Overlay plot Display the numbers, 120 | HP 39gs Graphing specification

Overlay plot

Display the numbers

8.Plot a triangle graph over the existing circle graph.

PLOT

120

Select Overlay Plot

A triangle is displayed

rather than a circle (without changing the equation)

because the changed value of TSTEP ensures that points being plotted are 120° apart instead of nearly continuous.

You are able to explore the graph using trace, zoom, split screen, and scaling functionality available in the Function aplet. See “Exploring the graph” on page 2- 7 for further information.

9.Display the table of values.

You can highlight a t-value, type in a replacement value, and see the table jump

to that value. You can also zoom in or zoom out on any t-value in the table.

You are able to explore the table using ,

, build your own table, and split screen functionality available in the Function aplet. See “Exploring the table of numbers” on page 2-17 for further information.

Parametric aplet

4-3

Image 77

HP 39gs Graphing manual Overlay plot Display the numbers, Plot a triangle graph over the existing circle graph, 120

Contents

Edition3 Part Number F2223AA-90001 Users guide Edition December June Printing HistoryUSA Contents 10-6 Using variables in equations10-1 11-4 11-111-8 11-9 Program constants 13-24 Physical constants 13-25 13-24Introduction 14-1 Storing and recalling variables 14-2 14-4 18-9 18-718-30 19-1 Service Regulatory information Manual conventions PrefaceHewlett Packard’s Calculators web site can be found at Function, Polar, ParametricPage Home On/off, cancel operationsGetting started Display To adjustParts of the display Contrast Infrared or cable KeyboardMenu keys Aplet library on Aplet control keysDisplays the Views menu. See Aplet views on Button performs Entry/Edit keys Shifted keystrokes Math keys Helpwith Menus CommandsProgram Inactive keys Input forms Reset input form values You use the Modes input form to set the modes for Home Mode settings Setting a mode Press to return to Home Aplets E-lessons Polar Example x = cost and y = sintSequence Sequence functions U in terms of n, or Another sequence, such as Un 1 Quad Explorer aplet Transformations reflected in the equation Press to display the aplet’s Symbolic view Symbolic view Plot viewAplet library Aplet views Select Overlay Plot Select Plot-TableSelect Plot-Detail Sketch view Aplet view configurationPlot Setup Numeric Setup Symbolic Setup To save aplet configuration Where to startMathematical calculations Entering expressions Using Long results Negative numbers Scientific notation powersExplicit and implicit multiplication 23 3 EEX Entering Calculates Sin 45 + π Parentheses Input Output Last input Edit line Last output Getting started Storing a value in a variable Setting Fraction mode Using fractionsAccessing the display history Clearing the display history Setting fraction precision Fraction Fraction calculationsSelect Fraction as Converting decimals to fractionsEnter the calculation Evaluate the calculation This example, the fraction precision is set to Complex numbers Catalogs and editors Defining an expression Symbolic view About the Symbolic viewAplets and their views Aplet views Independent variable in the expressions is T Select Function Evaluating expressionsAplets Home About the Plot view Setting up the plot Plot view setup ΘSTEP Plot view settingsΘRNG Exploring the graph Reset plot settings To move between relations Trace a graph Zoom options Zoom within a graphTo jump directly to a value To turn trace on/off Set SquareFactors Auto Scale Now un-zoom Un-zoom To box zoom Views menu options Other views for scaling and splitting the graph Split the screen Unit. Resets default values forMaking each pixel=1 unit. Not Pixel=π/24 radian, 7.58, or Decimal scaling Overlay plotsInteger scaling Trigonometric About the numeric view Setting up the table Numeric view setup NUM view menu keys Zoom within a table Numeric view settingsExploring the table of numbers Integer Numstart and Numstep Build a table Building your own table of numbersClear data Numtype Build Your Own Example plotting a circle Build Your Own menu keys Function aplet, specify the functions Reset the graph setup to the default settingsFunction Display the functions in numeric formPage About the Function aplet Function apletGetting started with the Function aplet Open the Function aplet Plot