named program. If your program name contains special characters, such as a space, then you must enclose the file name in

Getting started 1-13• Copied from another calculator.Aplets are stored in the Aplet library. See “Aplet library” on page 1-16 for further information.

16-20 ProgrammingERASE Clears the displayERASE:FREEZE Halts the program, freezing the current display. Execution resumes when any key is pressed.LINE

Programming 16-21→DISPLAY Displays graphic from graphicname in the display.→DISPLAY graphicname:→GROB Creates a graphic from expression, using font_s

16-22 Programming→PLOT Puts graph from graphicname into the Plot view display.→PLOT graphicname:REPLACE Replaces portion of graphic in graphicname1 wi

Programming 16-23WHILE…REPEAT…ENDWhile ... Repeat ... End is a loop command that repeatedly evaluates test-clause and executes loop-clause sequence if

16-24 ProgrammingDELCOL Delete Column. Deletes the specified column from the specified matrix.DELCOL name;column_number:DELROW Delete Row. Deletes the

Programming 16-25SUB Extracts a sub-object—a portion of a list, matrix, or graphic from object—and stores it into name. start and end are each specifi

16-26 ProgrammingCHOOSE Creates a choose box, which is a box containing a list of options from which the user chooses one. Each option is numbered, 1

Programming 16-27Examples5.152000X DATE(sets the date to May 15, 2000).10.1500X TIME (sets the time to 10:15 am).EDITMAT Matrix Editor. Opens the Matr

16-28 ProgrammingExampleINPUT R; "Circular Area"; "Radius"; "Enter Number";1: MSGBOX Displays a message bo

Programming 16-29Stat-One commandsDO1VSTATS Calculates STATS using datasetname and stores the results in the corresponding variables: NΣ, TotΣ, MeanΣ,

1-14 Getting startedA great many more teaching aplets can be found at HP’s web site and other web sites created by educators, together with accompanyi

16-30 ProgrammingStoring and retrieving variables in programsThe hp 39g+ has both Home variables and Aplet variables. Home variables are used for real

Programming 16-31CoordFunctionParametricPolarSequenceSolveStatisticsTurns the coordinate-display mode in Plot view on or off.From Plot view, use the M

16-32 ProgrammingHwidthStatisticsSets the width of histogram bars.From Plot Setup in 1VAR stats set a value for HwidthorIn a program, typen X HwidthIn

Programming 16-33Nmin / NmaxSequenceDefines the minimum and maximum independent variable values. Appears as the NRNG fields in the Plot Setup input fo

16-34 ProgrammingSimultFunctionParametricPolarSequenceEnables you to choose between simultaneous and sequential graphing of all selected expressions.

Programming 16-35Tmin / TmaxParametricSets the minimum and maximum independent variable values. Appears as the TRNG field in the Plot Setup input form

16-36 ProgrammingXtickAll ApletsSets the distance between tick marks for the horizontal axis.From the Plot Setup input form, enter a value for Xtick.o

Programming 16-37XzoomAll ApletsSets the horizontal zoom factor.From Plot-ZOOM-Set Factors, enter the value for XZOOM.orIn a program, typen X XZOOM wh

16-38 ProgrammingR1...R9, R0PolarCan contain any expression. Independent variable is θ.Example'2*SIN(2*θ)' X R1(θ)U1...U9, U0SequenceCan con

Programming 16-39Numeric-view variablesThe following aplet variables control the Numeric view. The value of the variable applies to the current aplet

Getting started 1-15A button is provided to evaluate the student’s knowledge. Pressing displays a target quadratic graph. The student must manipul

16-40 ProgrammingExcept in the Solve aplet, the value of Format takes effect only after the current aplet is saved with a new name. Until then, HForma

Programming 16-41NumStepFunctionParametricPolarSequenceSets the step size (increment value) for an independent variable in Numeric view.From Num Setup

16-42 ProgrammingNote variablesThe following aplet variable is available in Note view. NoteTextAll ApletsUse NoteText to recall text previously entere

Extending aplets 17-117Extending apletsAplets are the application environments where you explore different classes of mathematical operations. You can

17-2 Extending aplets1. Open the Solve aplet and save it under the new name.Solve| T R I A N G L E S 2. Enter the four formulas:θOHθ AHθOAABC3. De

