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HP Prime Graphing NW280AAABA manual Trace, Trig

Models: Prime Graphing NW280AAABA

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Trig

Trace

[Scope: Advanced Graphing, Function, Parametric, Polar, Sequence, Solve, Statistics 1 Var, and Statistics 2Var.]

The tracing functionality enables you to move a cursor (the trace cursor) along the current graph. You move the trace cursor by pressing <or >. You can also move the trace cursor by tapping on or near the current plot. The trace cursor jumps to the point

on the plot that is closest point to where you tapped.

The current coordinates of the cursor are shown at the bottom of the screen. (If menu buttons are hiding the coordinates, tap to hide the buttons.)

Trace mode and coordinate display are automatically turned on when a plot is drawn.

To select a Except in the Advanced Graphing app, if there is more than one

plotplot displayed, press =or \until the trace cursor is on the plot you are interested in.

In the Advanced Graphing app, tap-and-hold on the plot you are interested in. Either the plot is selected, or a menu of plots appears for you select one.

94	An introduction to HP apps

Page 98

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HP Prime Graphing NW280AAABA manual Trace, Trig

Contents

HP Prime Graphing Calculator User GuideEdition1 Part Number NW280-2001 Legal Notices Product Regulatory & Environment InformationJuly Printing HistoryEdition Page Contents Common operations in Plot view Zoom Trace Application Library App views Symbolic viewPlot view Function app 233 Computed statisticsGetting started with the Parametric app 271 Getting started with the Polar app 277Variables Lists Basic integer arithmetic Status messagesPreface Manual conventionsFunction, Polar, Parametric, Ans, etc Getting started Before startingOn/off, cancel operations Display Sections of the display Lowercase when a key is pressed Be entered in uppercase when aUppercase when a key is pressed You are working in CAS view, notNavigation Touch gestures Keyboard Context-sensitive menu Entry and edit keys Primary entry and edit keys areEan operators Minute, or second symbol accordComparison operators and Bool CharactersShift keys Adding text Math keys Math templateMath shortcuts Pressing ca third time will cycle back to Fractions Hexagesimal numbers236…. Press conce to see 219602 and again to see Original decimal representationEEX key powers Return home H Enter 4BQ13 s6B23n 3BQ5Menus To select from a menuAlternatively, select the field and tap Input formsToolbox menus System-wide settings Home settings23E2 in Scientific Becomes 123.46Fixed 2 format Becomes 1.23E9 in EngineerOr a+b*i Menus are presented descriptively Commands on the Math and CASShorthand. The default is to provide Or in common mathematicalYYYY/MM/DD, DD/MM/YYYY, or MM/DD/YYYYSpecifying a Home setting Press SH Settings to openMathematical calculations Where to startAlways one-dimensional Choosing an entry typeRPN Reverse Polish Notation. Not available in CAS view Examples that follow assume that the entry mode isEntering expressions TextbookExample Parentheses R23jw14S j8nQ3 h45EE45+Sz Negative numbersAlgebraic precedence Sj85s9Reusing previous expressions and results Explicit and implied multiplication Large resultsResult Using the clipboardTo reuse the last SjS+E Storing a value in a variableSj2E Example To assign π2 to to the variable a Szj AaESzj AQAcE R2o3 Ay6E Complex numbersSharing data When is tapped HP Prime to anotherOnline Help RPN is available in Home view, but not in CAS view Reverse Polish Notation RPNRPN Reverse Polish Notation History in RPN mode Results Re-usingSample calculations SzX3Reverse Polish Notation RPN Stack Manipulating the stackSwap Show an item Delete an item Delete all items Computer algebra system CAS CAS viewCAS calculations Menu buttons in CAS view are Assigns an object to a variableAsw2 Settings2Asj+3 5Asjw6Ments Radians or Degrees Standard or Scientific or EngineeringRecursive Replacement See also Recursive Evalua Tion aboveComputer algebra system CAS Computer algebra system CAS Exam Mode Don’t want disabled are not selected Modifying the default configurationPress SH. The Home Settings screen appears Tap Press O+ A+ cCreating a new configuration Before, the only base configuration will be Default ExamActivating Exam Mode To activate exam mode Tap If a configuration other than DefaultTo