Getting started with the Solve aplet | HP 39g+ Graphing instruction

should be solved using matrices or graphs in the Function aplet.

Getting started with the Solve aplet

Open the Solve aplet

Suppose you want to find the acceleration needed to increase the speed of a car from 16.67 m/sec (60 kph) to 27.78 m/sec (100 kph) in a distance of 100 m.

The equation to solve is:

V2 = U2 + 2AD

1.Open the Solve aplet.

Select Solve

The Solve aplet starts in the symbolic view.

Define the equation

Enter known variables

2.Define the equation.

V

U

2

A

D

Note: You can use the menu key to assist in the entry of equations.

3. Display the Solve numeric view screen.

7-2	Solve aplet

Image 86

HP 39g+ Graphing Getting started with the Solve aplet, Open the Solve aplet, Define the equation Enter known variables

Contents

User’s guide Edition Part Number F2224-90001 Printing History Edition December Contents About the Solve aplet Using variables in equationsPlotting a piecewise-defined function Getting started with the Polar aplet 10-7 Confidence intervals One-Sample Z-IntervalOne-Proportion Z-Interval 11-1 Variables and memory management Creating and editing programs 16-4 16-116-2 16-7 Operating details Glossary Resetting the hp 39g+Service Regulatory information Variables Home variables Hewlett Packard’s Calculators web site can be found at PrefaceManual conventions Function, Polar, Parametric Preface Getting started On/off, cancel operationsTo cancel To turn on Parts of the display To adjustDisplay Contrast Infrared or cable KeyboardMenu keys Aplet control keys Displays the Aplet Library menu. See Aplet library on Button performs Entry/Edit keysSame Shifted keystrokes Helpwith Math keys Program CommandsMenus Inactive keys Reset input form values Input forms Current aplet and Home give Mode settingsYou use the Modes input form to set the modes for Home Same result Lists and matrices, and to separate Setting Options NumberFunction arguments. Comma mode Uses periods dot as separators Press to return to Home Setting a modeAplets E-lessons Sequence Sequence functions U in terms of n, or Example x = cost and y = sintPolar Another sequence, such as Un 1 Quad Explorer aplet Seen by experimenting Keys Transforms Graph, with theseAmplitude and frequency Aplet views Symbolic viewAplet library Select Plot-Detail Plot view Numeric view Plot-Table view Plot-Detail viewSelect Plot-Table Overlay Plot view Sketch view Aplet view configurationPlot Setup Views menu contains the Overlay Plot view Mathematical calculations Numeric Setup Symbolic SetupWhere to start Entering expressions 23 3 EEX Long results Negative numbers Scientific notation powersUsing Entering Calculates Sin 45 + π Explicit and implicit multiplicationParentheses 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 Converting decimals to fractions Complex numbers Catalogs and editors Aplets and their views About the Symbolic viewDefining an expression Symbolic view Aplet views Independent variable in the expressions is T U0. Define the nth term Select Function Evaluating expressionsAplets Home Setting up the plot Plot view setup About the Plot view ΘSTEP Plot view settingsΘRNG Reset plot settings Exploring the graph Trace a graph To move between relations Zoom options Zoom within a graphTo jump directly to a value To turn trace on/off Factors SquareSet Auto Scale Un-zoom Now un-zoom One diagonal of the zoom rectangle To box zoomBox Zoom option lets you draw a box around To turn on the menu-key Press to zoom in on the boxed area Other views for scaling and splitting the graph Views menu options Press or Split the screenPixel=π/24 radian, 7.58, or About the numeric view Setting up the table Numeric view setup Numeric view settings Numstart and Numstep Exploring the table of numbersNUM view menu keys Zoom within a table Numtype Build Your Own Building your own table of numbersBuild a table Build Your Own menu keys Clear data Plot the circle, x 2+ y 2 = 9. First rearrange it to read Reset the graph setup to the default settingsExample plotting a circle Function aplet, specify the functions Display the functions in numeric