Extending aplets 17-3Using a customized apletTo use the “Triangles” aplet, simply select the appropriate formula, change to the Numeric view and solve

17-4 Extending apletsAnnotating an aplet with notesThe Note view ( NOTE) attaches a note to the current aplet. See Chapter 15, “Notes and sketches”.An

Extending aplets 17-5To transmit an aplet1. Connect the PC or aplet disk drive to the calculator by cableor align the two calculators’ infrared ports

17-6 Extending apletsTo sort the aplet listIn the aplet library, press . Select the sorting scheme and press .• Chronologically produces a chronolog

Reference information R-1RReference informationGlossaryaplet A small application, limited to one topic. The built-in aplet types are Function, Paramet

1-16 Getting startedPressing displays the equation at the top of the screen. The equation is controlled by the graph. Pressing the and keys move

R-2 Reference informationlist A set of values separated by commas (periods if the Decimal Mark mode is set to Comma) and enclosed in braces. Lists are

Reference information R-3Resetting the hp 39g+If the calculator “locks up” and seems to be stuck, you must reset it. This is much like resetting a PC.

R-4 Reference informationIf the calculator does not turn on If the hp 39g+ does not turn on follow the steps below until the calculator turns on. You

Reference information R-5To install the main batteries a. Slide up the battery compartment cover as illustrated.b. Insert 3 new AAA(LR03) batteries in

R-6 Reference informationVariablesHome variablesThe home variables are:Category Available name Complex Z1...Z9, Z0Graphic G1...G9, G0Library FunctionP

Reference information R-7Function aplet variablesThe function aplet variables are:Category Available name Plot AxesConnectCoordFastResGridIndepInvCros

R-8 Reference informationParametric aplet variablesThe parametric aplet variables are:Category Available name Plot AxesConnectCoordGridIndepInvCrossLa

Reference information R-9Polar aplet variablesThe polar aplet variables are:Category Available names Plot AxesConnectCoordGridIndepInvCrossLabelsRecen

R-10 Reference informationSequence aplet variablesThe sequence aplet variables are:Category Available name Plot AxesCoordGridIndepInvCrossLabelsNminNm

Reference information R-11Solve aplet variablesThe solve aplet variables are:Category Available namePlot AxesConnectCoordFastResGridIndepInvCrossLabel

Getting started 1-17Plot view Press to display the aplet’s Plot view.In this view, the functions that you have defined are displayed graphically.See

R-12 Reference informationStatistics aplet variablesThe statistics aplet variables are:Category Available namePlot AxesConnectCoordGridHminHmaxHwidthI

Reference information R-13MATH menu categoriesMath functionsThe math functions are:Category Available name CalculusTAYLORComplex ARGCONJIMREConstant e

R-14 Reference informationMatrix COLNORMCONDCROSSDETDOTEIGENVALEIGENVVIDENMATINVERSELQLSQLUMAKEMATQRRANKROWNORMRREFSCHURSIZESPECNORMSPECRADSVDSVLTRACE

Reference information R-15Program constantsThe program constants are:Tests<≤= =≠>≥ANDIFTENOTORXORTrig ACOTACSCASECCOTCSCSECCategory Available na

R-16 Reference informationProgram commandsThe program commands are:Category Command Aplet CHECKSELECTSETVIEWSUNCHECKBranch IFTHENELSEENDCASEIFERRRUNST

Reference information R-17Status messagesMessage Meaning Bad Argument TypeIncorrect input for this operation.Bad Argument ValueThe value is out of ran

R-18 Reference informationNo Equations CheckedYou must enter and check an equation (Symbolic view) before evaluating this function.(OFF SCREEN) Functi

Limiting Warranty W-1Limiting Warrantyhp 39g+ Graphing Calculator; Warranty period: 12 months 1. HP warrants to you, the end-user customer, that HP ha

W-2 Limiting Warranty6. HP MAKES NO OTHER EXPRESS WARRANTY OR CONDITION WHETHER WRITTEN OR ORAL. TO THE EXTENT ALLOWED BY LOCAL LAW, ANY IMPLIED WARRA

Limiting Warranty W-3ServiceEurope Country : Telephone numbers Austria +43-1-3602771203Belgium +32-2-7126219Denmark +45-8-2332844Eastern Europe countr