change a configuration Modifying configurationsCancelling exam mode Tap Exam Mode screen appears To return to the default configurationDeleting configurations Exam Mode An introduction to HP apps Solve Explore equations in one or more real Linear SolverEquations Application Library To delete an app Other options Confidence level, and select a type Symbolic viewApp views TestSymbolic Setup view Solve Symbolic viewPlot view Plot Setup view Advanced View a table of numbers generated by Graphing Test selected in Symbolic viewNumeric view Advanced Specify the numbers to be calculated Graphing Numeric Setup viewSymbolic view, and set the zoom factor 4Szf n2f jE Quick exampleOpen the app N2fPress Pto return to Plot view and see the complete plot Press PPress SP Set the second θRNG field to 4π by entering Numeric View Common operations in Symbolic viewΘ column to be 1. You set this up in the Numeric Setup view Definitional building blocks Add a definitionModify a definition From Home variables F9X=X2+Statistics2Var.PredY6 Evaluate a dependent definitionSelect or deselect a definition to explore X2+X+ 2 *X2Choose a color for plots Delete a definitionSymbolic view Summary of menu buttons Restore default settings Common operations in Symbolic Setup viewOverride system-wide settings Press SYto open Symbolic Setup viewZoom factors Zoom options Common operations in Plot viewZoom Center on By the X Zoom and Y Zoom settingsZoom setting Shortcut press wShows a representative piece of the plot Given the supplied x axis settings. ForGraph with the original plot settings Apps, autoscaling rescales both axesSplit-screen Testing aZoom with ViewingShown, tap OutDecimal SquareAutoscale IntegerTrace TrigTo evaluate a definition To turn tracing on or off Plot view Summary of menu buttons Common operations in Plot Setup viewConfigure Plot view Sequence Only Parametric OnlyPolar only Stats 1 Var onlyPanning and zooming Sets the initial range of the x-axis. NoteThat here are two fields one for Sets the initial range of the y-axis. NoteGraphing methods Restore default settings Common operations in Numeric viewZoom options Zoom keys Zoom menu Evaluating Custom tables Deleting dataSelect Ascending or Descending , Numeric view Summary of menu buttonsStart typing a new value Only visible if Numtype is set to Common operations in Numeric Setup view Modifying Numeric SetupCombining Plot and Numeric Views Adding a note to an appCreating an app Fibonacci in this example App functions and variables Asjw5Tap This opens a menu of app variables Select Statistics 1Var results MeanXFunction app Getting started with the Function appOpen the Function app ISelect Open the Function app Define the expressionsRdw1 jw3E FunctionSet up the plot Plot the functions Trace a graph Change the scale Display Numeric view Set up Numeric view Display the Numeric Setup view SMSetupTo navigate around a table Press SJClear to reset all the settings to their defaultsExplore Numeric view Substituted the values in the X column for xOptions To access the zoomTo go directly to a value To find a root of the quadratic function Analyzing functionsDisplay the Plot view menu =or\Functions To find anIntersection of two IntersectionTo find the slope of the quadratic function To find the signed area between the two functions Extremum Function VariablesTo find QuadraticTap and select Function Select Results and then the variable of interestSlope Summary of FCN operationsNamed Extremum Advanced Graphing app Getting started with the Advanced Graphing app + n5 Open the app Define the open sentenceJn2 ISelect Advanced Graphing128 Advanced Graphing app Advanced Graphing app 129 Inequalities, for example You can move in any direction withinRegion. Use this option for EdgeNumeric view Display the Numeric view Explore Numeric view Numeric Setup Trace in Numeric viewTrace PoI Trace EdgeSj3n2 Plot Gallery Exploring a plot from the Plot GalleryGeometry Getting started with the Geometry appWith plotfunc on the entry line, enter 3*sinx 3seASsEPlot Function More Tangent Create a Derivative pointAdd some calculations AbscissaGB,slopeGC140 Point D is the point whose ordinate value matches Plot view in detailDerivative Derivative changes by looking at a plot of it rather than142 Hiding names Selecting anObject Moving objectsRemoving fill Coloring objectsFilling objects UndoingObjects Clearing anClearing all Moving aboutPlot view buttons and keys Key Result in Plot view Symbolic