the functions Define the expressions Set up the plotSpecify a grid for the graph Plot the functions Select Auto Change the scale Trace a graphScale Times Select Root Analyse graph with FCN functions Select Signed area Select Slope Select Extremum To find the extremum of the quadratic Display the table of values Display the numeric viewExplore the table Display the symbolic definition for the F1 column Symbolic definition A columnSymbolic definition F1 is displayed at Bottom of the screen To display Or to choose a variable Function aplet interactive analysisSelect Plot FCN Root FCN functionsExtremum Slope Shading area Symbolic view. DisplaysIntersection Cursor. You need to have at Plotting a piecewise-defined function About the Parametric aplet Parametric apletGetting started with the Parametric aplet Define the expressions Set angle measure Set up the plot Plot the expressionSet the angle measure to degrees Select Degrees 120 Overlay plot Display the numbersPlot a triangle graph over the existing circle graph Page Getting started with the Polar aplet Polar apletOpen the Polar aplet Select Polar Display the Plot view menu key labels Explore the graph Display the numbers Getting started with the Sequence aplet Sequence apletAbout the Sequence aplet Open the Sequence aplet Define the expression Specify plot settingsSequence Menu keys to assist in the entry of equations Plot the sequence Plot Setup, set the Seqplot option to CobwebSelect Cobweb Display the . Display the table of values for this examplePage About the Solve aplet Solve aplet Open the Solve aplet Getting started with the Solve apletDefine the equation Enter known variables Select Solve Modes is set to Comma, use instead Solve the unknown variable Plot the equation Solve aplet’s NUM view keys are Plot the equation for variable aCopies the highlighted value to Displays other pages of variables, if Use an initial guess Interpreting results Consider the equation of motion for an accelerating body Plotting to find guesses Plot the graph To highlight T Press until the cursor is at the intersection Using variables in equations Open the Linear Sequence aplet Linear Solver apletSelect Linear Solver Hence we need the three-equation input form Solver was able to find solutions for x, y, and z as Linear Solver aplet Page About the Triangle Solver aplet Triangle Solve aplet Triangle Solver Open the Triangle Solver aplet Errors Addition, you cannot specify only angles and no lengths Not enough data Getting started with the Statistics aplet Statistics apletAbout the Statistics aplet Select Statistics Enter dataEnter the data into the columns To move to the next column Value is Select a fit in the Symbolic setup viewChoose fit and data columns Explore statistics Display the equation for best linear fit Setup plot Plot the graph Draw the regression curveTo move to the FIT1 field Slope m is 425.875. The y-intercept b is Stat-Two Predict valuesTo highlight Statistics aplet’s Numeric view keys are Entering and editing statistical data Statistics Copies the column variable or Expression in standard Mathematical form. Press When DoneVariable expression to the edit line Expression Again before re-use Clear is usedData sets will need to be selected Plot a histogram of the data Save data Edit a data set Sort data values Delete data Insert data Defining a regression model Angle SettingTo choose the fit Fit models To define your own fit 7,8,15,16,17 Computed statistics Columns for a linear fit only PlottingTwo-variable To plot statistical data Plot typesHistogram Box and Whisker Plot Correlation coefficient Fitting a curve to 2VAR dataScatter Plot Plotting mark 2VAR Connected points 2VAR Setting up the plot Plot setup viewRelative Error Erases the plot Trouble-shooting a plotStatistics aplet’s Plot view keys Find predicted values Calculating predicted valuesAccording to the current regression Model Statistics aplet 10-21 Page About the Inference aplet Inference apletGetting started with the Inference aplet Open the Inference aplet Inference aplet’s Symb view keys Table below summarizes the options available Symbolic view Select the inferential method Enter data Setup-NUMSelect Hypoth Test Test 1 μ Importing sample statistics from the Statistics aplet Are explained in the feature of this aplet Statistics aplet opens in the Numeric view If the Decimal Mark setting in the Modes input