1-18 Getting startedOverlay Plot viewThe VIEWS menu contains the Overlay Plot view. Select Overlay Plot Plots the current expression(s) without erasin

W-4 Limiting WarrantyPlease logon to http://www.hp.com for the latest service and support information.L.AmericaCountry : Telephone numbers Argentina 0

Limiting Warranty W-5Regulatory informationThis section contains information that shows how the hp 39g+ graphing calculator complies with regulations

W-6 Limiting WarrantyDisposal of Waste Equipment by Users in Private Household in the European UnionThis symbol on the product or on itspackaging indi

Index I-1IndexAabsolute value 11-5add 11-3algebraic entry 1-19alpha characterstyping 1-6alphabetical sorting 17-6angle measure 1-10in statistics 8-12s

I-2 Indexchronological sorting 17-6circle drawing 15-4clearingaplet 17-3characters 1-22display 1-22display history 1-25edit line 1-22lists 14-6plot 2-

Index I-3definition of 11-6in Function aplet 11-22in Home 11-21determinantsquare matrix 13-11differentiation 11-6display 16-20adjusting contrast 1-2an

I-4 Indexgamma 11-12intersection point 3-5math menu R-13slope 3-5syntax 11-2tracing 2-8Function aplet 2-21, 3-1function variablesarea 16-30axes 16-30c

Index I-5Ii 11-8implied multiplication 1-21importinggraphics 15-6notes 15-8increasing display contrast 1-2indefinite integralusing symbolic variables

I-6 Indexlogarithmicfit 8-13functions 11-3logical operatorsAND 11-19equals (logical test) 11-18greater than 11-18greater than or equal to 11-19IFTE 11

Index I-7variables 13-1matrix functions 13-10COLNORM 13-10COND 13-10CROSS 13-10DET 13-11DOT 13-11EIGENVAL 13-11EIGENVV 13-11IDENMAT 13-11INVERSE 13-11

Getting started 1-19Numeric Setup Press SETUP-NUM. Sets parameters for building a table of numeric values.Symbolic Setup This view is only available

I-8 Indexorder of precedence 1-21overlaying plots 2-16, 4-3Pπ 11-8paired columns 8-11parametric variablesaxes 16-30connect 16-30grid 16-31in menu map

Index I-9precedence 1-22predicted valuesstatistical 8-20printcontents of display 16-25name and contents of variable 16-25object in history 16-25variab

I-10 Indexinteractive 3-10nth 11-6variable 16-33root-findingdisplaying 7-7interactive 3-9operations 3-10variables 3-10SS1mark-S5mark variables 16-33sc

Index I-11data structure 16-39define one-variable sample 16-29define two-variable data set’s de-pendent column 16-29define two-variable data set’s in-

I-12 IndexACOT 11-19ACSC 11-19ASEC 11-19COT 11-19CSC 11-19SEC 11-20trng 2-6truncating values to decimal places 11-16tstep 2-6, 16-35Two-Proportion Z-I

Contents iContentsPrefaceManual conventions ... P-1Notice ...

1-20 Getting started• Press to evaluate the expression you have in the edit line (where the blinking cursor is). An expression can contain numbers,

Getting started 1-21Explicit and implicit multiplicationImplied multiplication takes place when two operands appear with no operator in between. If yo

1-22 Getting startedAlgebraic precedence order of evaluationFunctions within an expression are evaluated in the following order of precedence. Functio

Getting started 1-23When you highlight a previous input or result (by pressing ), the and menu labels appear. To copy a previous lineHighlight the

1-24 Getting startedHINTWhen you retrieve a number from ANS, you obtain the result to its full precision. When you retrieve a number from the HOME’s d

Getting started 1-25Accessing the display historyPressing enables the highlight bar in the display history. While the highlight bar is active, the f

1-26 Getting started2. Select Number Format, press to display the options, and highlight Fraction. 3. Press to select the Number Format option,

Getting started 1-27• Precision set to 1:• Precision set to 2:• Precision set to 3:• Precision set to 4Fraction calculationsWhen entering fractions:•

1-28 Getting started2. Enter the calculation.3234578Note: Ensure you are in the HOME view.3. Evaluate the calculation.Converting decimals to fractions