view in detail Hiding an object Re-orderingEntries Tap either To move it down the list or Move it upDeleting an Can delete an object in Symbolic viewNumeric view in detail Tap Or press C To delete all objects, press SJListing all Enter radiusGC152 Geometric objects PointsMore Element 0 . . Notice Line Polygon NgonCurve SpecialTriangle’s three vertices Circumcircle is the circleThat passes through each Thus enclosing the triangleSpecial Locus places Geometric transformations Symmetry axis defined in step Tap Select ReflectionAxis and press E. The object is reflected across Given scale factor around a given point as centerSelect Transform Rotation GK,angleGK,GL,GM164 Point Geometry functions and commandsSymbolic view Cmds menu BarycenterElement CenterDivisionpoint InterOrthocenter IsobarycenterMidpoint PointErase trace Point2dStop trace DrawSlpHalfline BisectorExbisector LinePerpenbisector MedianlineParallel Medianlinepoint1, point2, point3Tangent PerpendicularSegment Draws a segment defined by its endpointsEquilateral triangle0,6 draws an equilateral EquilateraltriangleHexagon Equilateral triangle0,6, v draws an equilateralParallelogram IsoscelestriangleIsopolygon IsoscelestriangleGA, GB, angleGC, GA, GBRectangle PolygonQuadrilateral RhombusTriangle RighttriangleSquare Conic CircleCircumcircle CircumcircleGA, GB, GC draws the circleHyperbola EllipseExcircle Excirclepoint1, point2, point3Locus TransformIncircle ParabolaReflection InversionProjection Draws the orthogonal projection of a point onto a curveTranslation RotationSimilarity RotateGA, angleGB, GC, GD,GK rotatesMeasure Plot Numeric view Cmds menu MeasureArcLen AffixAngle AreaDistance2 CoordinatesDistance Area4-x2/4, x=-4..4 returns 14.666…Ordinate EquationExtractmeasure ParameqIscollinear TestRadius IsconcyclicIsisoceles IselementIsequilateral IsorthogonalIsperpendicular IsparallelIsparallelogram IsrectangleConvexhull Other Geometry functionsIssquare HarmonicconjugateIsharmoniclinebundle IsharmonicIsharmoniccirclebundle IsrhombusOpenpolygon LineHorzLineVert PolarRadicalaxis PowerpcPole ReciprocationVertices SingleinterVector Verticesabca194 To open the Spreadsheet app, press Iand select Spreadsheet SpreadsheetGetting started with the Spreadsheet app 196 Select the heading cell for column C, tap and select Select cell D1 Enter a formula to add up your takingsSelect cell C3 Enter a label for your total commission Select cell C5Ancostse Enter a label for your fixed costsBasic operations Navigation, selection and gesturesMethod Cell referencesCell naming COST*0.33 and tap Entering contentEnter Cost and tap Enter Statistics1Var.D1 External functions Select Polynomial Find RootsTo copy one or more cells, select them and press SVCopy External referencesCopy and paste Format, both value and format, or both formula and formatReferencing variables Using the CAS in spreadsheet calculations = Row2-√Row-1. The onlyLine is active Buttons and keysHandled by the CAS, but only Evaluates it Changes toFont Size Auto or from 10 to 22 point Formatting optionsFormatting options appear Format Parameters Spreadsheet functions Statistics 1Var Statistics 1Var appGetting started with the Statistics 1Var app Sample data in D1 Editing. Tap when done Symbolic view menu itemsMenu items you can tap on in Symbolic view are Enters D directly to save you having to press two keys214 Configure a histogram plot for the data Setup Entering and editing statistical dataSpreadsheet.A1A10 D7 E Edit a data set1Var app open, return to Home view and enter Menu items you can tap on in Numeric view areDelete data Insert data Generating data Sort data values Computed statistics To plot statistical data PlottingPlot types HistogramLine plot Box-and-WhiskerNormal probability Bar graphExploring the graph Setting up the plot Plot Setup viewPareto chart Data in descendingPlot view menu items Menu items you can tap on in Plot view areAdvertising minutes Resulting sales $ Statistics 2Var appGetting started with the Statistics 2Var app Dependent, yStatistics 2Var Enter the advertising minutes data in column C1 2E1E3E5E5E4Statistics 2Var app 225 Setup plot Plot the graph Display the equation Predict values Spreadsheet.A1A10 C7 E Tap , make your change, and tap Numeric view menu itemsButtons you can tap on in Numeric view are Delete data Insert data Sort data values DescendingDefining a regression model Fit typesFor growth. You can store a Where L is the saturation valueFits the