formC1 column, enter the random numbers Produced by the calculator 529 295 952 259 925 592 Open Inference aplet Set up the interval calculationInference Select Conf Interval To move to the C field Display Numeric view Display Plot viewSpecify a 90% Confidence interval in the C field One-Sample Z-Test Hypothesis testsMenu name Inputs Results Two-Sample Z-Test Population 2 standard One-Proportion Z-TestTest 1π Measures the strength of the evidence for a selected Two-Proportion Z-Test One-Sample T-Test With the α level that you Sample standard deviation Pooled? Two-Sample T-Test One-Sample Z-Interval Confidence intervals Two-Sample Z-Interval Two-Proportion Z-Interval One-Proportion Z-Interval One-Sample T-Interval Pooled Two-Sample T-Interval Critical T Critical value for T Background Using the Finance Solver 3 4 Compounding period -- which is PMT Performing TVM calculations Example 1 Loan calculations Example 2 Mortgage with balloon payment To calculate amortizations Calculating AmortizationsExample 3 Amortization for home mortgage To continue amortizing the loan Example 4 Amortization for home mortgage Math functions Using mathematical functionsMath menu Name. Note You do not need to press first Function categories Math functions by categorySyntax Functions common to keyboard and menus Value1+ value2 , etc Keyboard functionsEvalue E5 returns LOG100 returns Returns ABS1,2 returns Nthroot 8 returns Calculus functions∂ s1s1 2+3*s1 returns 2*s1+3 S1,2*X+3,X Taylor Complex number functionsARG Conj Conversions ConstantsMaxreal Minreal Hyperbolic trigonometry Loop functions List functions Polynomial functions Matrix functionsPolycoef Polyeval Polyroot Probability functionsComb Perm Real-number functions Floor DEG→RADFnroot Frac Mant INTMAX MIN RAD→DEG TotalRound Sign Two-variable statistics Symbolic functionsXpon Isolate Quad Test functionsQuote QUADX-12-7,X returns Ifte Trigonometry functionsNot XOR Symbolic calculations To find derivatives in Home Finding derivatives Select F2X and evaluate it To find derivatives in the Function aplet’s Symbolic viewEvaluate the function Show the result For example, to find the indefinite integral To find the indefinite integral using formal variablesYou could also just define Program constants Program constants and physical constants Physical constants 13-26 Introduction Variables and memory management Storing and recalling variables To clear a variable To use variablesCalculations Press Vars menuOpen the Vars menu Names or values of variables into programs Add the contents of two list variables, and to storeExample Result in another list variable 14-6 17-5 for more information on That you can configure usingTo store into a graphics variable on X0, Y0 to X9, Y9 Symbolic view. See To access an apletVariable Aplet variables on page R-7 Line, press and press Memory ManagerDetails of variables within the category To delete variables in a categoryPage Vectors MatricesMatrices Matrix Variables POLYROOT1,0,-1,0 M1 Creating and storing matricesMatrix Catalog keys To create a matrix in the Matrix Catalog To transmit a matrix Working with matrices Or column you are prompted to Deletes the highlighted cells, rowMake a choice Moves to the first row, last row, first Create the second matrix Matrix arithmeticTo store one element Matrices 15-7 Open the Matrix catalog and create a vector Solving systems of linear equations Select Real matrix About commands Matrix functions and commandsArgument conventions About functions Cross CondDET DOT Rank MakematRownorm Rref Examples Transposing a Matrix Reduced-Row Echelon Form Matrices 15-15 Page You can create, edit, delete, send, and receive named Lists List catalog keys List edit keys Create a list To display a list Displaying and editing listsTo display one Element To insert an element 1. Open the List catalog A listPress , and press 148 L12 Deleting lists List functionsTransmitting lists To delete a list CONCATlist1,list2 2,3 returns 5,10,15CONCAT1,2,3,4 returns 1,2,3,4 ΔLISTlist1 ΠLIST2,3,4 returns 23 27 Calculates the product of all elements in listΠLISTlist Finding statistical values for list elements 16-10 To write a note in Note view Aplet note viewYour work is automatically saved. Press any view key Or to exit the Notes view Commands Contents of variablesSpace key for text entry Alpha-lock for letter entry To draw a line Aplet sketch viewSketch keys Draw keys