Getting started 1-29Complex numbersComplex results The hp 39g+ can return a complex number as a result for some math functions. A complex number appea

ii Contents3 Function apletAbout the Function aplet... 3-1Getting started with the Function aple

1-30 Getting startedCatalogs and editorsThe hp 39g+ has several catalogs and editors. You use them to create and manipulate objects. They access featu

Aplets and their views 2-12Aplets and their viewsAplet viewsThis section examines the options and functionality of the three main views for the Functi

2-2 Aplets and their views– For a Function definition, enter an expression to define F(X). The only independent variable in the expression is X. – For

Aplets and their views 2-3Evaluating expressionsIn aplets In the Symbolic view, a variable is a symbol only, and does not represent one specific valu

2-4 Aplets and their viewsIn HOME You can also evaluate any expression in HOME by entering it into the edit line and pressing . For example, define

Aplets and their views 2-5About the Plot viewAfter entering and selecting (check marking) the expression in the Symbolic view, press . To adjust the

2-6 Aplets and their viewsPlot view settingsThe plot view settings are:Those items with space for a checkmark are settings you can turn on or off. Pre

Aplets and their views 2-7Reset plot settingsTo reset the default values for all plot settings, press CLEAR in the Plot Setup view. To reset the defau

2-8 Aplets and their viewsTrace a graph You can trace along a function using the or key which moves the cursor along the graph. The display also s

Aplets and their views 2-9To jump directly to a valueTo jump straight to a value rather than using the Trace function, use the menu key. Press , th

Contents iii9 Inference apletAbout the Inference aplet ...9-1Getting started with the Inference a

2-10 Aplets and their viewsY-Zoom In Divides vertical scale only, using Y-factor.Y-Zoom Out Multiplies vertical scale only, using Y-factor.Square Chan

Aplets and their views 2-11ZOOM examples The following screens show the effects of zooming options on a plot of . Plot of Zoom In: In Un-zoom: Un-z

2-12 Aplets and their viewsX-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

Aplets and their views 2-135. Press to zoom in on the boxed area.To set zoom factors 1. In the Plot view, press .2. Press . 3. Select Set Factors..

2-14 Aplets and their viewsOther views for scaling and splitting the graphThe preset viewing options menu ( ) contains options for drawing the plot us

Aplets and their views 2-15Split the screen The Plot-Detail view can give you two simultaneous views of the plot. 1. Press . Select Plot-Detail and pr

2-16 Aplets and their views2. To move up and down the table, use the and cursor keys. These keys move the tra.ce point left or right along the plo

Aplets and their views 2-17Setting up the table (Numeric view setup)Press NUM to define any of the table settings. Use the Numeric Setup input form t

2-18 Aplets and their viewsReset numeric settingsTo reset the default values for all table settings, press CLEAR.Exploring the table of numbersNUM vie

Aplets and their views 2-19The display on the right is a Zoom In of the display on the left. The ZOOM factor is 4.HINTTo jump to an independent variab

iv Contents12 Variables and memory managementIntroduction ... 12-1Storing and rec

2-20 Aplets and their views5. Enter the independent values in the left-hand column. Type in a number and press . You do not have to enter them in ord

Aplets and their views 2-21Example: plotting a circlePlot the circle, x 2+ y 2 = 9. First rearrange it to read .To plot both the positive and negative

2-22 Aplets and their views5. Display the functions in numeric form.

Function aplet 3-13Function apletAbout the Function apletThe Function aplet enables you to explore up to 10 real-valued, rectangular functions y in te

3-2 Function apletDefine the expressions2. There are 10 function definition fields on the Function aplet’s Symbolic view screen. They are labeled F1(X

Function aplet 3-3Change the scale6. You can change the scale to see more or less of your graphs. In this example, choose Auto Scale. (See “VIEWS menu

3-4 Function apletAnalyse graph with FCN functions9. Display the Plot view menu. From the Plot view menu, you can use the functions on the FCN menu t

Function aplet 3-512.Choose the linear function whose intersection with the quadratic function you wish to find. The coordinates of the intersection

3-6 Function aplet15.Move the cursor to by pressing the or key. 16.Press to accept using F2(x) = (x + 3) 2 – 2 as the other boundary for the in

Function aplet 3-7HINTThe Root and Extremum functions return one value only even if the function has more than one root or extremum. The function find

Contents v16 ProgrammingIntroduction ...16-1Program catalog ...