data to a logistic curve Positive real value in L, or-ifΣXY SCOVCOV Plotting statistical data SerrYTracing order Tracing a scatterTracing a curve Plotting mark Plot setupPlot view menu items ConnectPredicting values Home viewTroubleshooting a plot Open Inference appGetting started with the Inference app InferenceSymbolic view options Test μ1 μ2, the T-Test onSample mean Sample size Select the inference method Enter dataTest 1 μ from the Type menu Population standard deviation Alpha level for the testDisplay the test results Plot the test results 82.5 E 83.1 E 82.6 E 83.7 E 82.4 E 83 E Importing statisticsOpen the Statistics 1Var app Clear unwanted data Enter data Tap on the Method field and select Calculate statistics Open the Inference appSelect inference method and type Import the data Confidence IntervalResults Hypothesis testsDisplay NumericallyInputs One-Sample Z-TestMenu name Two-Sample Z-Test One-Proportion Z-Test Two-Proportion Z-Test With the test Z-value One-Sample T-TestTest Z Test statistic Test Δ pˆ Difference between This test measures the strength of the evidence for aEach sample from a different population, this test Two-Sample T-TestTest μ1 μ2 Α level that you supplied Sample 1 standard deviationSample 2 standard deviation Two-Sample Z-Interval Confidence intervalsOne-Sample Z-Interval Number of successes One-Proportion Z-IntervalInt 1π Sample success count Sample size Confidence levelConfidence interval for the difference between Two-Proportion Z-IntervalMenu name Int π1 π2 Proportions of successes in two populationsOne-Sample T-Interval Two-Sample T-IntervalResult Definition 258 Solve app Getting started with the Solve appClear the app and define the equation One equationOpen the Solve app AVjS.AU j+2AAADKph over a distance Is approximately 2.4692 m/s2 Enter known variablesSolve the unknown variable Select Auto Scale Select Both sides of En Where n is the number of the selected equationPlot the equation Matches the value of a you calculated aboveAXj+AYj S.16E AXwAYS. Q1E Several equationsOpen the Solve app Define the equations Enter a seed value Limitations Solve the unknown variablesSign Solution informationZero ReversalValue of the equation is the same at every point sampled Bad Guesses Constant?No values satisfy the selected equation or expression Open the Linear Solver app. ISelect Linear Solver appGetting started with the Linear Solver app Linear SolverDefine and solve the equations Coefficients and constants had been enteredMenu items Solve a two-by- two system270 Open the Parametric app Parametric appGetting started with the Parametric app ParametricDefine the functions 8ed? 8fd?Set the angle measure Set up the plot Plot the functions Degrees274 Tap .The table scrolls to the value you entered 276 Getting started with the Polar app Open the Polar app ISelect Polar App opens in Symbolic viewPolar app Open the Polar appDefine the expression 5πcosθ/2cosθ2 Set angle measure Set up the plot5Szf dn2 fdj Plot the expression Explore the graph 280 Polar app Sequence app Getting started with the Sequence appOpen the Sequence app ISelect App opens in Symbolic view Define the Fibonacci sequence+ E SequencePlot the sequence Select Stairstep from the Seq Plot menuDisplay Numeric view Explore the table of values Another example Explicitly-defined sequences Set up the table of valuesDefine the expression Setup the plot RQFandPlot the sequence Explore the table of sequence values Finance app Getting Started with the Finance app288 Cash flow diagrams Time value of money TVM TVM calculations Another example PMT292 Calculating amortizations To calculate amortizationsAmortization graph Finance app 295 Tapping Triangle Solver appGetting started with the Triangle Solver app Open the Triangle Solver app ISelectSpecify the known values Choosing triangle types Solve for the unknown valuesSpecial cases Triangle Solver app 299 Explorer apps Linear Explorer appGraph mode Between them by tapping orEquation mode Tap to enter Test modeQuadratic Quadratic Explorer appOpen the app ExplorerTap To see the correct answer and tap Exit Test mode Equation modeIts value. When you are ready, tap To see if you Graphs that are harder match by tapping RespectivelyTrig Explorer app Trig ExplorerCursor keys. All four keys Tap To switch toGraph by pressing Are available.Tap to see the correct answer and tap to exit Test mode Now press the cursor keys to select each parameterFunctions and commands All the