To draw a box Press to continue drawing, or press Mynote Begins a new note, and asks Opens the selected note forFor a name Another HP 39gs or PC Press instead Programming Contents of a Program Structured Programming Open Program Catalog Program catalogBe simple-or it can be divided further into other Programs that perform smaller tasks Program catalog keys Press Progrm to open the Program catalog Creating and editing programsCreate a new program Edit a program 1. Press Progrm to On the left, use or to highlight a commandPress to paste the command into the program editor Editing keys Run a program Debug a program Stop a program Using programs Transmit a program Customizing an aplet Example Aplet naming convention Save the aplet Configuring the Setviews menu option programs ’’My Entry1’’’’EXP.ME1’’1 Setviews ’’’’ ’’’’18’’My Entry2’’’’EXP.ME2’’3 ’’ ’’’’EXP.SV’’0 ’’Start’’’’EXP.S’’7 Programming commands’’’’’’EXP.ANG’’0 Check Aplet commandsSelect Setviews Auto-run programs Associating programs with your aplet Including standard menu options ProgramNameViewNumber Uncheck Branch commandsIF...THEN...END Uncheck n END CASE...END Iferr Then ELSE… IF... THEN... ElseEND If A==1 Stop Drawing commandsRUN Erase BOXFreeze Line Graphic commands Makegrob GrobxorPLOT→ →PLOT Loop commands Matrix commands Redim RandmatScale Scaleadd Prompt commands Print commands Disp ClrvarDispxy Disp 3A is 2+2 Editmat matrixname Disptime51.52HELLO Msgbox GetkeyInput Stat-Two commands Stat-One and Stat-Two commandsStat-One commands Storing and retrieving variables in programs Plot-view variables Hmin/Hmax GridIndep InvCross Labels IsectRecenter Root SeqPlot S1mark-S5markSimult Slope Ustep Umin/UmaxTmin / Tmax Tracing Xcross TstepYcross Ytick Yzoom Ymin / Ymax Symbolic-view variables Cubic S2fit S1fit...S5fit C1...C9, C0 Numeric-view variablesDigits Format NumFont NumColNumIndep NumRow NumType NumStepNumZoom StatMode PageNum Sketch variablesFollowing aplet variable is available in Note view Graphicname Creating new aplets based on existing aplets Extending aplets Degrees Open the Solve aplet and save it under the new nameSolve Choose the sine formula in E1 Resetting an apletUsing a customized aplet Hewlett-Packard’s Calculators web site can be found at Downloading e-lessons from the webSending and receiving aplets To transmit an aplet To sort the aplet list To delete an aplet Sorting items in the aplet library menu list Glossary Reference informationExpression line# Cross matrix1,matrix2 Record using the Program editor Editor and catalog Matrix Two-dimensional array of valuesVector One-dimensional array of values Set to Comma and enclosed To reset using the keyboard Resetting the HP 39gsTo erase all memory and reset defaults Batteries Operating detailsIf the calculator does not turn on To install the main batteries To install the backup battery Home variables Variables Angle Function aplet variablesArea Root Extremum Slope Isect Parametric aplet variables are Category Available name Plot Parametric aplet variables Polar aplet variables are Category Available names Plot Polar aplet variables Sequence aplet variables are Category Available name Plot Sequence aplet variables Digits NumCol Format NumRow Solve aplet variablesSolve aplet variables are Category Available name Plot Statistics aplet variables Math functions Math menu categoriesMath functions are Category Available name Calculus Hyperb Polynom Category Available name Matrix Standard Sci Fixed Eng Fraction Degrees Grads RadiansCobweb Stairstep Stat1Var Stat2Var Wavelength, λc Compt w... Compton Program commands are Category Command Aplet Program commandsBranch Print Status messages Category Command Stat-Two Function name in the index to Also be correct. Look upFind its proper syntax Function value, root, extremumPage HP 39gs Graphing Calculator Warranty period 12 months Limited WarrantyPage Service Rotc = Rest of the country Canada 905 206-4663 or Regulatory information This marking is valid for EU XxxxPage Page Branch structures 18-17 build your own table Index Contrast Freeze 18-20 Line 18-20 Pixoff 18-20 Pixon 18-20 Tline Acosh Alog Asinh Atanh Cosh EXP GroborPage Page Angle measure 1-10 decimal mark 1-11 number format Trigonometric scaling 2-14 two-variablestatistics Sending and receiving 18-8 structured Menu lists 1-8 speed searches Navigate around 3-8 numeric values 3-7 numeric view setup Page