3-8 Function apletTo navigate around a table24.Move to X = –5.9. 6 times To go directly to a value25.Move directly to X = 10.1 0 To access the zoom

Function aplet 3-9Function aplet interactive analysisFrom the Plot view ( ), you can use the functions on the FCN menu to find roots, intersections, s

3-10 Function apletFCN functions The FCN functions are:Function Description Root Select Root to find the root of the current function nearest the curs

Function aplet 3-11Shading area You can shade a selected area between functions. This process also gives you an approximate measurement of the area sh

3-12 Function apletPlotting a piecewise-defined functionSuppose you wanted to plot the following piecewise-defined function.1. Open the Function aplet

Parametric aplet 4-14Parametric apletAbout the Parametric apletThe Parametric aplet allows you to explore parametric equations. These are equations in

4-2 Parametric apletSet angle measure3. Set the angle measure to degrees.MODESSelect Degrees Set up the plot 4. Display the graphing options.PLOTThe P

Parametric aplet 4-3Overlay plot 8. Plot a triangle graph over the existing circle graph. PLOT120 Select Overlay Plot A triangle is displayed rath

Polar aplet 5-15Polar apletGetting started with the Polar apletOpen the Polar aplet1. Open the Polar aplet. Select Polar Like the Function aplet, th

vi ContentsReference informationGlossary... R-1Resetting the hp 39g+...

5-2 Polar apletExplore the graph5. Display the Plot view menu key labels.The Plot view options available are the same as those found in the Function a

Sequence aplet 6-16Sequence apletAbout the Sequence apletThe Sequence aplet allows you to explore sequences.You can define a sequence named, for examp

6-2 Sequence apletDefine the expression2. Define the Fibonacci sequence, in which each term (after the first two) is the sum of the preceding two term

Sequence aplet 6-3Select CobwebDisplay the table 6. Display the table of values for this example.

Solve aplet 7-17Solve apletAbout the Solve apletThe Solve aplet solves an equation or an expression for its unknown variable. You define an equation o

7-2 Solve apletshould be solved using matrices or graphs in the Function aplet.Getting started with the Solve apletSuppose you want to find the accele

Solve aplet 7-34. Enter the values for the known variables.2 7 7 8 1 6 6 7 1 0 0 HINTIf the Decimal Mark setting in the Modes input form ( MO

7-4 Solve aplet6. Plot the equation for variable A. Select Auto Scale7. Trace along the graph representing the left side of the equation until the cur

Solve aplet 7-5Use an initial guessYou can usually obtain a faster and more accurate solution if you supply an estimated value for the unknown variabl

Preface P-1PrefaceThe hp 39g+ is a feature-rich graphing calculator. It is also a powerful mathematics learning tool. The hp 39g+ is designed so that

7-6 Solve apletInterpreting resultsAfter Solve has returned a solution, press in the Numeric view for more information. You will see one of the foll

Solve aplet 7-7If Solve could not find a solution, you will see one of the following two messages.HINTIt is important to check the information relatin

7-8 Solve apletwhere X is distance, V0 is initial velocity, T is time, and A is acceleration. This is actually two equations, Y = X and Y = V0 T + (AT

Solve aplet 7-95. Move the cursor near the positive (right-side) intersection. This cursor value will be an initial guess for T.Press until the curso

7-10 Solve apletUsing variables in equationsYou can use any of the real variable names, A to Z and θ. Do not use variable names defined for other type

Statistics aplet 8-18Statistics apletAbout the Statistics apletThe Statistics aplet can store up to ten data sets at one time. It can perform one-vari

8-2 Statistics apletOpen the Statistics aplet1. Open the Statistics aplet and clear existing data by pressing . Select Statistics The Statistics aple

Statistics aplet 8-3Choose fit and data columns4. Select a fit in the Symbolic setup view. SETUP-SYMB Select LinearYou can create up to five explorati

8-4 Statistics apletSetup plot 8. Change the plotting range to ensure all the data points are plotted (and select a different point mark, if you wish)

Statistics aplet 8-5Predict values 13.To find the predicted sales figure if advertising were to go up to 6 minutes: S (to highlight Stat-Two) (to