form Getting started with the Function aplet Function apletAbout the Function aplet Open the Function aplet Specify a grid for the graph Define the expressions Set up the plotPlot the functions Plot the functions Scale Change the scale Trace a graphSelect Auto Times Analyse graph with FCN functions Select Root Select Slope Select Signed area To find the extremum of the quadratic Select Extremum Display the table of values Display the numeric viewExplore the table Symbolic definition F1 is displayed at Bottom of the screen Symbolic definition A columnDisplay the symbolic definition for the F1 column To display Or to choose a variable Function aplet interactive analysisSelect Plot FCN Extremum FCN functionsRoot Slope Intersection Symbolic view. DisplaysShading area Cursor. You need to have at Plotting a piecewise-defined function Getting started with the Parametric aplet Parametric apletAbout the Parametric aplet Define the expressions Set the angle measure to degrees Set up the plot Plot the expressionSet angle measure Select Degrees 120 Overlay plot Display the numbersPlot a triangle graph over the existing circle graph Page Open the Polar aplet Polar apletGetting started with the Polar aplet Select Polar Explore the graph Display the numbers Display the Plot view menu key labels About the Sequence aplet Sequence aplet starts in the Symbolic viewSequence aplet Getting started with the Sequence aplet Plot Setup, set the Seqplot option to Cobweb Menu keys to assist in the entry of equations Select Cobweb Display the . Display the table of values for this examplePage Solve aplet About the Solve aplet Define the equation Enter known variables Getting started with the Solve apletOpen the Solve aplet Select Solve Solve the unknown variable Plot the equation Select Auto Scale Use an initial guess Interpreting results Plotting to find guesses Consider the equation of motion for an accelerating body To highlight T Plot the graph Press until the cursor is at the intersection Using variables in equations Getting started with the Statistics aplet Statistics apletAbout the Statistics aplet To move to the next column Enter dataSelect Statistics Select Linear Select a fit in the Symbolic setup viewChoose fit and data columns Explore statistics Value is To move to the FIT1 field Setup plot Plot the graph Draw the regression curveDisplay the equation for best linear fit Slope m is 425.875. The y-intercept b is Predict values To highlight Entering and editing statistical data Statistics aplet’s Numeric view keys are Statistics Copies the column variable or Variable expression to the edit line Again before re-use Clear is usedData sets will need to be selected Save data Plot a histogram of the data Edit a data set Delete data Insert data Sort data values To choose the fit Angle SettingDefining a regression model Fit models Computed statistics To define your own fit ΣX2 Two-variable7,8,15,16,17 Columns for a linear fit only PlottingTo plot statistical data Plot types Histogram Box and Whisker Plot Scatter Plot Correlation coefficient Relative ErrorFitting a curve to 2VAR data Histogram range Plotting mark 2VAR Connected points 2VAR Setting up the plot Plot setup viewTrouble-shooting a plot Statistics aplet’s Plot view keys Erases the plot Calculating predicted values Find predicted values Statistics aplet Page Getting started with the Inference aplet Inference apletAbout the Inference aplet Open the Inference aplet Table below summarizes the options available Symbolic view Inference aplet’s Symb view keys Select Hypoth Test Setup-NUMSelect the inferential method Enter data Test 1 ∝ Are explained in the feature of this aplet Importing sample statistics from the Statistics aplet C1 column, enter the random numbers If the Decimal Mark setting in the Modes input formStatistics aplet opens in the Numeric view Produced by the calculator 529 295 952 259 925 592 Inference Set up the interval calculationOpen Inference aplet Select Conf Interval To move to the C field Display Numeric view Display Plot viewSpecify a 90% Confidence interval in the C field Menu name Hypothesis testsOne-Sample Z-Test Inputs