functions and commands308 NORMALICDFμ,σ,p Keyboard functionsAbbreviations used in this chapter E5 returns +,w,s, nShex ALOG3 returnsEfg 2returns 1returns+2*i returns -1-2*i Math menu NumbersMaximum Maximum. The greater of two values ArithmeticExample XPON123456 returns 5 since 105.0915... equals Percentage x percent of y that is, x/100*y Example Example ARG3+3*i returns 45 degrees modeModulus Modulo. The remainder of value1/value2 Trigonometry Hyperbolic ProbabilityPERM5,2returns Normal Random real number with normal distribution Nμ,σNORMALD0.5 and NORMALD0,1,0.5 both return RANDSEEDvalueNORMALDμ,σ,x STUDENTn,xIs a real number FISHERCDFn,d,x CHISQUARECDFn,kCHISQUARECDF2,6.1 returns FISHERCDF5,5,2 returnsList Matrix SpecialCAS menu AlgebraNumera,b Syntax substExpr,Var=valuePartfracRatFrac or Opt Denoma/bLimitExpr,Var,Val,Dir1, 0 CalculusDiffExpr,var DiffExpr,var1$k1,var2$k2 CurlExpr1, Expr2, …, ExprN, Var1, Var2, …, VarN SeriesExpr,Equalvar=limitpoint,Orde r,Dir1,0,-1SumExpr,Var,Real1, Real2,Step DivergenceExpr1, Expr2, …, ExprN, Var1, Var2, …, VarNHessianExpr,LstVar GradExpr,LstVarHessian Returns the Hessian matrix of an expression IbpufVar, uVar, Var, Real1, Real2TaylorExpr,Var=Value,Order PrevalExprFvar,Reala,Realb,VarSumriemannExprXpr,Lstvar1,var2 DivpcPoly1,Poly2,IntegerSolve CsolveEq,Var CsolveEq1, Eq2,…, Var ZerosExpr,Var or zerosExpr1, Expr2,…,Var1, Var2,…Zerosx2-4 returns -2 CZerosExpr,Var CZerosExpr1, Expr2,…,Var1, Var2,…Rewrite Pow2expExpr TexpandExprExp2powExpr Exp2trigExprAcos2asinExpr Asin2atanExprSin2costanExpr Acos2atanExprAtan2acosExpr Atan2asinExprAtan2asinatan2*x returns Tan2sincosExprAtrig2lnExpr TrigcosExprTrigtanExpr TlinExprTrigInteger NextprimeInteger GcdIntgr1, Intgr2,…IsPrimeInteger PrevprimeIntegerIremIntgr1, Intgr2 PolynomialIquoIntgr1, Intgr2 Powmoda, n, p,Expr,VarFactorsPoly or factorsPoly1, Poly2,… CoeffPoly, Var, IntegerDivisPoly or divisPoly1, Poly2,… GcdPoly1,Poly2PcoefVect Symb2polyExpr,Var Symb2polyExpr, Var1, Var2,…Poly2symbVector, Var RemList1, List2, Var RemPoly1, Poly2, Var PminMtrx,VarQuoList1, List2, Var QuoPoly1, Poly2, Var FactorxnPoly ContentPoly,VarDegreePoly SturmabPoly,Var,a,bGreducePoly1, Poly2 Poly3 …, Var1 Var2… CyclotomicIntegerGbasisPoly1 Poly2…, Var1 Var2… HermiteIntegerTchebyshev1Integer LagrangeX1 X2…, Y1 Y2…LaguerreInteger Tchebyshev2IntegerPlot PlotlistX1, Y1, X2, Y2, … App menuPlotodeExpr, Var1, Var2, X0, Y0 Function app functions SOLVEEn,var,guess Solve app functionsSpreadsheet app functions SOLVEX2-X-2,X,3returns2=STAT1A25A37,h n FunctionNameinput,optional Parameters=STAT1A25A37 As in SUMB7C23Specify a block of cells, as in AVERAGB7C23 Calculates the arithmetic mean of a range of numbersFor example, AVERAGEB7B23 returns the arithmetic Finance appSet to Second column is treated as the weight of the firstColumns are multiplied to generate a data point Place column headers Place row headers SerrSTAT1A25A37,h n x σ REGRSInput range,model, configurationSTAT1A25A37 Example REGRSA25B37,2 PredYmode, x, parameters PredYPredX PredXmode, y, parametersHypZ1mean0.461368, 50, 0.5, 0.2887, 0.05 HypZ1mean x, n,μ0,σ,α,mode, configurationHypZ1mean The one-sample Z-test for a mean HypZ1propx,n,π0,α,mode HypZ1propHypZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887, 0.05 HypZ2prop HypZ1prop21, 50, 0.5, 0.05,1HypT1mean The one-sample t-test for a mean Mode Specifies which alternative hypothesis to use ≠ μ0HypT1mean x ,s,n,μ0, α,mode,configuration HypZ2prop21, 26, 50, 50, 0.05HypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode, configuration ConfZ1mean x ,n,s, C,configurationConfZ1mean0.461368, 50, 0.2887 ConfZ2mean x1, x2, n1, n2,s1,s2,C, configurationConfZ1propx,n,C,configuration ConfZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887ConfZ1prop21, 50 ConfZ2propConfT1mean ConfT1mean0.461368, 0.2776, 50 ConfT2mean x1, x2, s1,s2,n1, n2,C,pooled, configurationStatistics 1Var app functions ConfT2mean0.461368, 0.522851, 0.2776, 0.2943, 50, 50, 0SetSample Do1VStatsSetFreq Do2VStats Statistics 2Var app functionsResid SetDependDoInference Inference app functionsSetIndep HypZ1meanHypZ2mean x1, x2, n1, n2,σ1,σ2,α,mode Test π valueCritical value of π associated with the critical Z-value Test Δπ value HypT1meanOrder Critical value of the statistic associated withHypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode ConfZ1prop ConfZ1meanConfZ2mean Two proportions. Returns a list containing in order Solves for the future value of an investment or loan Finance app functionsCalcFV CalcFVNbPmt,IPYR,PV,PMTV,PPYR,CPYR,BEGCalcPMT CalcIPYRCalcNbPmt CalcPVSolve2x2 Linear Solver app functionsTriangle Solver app functions Solve3x3SASside,angle,side AASangle,angle,sideASAangle,side,angle SSAside,side,angleSolveForYIntercept Linear Explorer functionsDoSolve SOLVEa, b, c Quadratic Explorer functionsCommon app functions DELTAa, b, cUNCHECKDigit Ctlg menuFunction.CHECK1 Enter Sequence.UNCHECK2Percent of y. Returns x/100*y Example Change Percent change from x to y. Returns 100*y-x/xVar=expression List1.