Two-Sample Z-Test Results Test 1π One-Proportion Z-TestPopulation 2 standard Measures the strength of the evidence for a selected Two-Proportion Z-Test One-Sample T-Test Sample standard deviation With the α level that you Two-Sample T-Test Pooled? Confidence intervals One-Sample Z-Interval Two-Sample Z-Interval One-Proportion Z-Interval Two-Proportion Z-Interval One-Sample T-Interval Two-Sample T-Interval Pooled Critical T Critical value for T Using the Finance Solver Background 3 4 Compounding period -- which is Performing TVM calculations Example 1 Loan calculations Soft menu key. The resulting value is PV = $15,705.85 Example 2 Mortgage with balloon payment Example 3 Amortization for home mortgage Calculating AmortizationsTo calculate amortizations To continue amortizing the loan Example 4 Amortization for home mortgage Math menu Using mathematical functionsMath functions Name. Note You do not need to press first Syntax Math functions by categoryFunction categories Functions common to keyboard and menus Evalue Keyboard functionsValue1+ value2 , etc E5 returns Returns LOG100 returns ABS1,2 returns ∂ s1s1 2+3*s1 returns 2*s1+3 Calculus functionsNthroot 8 returns S1,2*X+3,X ARG Complex number functionsTaylor Conj Constants Hyperbolic trigonometry List functions Loop functions Polycoef Matrix functionsPolynomial functions POLYCOEF2,-3,4,-5 returns1,2,-25 Polyroot PolyevalPolyform Perm Probability functionsComb Random Real-number functions HMS→ FnrootFrac →HMS MOD MAXMIN Change Sign Two-variable statisticsRound Truncate LINEAR? Symbolic functionsIsolate Quad Test functions Quote Trigonometry functions SEC Symbolic calculationsUsing formal variables SECvalue To find derivatives in Home Symbolic calculations in the Function apletFinding derivatives Select F2X and evaluate it To find derivatives in the Function aplet’s Symbolic viewShow the result You could also just define Thus, substituting X for S1, it can be seen that To find the indefinite integral using formal variablesFor example, to find the indefinite integral 11-24 Variables and memory management Introduction Storing and recalling variables You can use variables in calculations. The calculator To use variablesCalculations Substitutes the variable’s value in the calculation Press Vars menuOpen the Vars menu Move the highlight to the variables column Example Add the contents of two list variables, and to storeNames or values of variables into programs Result in another list variable 12-6 Variable on page 15-5 for more That you can configure usingReal part, and i represents Information on storing graphic object via Variable To access an apletX0, Y0 to X9, Y9 Symbolic view. See Aplet variables on page R-7 Memory Manager Line, press and pressPage Matrices MatricesVectors Matrix Variables POLYROOT1,0,-1,0XM1 Creating and storing matricesMatrix Catalog keys To create a matrix in the Matrix Catalog Or column you are prompted to Make a choice Working with matricesTo transmit a matrix Key Meaning Moves to the first row, last row, first If M2 is 3,4,5,6, then M21,2 returns Create the second matrix Matrix arithmeticTo store one element Matrices 13-7 Element Solving systems of linear equationsTo negate each Select Real matrix Matrix functions and commandsAbout functions Cond Argument conventionsColnorm Cross Eigenval DETDOT Eigenvv Rref RankRownorm Schur SVL ExamplesSVD Trace Reduced-Row Echelon Form Following set of equations x 2y + 3z = 14 2x + y z = Lists You can create, edit, delete, send, and receive named List catalog keys Create a list List edit keys To display one Displaying and editing listsTo display a list To edit a list Press , and press A listTo insert an element 1. Open the List catalog 148 L12 Transmitting lists List functionsDeleting lists To delete a list CONCAT1,2,3,4 returns 1,2,3,4 2,3 returns 5,10,15CONCATlist1,list2 ∆LISTlist1 POSlist, element ΠLISTlistΠLIST2,3,4 returns POS 3, 7, 12, 19,12 returns Sorts elements in ascending order. SORTlist Finding statistical values for list elementsΣLIST2,3,4 returns List, L1 Create L1 with values 88, 90, 89, 65, 70, Are now in column 1 C1 Your work is automatically