*List2 or Matrix1.*Matrix2List.Integer or Matrix.Integer 3,4.*3,4,5,6 gives 3,8,15,24AbcuvPolyA, PolyB, PolyC, Var A2qMatrix, Var1, Var2…A2q1,2,4,4,x,y returns x2+6*x*y+4*y2 Abcuvx2+2*x+1,x2-1,x+1 returns 1/2 -1/2Append Appends an element to a list or vector Canonicalform2*x2-12*x+1 gives 2*x-32-17 BasisMatrixCanonicalformQuadraticExpr,Var CatObject1, Object2,…ColDim Returns the number of columns of a matrix Companion Returns the companion matrix of a polynomial Complexrootx3+8, 0.01 returnsCopyVarVar1,Var2 ContainsList, Element or containsVector, ElementContains0,1,2,3,2 returns CorrelationList or correlationMatrixReturns Enters the mathematical constant e Euler’s number Eigenvals Returns the sequence of eigenvalues of a matrix Eval Evaluates an expressionEvalf2/3 gives EvalcExprEvalfExpr,Integer Even1251 returnsExpr Parses the string String into a number or expression ExprX+10 returns 100, if the variable X has the valueFMinExpr,Var FMaxExpr,VarFMax-x2+2*x+1,x gives FMinx2-2*x+1,x givesFunctiondiffsin gives x→cosx FsolveExpr,Var,Guess or Interval,MethodFunctiondiffFnc GaussExpr,VectVarHalftanhyp2expsinx+sinhx returns GramschmidtVector, FunctionHalftanhyp2expExprTrig HamdistInteger1, Integer2Head1,2,3 gives IcontentPoly,VarIcontent24x3+6x2-12x+18 gives HeavisideRealInterval2center Returns the center of an interval Inv Returns the inverse of an expression or matrixIPartReal or iPartList JacobisymbolInteger1, Integer2Jacobisymbol132,5 gives IPart4.3 returnsLin Returns an expression with the exponentials linearized Lname Returns a list of the variables in an expression Logb Returns the logarithm of base b of aLvar Returns a list of variables used in an expression Mat2list Returns a list containing the elements of a matrixMedianList1, List2 or medianMatrix MeanList1, List2 or meanMatrixMean1,2,3,1,2,3 gives 7/3 Median1,2,3,5,10,4 givesMRowExpr, Matrix, Integer ModgcdPoly1,Poly2Modgcdx4-1,x-12 gives MultcconjugateExprNormal2*x*2 gives 4*x NDerivfx,x,h returns fx+h-fx-h*0.5/hNormalExpr NormalizeVector or normalizeComplexPI Inserts π PIECEWISE⎪PlotpolarExpr,Var=Interval PlotparamfVar+i*gVar, Var= IntervalPlotparamcost+i*sint, t=0..2*π plots the unit circle Plotpolarπ/2x, x=-π..π plots a partial spiralPOLYCOEFVector or POLYCOEFList PoleCrcle,LinePolecircle0, 1, line1+i, 2 returns point1/2,1/2 POLYCOEF-1, 1 returns 1, 0Polynomialregression1, 2, 3, 4, 1, 4, 9, 16,3 returns 0 1 0 PolygonscatterplotMatrixPolynomialregressionList1, List2, Integer POLYROOTPoly or POLYROOTVectorPowerpccircle0,1+i,3+i gives PowerregressionList1, List2Powerregression1, 2, 3, 4, 1, 4, 9, 16 returns 2 Prepend1,2,3 gives 3,1,2Purge Unassigns a variable name Quote Returns an expression unevaluated ⎠ returns RemoveElement, Vector or removeElement, List Reducedconicx2+2*x-2*y+1 returnsRefMatrix Remove6,1 2 6 7 returns 1 2Residue Returns the residue of an expression at a value Restart Purges all the variablesRowDim Returns the number of rows of a matrix Example GivesSignature Returns the signature of a permutation Sqrt Returns the square root of an expression Sto Stores a real or string in a variable Sylvester Returns the Sylvester matrix of two polynomials Transpose Returns a matrix transposed without conjugationType Returns the type of an expression e.g. list, string When Used to introduce a conditional statement Returns the square of an expressionExpr Creating your own functionsInserts the imaginary number Function field, enter the function. eAA+fABAC Variables Result is written to history Multiply a by Working with Home variablesAaE Example 3 You can also store objects in variables Working with user variables Working with app variablesAAxotwAS. Sq1o2 o3 E More about the Vars menu Qualifying variables Home variables are accessed by pressing aand Tapping Home variablesNumStart NumType NumStep NumZoom NumIndep App variablesFunction app variables AAngle ADigits