saved. Press any view key Aplet note viewTo write a note in Note view Or to exit the Notes view Space key for text entry Contents of variablesCommands Alpha-lock for letter entry To draw a line Aplet sketch viewSketch keys To draw a box Draw keys Press to continue drawing, or press Mynote For a name Opens the selected note forBegins a new note, and asks Another hp 39g+ or PC Press instead Contents of a Program Structured Programming Programming Be simple-or it can be divided further into other Program catalogOpen Program Catalog 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 Using programs Run a program Debug a program Stop a program Transmit a program Customizing an aplet Aplet naming convention Example Configuring the Setviews menu option programs Save the aplet ’’My Entry2’’’’EXP.ME2’’3 Setviews ’’’’ ’’’’18’’My Entry1’’’’EXP.ME1’’1 ’’ ’’’’EXP.SV’’0 ’’START’’’’EXP.S’’7 Programming commands’’’’’’EXP.ANG’’0 Select Aplet commandsCheck Setviews Associating programs with your aplet Auto-run programs Including standard menu options ProgramNameViewNumber Uncheck n Branch commandsIF...THEN...END 1XA END CASE...END Iferr Then Iferr trap-clause Then error-clause ENDIF... THEN... Else END Stop Drawing commandsRUN ARC Graphic commands Grobnot →DISPLAY→GROB Grobor Loop commands Do a + 1 X a Until a == Matrix commands Editmat DelcolDelrow Randmat Print commands Prompt commands Disptime ChooseDisp Disp 3A is 2+2 Input Input nametitle,labelhelpdefaultGetkey Editmat matrixname Prompt Stat-One and Stat-Two commandsMsgbox Wait Stat-One commands Stat-Two commands Area Storing and retrieving variables in programsPlot-view variables Axes FastRes CoordExtremum Grid InvCross HwidthIndep Isect Root Nmin / NmaxRecenter S1mark-S5mark StatPlot SimultSlope Umin/Umax Tstep Tmin / TmaxTracing Xcross Xmin / Xmax XtickYtick Ymin / Ymax Symbolic-view variables E1...E9, E0 R1...R9, R0U1...U9, U0 S1fit...S5fit Digits Numeric-view variablesC1...C9, C0 Format NumIndep NumColNumFont NumRow NumZoom NumStepNumType StatMode Graphicname X Sketch variablesPageNum PageNum Extending aplets Creating new aplets based on existing 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 Sorting items in the aplet library menu list To transmit an aplet To sort the aplet list To delete an aplet Expression line# Reference informationGlossary Cross matrix1,matrix2 Vector One-dimensional array of values Editor and catalog Matrix Two-dimensional array of valuesRecord using the Program editor Set to Comma and enclosed To reset using the keyboard Resetting the hp 39g+To erase all memory and reset defaults Split screens Batteries Operating detailsIf the calculator does not turn on To install the main batteries To install the backup battery Variables Home variables Angle Function aplet variablesArea Root Extremum Slope Isect Parametric aplet variables Parametric aplet variables are Category Available name Plot Polar aplet variables Polar aplet variables are Category Available names Plot Sequence aplet variables Sequence aplet variables are Category Available name Plot Digits NumCol Format NumRow Solve aplet variablesSolve aplet variables are Category Available name Plot Statistics aplet variables Math functions are Category Available name Calculus Math menu categoriesMath functions Hyperb Category Available name Matrix Polynom Program constants Branch Program commandsProgram commands are Category Command Aplet Print Status messages Current screen Function value, root, extremumOr intersection is not visible Such as 0/0 Limiting Warranty Hp 39g+ Graphing Calculator Warranty period 12 months Limiting Warranty Service Canada 905 206-4663 or Rotc = Rest of the country Regulatory information USA Limiting Warranty Index Maximum real number 11-8 minimum real number Freeze 16-20 Line 16-20 Pixoff 16-20 Pixon 16-20 Tline Grobor Grobxor Inverse hyperbolic cosine 11-8 inverse hyperbolic functions Break Angle measure 1-10 decimal mark 1-11 number format Order of precedence 1-21 overlaying plots 2-16,4-3 11-8 Sending and receiving 16-8 structured Menu lists 1-8 speed searches Navigate around 3-8 numeric values 3-7 numeric view setup Index