AComplex AFormatGeometry app variables Results variablesSolve app variables Category Names Symbolic PlotSpreadsheet app variables ColWidth RowHeightNumYStart NumType NumXStep NumXZoom NumYStep NumYZoom Advanced Graphing app variablesNumXStart Statistics 1Var app variables MedVal NbItemMinVal MaxValStatistics 2Var app variables SCov CorrCoefDet ΣCovContains the sum of the dependent values Y Inference app variablesSerrY CritVal2 CritScoreCritVal1 ProbParametric app variables NumStart NumType NumStep NumZoomΘmin Recenter Polar app variablesFinance app variables NumIndep NumType NumStart NumZoom NumStepLinear Explorer app variables Linear Solver app variablesTriangle Solver app variables Quadratic Explorer app variablesCategory Names Modes Trig Explorer app variablesSequence app variables Unit categories Units and constantsUnits Length AccelerationUnits menu includes an entry that is not a unit Unit calculationsPrefixes Palette of prefixes+5 SF Unit tools MKSA8.175cm/s returns .08175m*s-1USIMPLIFY5kg*m2/s2 returns 5J Physical constantsUFACTOR100C,1A returns 100A*s Value or measurement? List of constants Avogadro, NA450 Lists Create a list in the List Catalog= or \ Keys List EditorList Editor Buttons =or \A list To edit a listTo insert an element To delete a list Deleting listsLists in Home view To createa listTo display a list To store a listAj7 To display oneData on page 44 for instructions List functionsTo send a list 2,3 returns 5,10,15Menu format Make ListSort AajoReverse Concatenate Position Size Aj5E Aj5 EAj1 Finding statistical values for listsAj1E Ad1EBeginning on page 211, for the meaning of each statistic Matrices MatricesVectors Creating and storing matrices POLYROOT1,0,-1,0M1Matrix Editor Working with matricesEditor To create a matrix in the Matrix Editor To store a matrix Matrices in HomeView To display a matrix To send a matrix Matrix arithmeticR1o2 Matrixnamerow,columnTo multiply E3 EHAQ1 + Divide by a scalarAQ1kQ AQ1sAAQ1k5 Solving systems of linear equations Q1 n AQ24EQ1 1E1E Q1E2E3E Tap in cell R1, C3 E Sns AQ1E Matrix functions and commandsCommands TRN matrix Matrix functionsArgument conventions TRN ⎜3,2,3,4 Rref matrixRref IDENMATsizeHilbertn JordanBlockExpr,n0 JordanBlock7,3 returns 0 7 1 0 0 Cos1 -sin1sin1 cos1Rownorm ⎜ Cond Specnorm ⎜Specrad ⎜ RankEigenvv matrix EIGENVALmatrix37228… -0.37228… EigenvvCholesky ⎜ CholeskymatrixExample CAS view IhermiteMtrxAIsmithMtrxA HessenbergMtrxA278 Ismith ⎜P*A=L*U LSQmatrix1, matrix2LSQ LUmatrixExample Schur ⎛⎜ 1 2 ⎞⎟ returns QRmatrix A,var1,var2SCHURmatrix SVD ⎝DOT 1 2 , 3 4 returns 4649… 0.3659…Cross 1 2 , 3 4 returns L2normVectMaxnorm 1 2 3 -4 returns ExamplesMaxnormVect or Mtrx + y z = 5 2x y = 2y + z = 488 Editing Features. See belowOpens the selected note for Begins a new note,Open the Note Catalog To create a note from the Notes CatalogRename renames the selected note To create a note for an app Keys Are adding or editing a noteMake the next character upper-case With lowercase locked, make next character uppercaseText formatting Expressions InsertingMathematical Sharing notes Pixon xposition, yposition HP Prime Programs Command StructureProgramming in HP PPL Pixon xposition, yposition ,colorExport Myprogam Begin Program CatalogProgram Structure Comments ENDOpen Program Catalog Program Catalog buttons and keys=or S\ Creating a new program MyprogramStrings Drawing Matrix App Functions Integer More Or S=and Checks the current program for errorsProgram Editor Press Jto return to the main menu Begin and END For N from 1 to 3 do Run a Program Tap Myprogram to expand the menu and select MyprogramPrograms Debug a ProgramMulti-function ParametersProgram Catalog, select Edit a program Copy a program or part of a program 510 Variables and visibility HP Prime programming languageTo share a program Export Radius Export Getradius Begin Inputradius END Programming in HP PPL 513 Export Rolldien Program RolldieProgram Return 1+RANDINTN-1ROLLDIEn L2roll+1 L2rollRolldie Return 1+RANDINTn-1 ENDBegin Return 1+RANDINTN-1 END User modeUser Keyboard Customizing key presses Re-assigning keys Key names Internal name of keys and key statesKDiv App programs KAMathStarts an app Using dedicated program functions Redefining the View menuResets or Initializes an app View text, functionCustomizing an app Tap Enter a name for the new app such as DiceSimulationBegin END Dicesimvars RolldieExport SIDES,ROLLS Export DiceSimulation View Roll Dice,ROLLMANYSIDES= Floorsides If SIDES2 then SidesBegin Repeat Until Sides =4 STARTVIEW7,1 ENDExport ROLLS,SIDES Export Dicesimvars Begin STARTVIEW1,1 ENDSTARTVIEW0,1 END Sides ENDProgram commands Roll DiceBranch Commands under the Tmplt menu BlockBegin END Syntax Begin command1 command2… commandN END Export SQM1X Begin Return ENDCase Default commands ENDLoop MAXFACTORS100 Export Maxfactorsn BeginMSGBOXMax of + max + factors for +result Export Drawpattern BeginExport ISPERFECTn RectEND Wait Export Sides Export Getsides Begin Repeat +1 d END Return sum==n ENDExport Perfectnums Begin INPUTSIDES,Die Sides,N = ,Enter num sides,2Export Syntax Export var1, var2, …, varn VariableFunction Syntax Export FunctionNameCommands under the Cmds menu Strings Char Syntax CHARvector or CHARintegerString StringF1, when F1X Cosx = Cosx666666666667 INSTRINGvanilla,van returns Instring banana,na returnsDrawing Ymax Pixels and Cartesian Grobh Syntax Grobhg Getpix Syntax GETPIXG, x, yGETPIXPG, x, y GrobhpgPIXOFFPG, x, y GrobwpgINVERTPG, x1, y1, x2, y2 Pixon Syntax PIXONG, x, y ,color PIXONPG, x, y ,colorExport BOX Begin Rect RECTP40,90,#0 Wait ENDTextoutppi APPROX=,0,30 Repeat Export Piseries BeginLocal sign K=2 A=4 sign=−1 Rect TEXTOUTPN=,0,0 +sign*4/2*K-1 aAddcol Syntax ADDCOLmatrixname, vector, columnnumber Sign*-1 sign K+1 KUntil END Addrow Syntax ADDROWmatrixname, vector, rownumberScaleadd Syntax Scaleadd name, value, row1, row2 Replace Syntax REPLACEname, start, objectScale Syntax SCALEname, value, rownumber SUB Syntax SUB name, start, endApp Functions Commands Bitand Syntax BITANDint1, int2, … intnGetbase Syntax GETBASE#integerm Bitsl Syntax BITSLint1 ,int2→R Syntax B→R#integerm Setbits Syntax SETBITS#integerm ,bits Getbits Syntax GETBITS#integerExample GETBITS#22122 returns #20h or →B Syntax R→Binteger Choose Syntax CHOOSEvar, title, item1, item2,…,itemnEditmat Syntax EDITMATmatrixvar Taps Example EDITMATM1 edits matrix M1 Getkey Syntax GetkeyBegin INPUTSIDES,D ie Sides,N = ,Enter num sides,2 END Input Syntax INPUTvar ,title, label, help, resetExport Sides Export Getsides Msgbox Syntax MSGBOXexpression or string ,okcancel? Export Areacalc BeginProgramming in HP PPL 553 CAS Syntax CAS.function or CAS.variable Executes the function or returns the variable usingMore Execon Syntax EXECON&expr, List1, list2,…EXECON&23+&1,1,5,16,4,5,6,7 returns 7,12 Example →HMS54.8763 returns 5452′34.68″Example ITERATEX2, X, 2, 3 returns Variables and Programs Programming in HP PPL 557 Axes App variablesPlot view variables CursorHwidth GridLinesHmin/Hmax LabelsSeqPlot Nmin/NmaxRecenter S1mark-S5mark Θmin/θmaxXtick Ytick Xmin/Xmax Θstep Polar Tmin/TmaxTstep Xzoom Symbolic view variablesYmin/Ymax YzoomH1Type...H5Type F0...F9H1...H5 S1Type...S5Type R0...R9S1...S5 U0...U9 TypeX0, Y0...X9,Y9 D0...D9 Numeric view variablesC0...C9 NumIndep NumYStep where n  NumStep where n NumXStep where n  NumType-forAutomatic default  NumType-forBuildYourOwnInference app variables  NumXZoom where n NumYZoom where n Alpha Conf Mean1 Mean1Mean2  Mean2 Pooled-for pooled  Pooled-for not pooled defaultPooled Difference of two means or two proportions, setsCPYR Finance appVariables NbPmt NbPmtIPYR PMTVSolver app Linear Solver app variablesTriangle AngleB SideCAngleA AngleCSettings HomeTime HComplexDate LanguageBits EntryBase SignedAAngle SymbolicSetup AComplexAFormat  AFormat580 Basic integer arithmetic Default base Changing the default base Binary, Octal, Decimal or HexExamples of integer arithmetic Mixed-base arithmeticInteger manipulation Base functions These are described in Integer, beginning onGlossary Catalog Vector One-dimensional array of real or Matrix Two-dimensional array of real orRecord using the Program Editor Symbolic, and Symbolic Setup590 Calculator not responding TroubleshootingTo reset If the calculator does not turn onOperating limits Status messagesProper syntax Correct. Look up the functionName in the index to find its Apps, matrices, lists, notes, or594 Modifications Product regulatory informationFederal Communications Commission notice Cables596 European Union Regulatory Notice 598 Parliament and the Council. a chemical information ChemicalSubstances 600 Index 370-371 Menu 324-347 settings 30, 55 viewCAS 54 Functions 118-122, 348 variables 366-369 299-301 606 Zoom 88-94 points Polar app 70, 277-280 variables Samples 514-516, 524-527 structureSolve app 70, 259-266 functions 349 limitations 264 messages 215App 109, 558-579 CAS Types of 89-90