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HP Prime Graphing NW280AAABA manual Getting started with the Linear Solver app

Models: Prime Graphing NW280AAABA

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Linear Solver app

The Linear Solver app enables you to solve a set of linear equations. The set can contain two or three linear equations.

In a two-equation set, each equation must be in the form ax + by = k . In a three-equation set, each equation must be in the form ax + by + cz = k .

You provide values for a, b, and k (and c in three-equation sets) for each equation, and the app will attempt to solve for x and y (and z in three-equation sets).

The HP Prime will alert you if no solution can be found, or if there is an infinite number of solutions.

Getting started with the Linear Solver app

The following example defines the following set of equations and then solves for the unknown variables:

Open the Linear Solver app

6x + 9y + 6z = 5

7x + 10y + 8z = 10 6x + 4y = 6

1.Open the Linear Solver app. ISelect

Linear Solver

The app opens in Numeric view.

Linear Solver app

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HP Prime Graphing NW280AAABA manual Getting started with the Linear Solver app, Open the Linear Solver app. ISelect

Contents

User Guide HP Prime Graphing CalculatorProduct Regulatory & Environment Information Edition1 Part Number NW280-2001 Legal NoticesEdition Printing HistoryJuly Page Contents Plot view Application Library App views Symbolic viewCommon operations in Plot view Zoom Trace Function app Computed statistics 233Getting started with the Polar app 277 Getting started with the Parametric app 271Variables Lists Status messages Basic integer arithmeticManual conventions PrefaceFunction, Polar, Parametric, Ans, etc Before starting Getting startedOn/off, cancel operations Display Sections of the display You are working in CAS view, not Be entered in uppercase when aUppercase when a key is pressed Lowercase when a key is pressedNavigation Touch gestures Keyboard Context-sensitive menu Primary entry and edit keys are Entry and edit keysCharacters Minute, or second symbol accordComparison operators and Bool Ean operatorsShift keys Adding text Math template Math keysMath shortcuts Original decimal representation Fractions Hexagesimal numbers236…. Press conce to see 219602 and again to see Pressing ca third time will cycle back toReturn home H Enter 4BQ13 s6B23n 3BQ5 EEX key powersTo select from a menu MenusToolbox menus Input formsAlternatively, select the field and tap Home settings System-wide settingsBecomes 1.23E9 in Engineer Becomes 123.46Fixed 2 format 23E2 in ScientificOr a+b*i Or in common mathematical Commands on the Math and CASShorthand. The default is to provide Menus are presented descriptivelyMM/DD/YYYY YYYY/MM/DD, DD/MM/YYYY, orPress SH Settings to open Specifying a Home settingChoosing an entry type Where to startAlways one-dimensional Mathematical calculationsTextbook Examples that follow assume that the entry mode isEntering expressions RPN Reverse Polish Notation. Not available in CAS viewR23jw14S j8nQ3 h45E Example ParenthesesSj85s9 Negative numbersAlgebraic precedence E45+SzExplicit and implied multiplication Large results Reusing previous expressions and resultsTo reuse the last Using the clipboardResult Sj2E Storing a value in a variableSjS+E Szj AQAcE Szj AaEExample To assign π2 to to the variable a Sharing data Complex numbersR2o3 Ay6E HP Prime to another When is tappedOnline Help RPN Reverse Polish Notation Reverse Polish Notation RPNRPN is available in Home view, but not in CAS view History in RPN mode SzX3 Re-usingSample calculations ResultsReverse Polish Notation RPN Swap Manipulating the stackStack Show an item Delete an item Delete all items CAS view Computer algebra system CASMenu buttons in CAS view are Assigns an object to a variable CAS calculations5Asjw6 Settings2Asj+3 Asw2Standard or Scientific or Engineering Ments Radians or DegreesRecursive Replacement Tion above See also Recursive EvaluaComputer algebra system CAS Computer algebra system CAS Exam Mode Press O+ A+ c Modifying the default configurationPress SH. The Home Settings screen appears Tap Don’t want disabled are not selectedBefore, the only base configuration will be Default Exam Creating a new configurationActivating Exam Mode Tap If a configuration other than Default To activate exam modeCancelling exam mode Modifying configurationsTo change a configuration Deleting configurations To return to the default configurationTap Exam Mode screen appears Exam Mode An introduction to HP apps Equations Linear SolverSolve Explore equations in one or more real Application Library To delete an app Other options Test Symbolic viewApp views Confidence level, and select a typeSymbolic Setup view Plot view Symbolic viewSolve Plot Setup view Numeric view Test selected in Symbolic viewAdvanced View a table of numbers generated by Graphing Symbolic view, and set the zoom factor Numeric Setup viewAdvanced Specify the numbers to be calculated Graphing N2f Quick exampleOpen the app 4Szf n2f jEPress SP Set the second θRNG field to 4π by entering Press PPress Pto return to Plot view and see the complete plot Θ column to be 1. You set this up in the Numeric Setup view Common operations in Symbolic viewNumeric View Modify a definition Add a definitionDefinitional building blocks From Home variables X2+X+ 2 *X2 Evaluate a dependent definitionSelect or deselect a definition to explore F9X=X2+Statistics2Var.PredY6Delete a definition Choose a color for plotsSymbolic view Summary of menu buttons Press SYto open Symbolic Setup view Common operations in Symbolic Setup viewOverride system-wide settings Restore default settingsZoom Common operations in Plot viewZoom factors Zoom options Shortcut press w By the X Zoom and Y Zoom settingsZoom setting Center onApps, autoscaling rescales both axes Given the supplied x axis settings. ForGraph with the original plot settings Shows a representative piece of the plotViewing Testing aZoom with Split-screenOut Shown, tapInteger SquareAutoscale DecimalTrig TraceTo evaluate a definition To turn tracing on or off Configure Plot view Common operations in Plot Setup viewPlot view Summary of menu buttons Stats 1 Var only Parametric OnlyPolar only Sequence OnlySets the initial range of the y-axis. Note Sets the initial range of the x-axis. NoteThat here are two fields one for Panning and zoomingGraphing methods Common operations in Numeric view Restore default settingsZoom options Zoom keys Zoom menu Evaluating Deleting data Custom tablesStart typing a new value Only visible if Numtype is set to Numeric view Summary of menu buttonsSelect Ascending or Descending , Modifying Numeric Setup Common operations in Numeric Setup viewAdding a note to an app Combining Plot and Numeric ViewsCreating an app Fibonacci in this example Asjw5 App functions and variablesSelect Statistics 1Var results MeanX Tap This opens a menu of app variablesGetting started with the Function app Function appFunction Open the Function app Define the expressionsRdw1 jw3E Open the Function app ISelectSet up the plot Plot the functions Trace a graph Change the scale Display the Numeric Setup view SMSetup Display Numeric view Set up Numeric viewSubstituted the values in the X column for x Press SJClear to reset all the settings to their defaultsExplore Numeric view To navigate around a tableTo go directly to a value To access the zoomOptions =or\ Analyzing functionsDisplay the Plot view menu To find a root of the quadratic functionIntersection To find anIntersection of two FunctionsTo find the slope of the quadratic function To find the signed area between the two functions Quadratic Function VariablesTo find ExtremumFunction Select Results and then the variable of interest Tap and selectNamed Extremum Summary of FCN operationsSlope Advanced Graphing app Getting started with the Advanced Graphing app ISelect Advanced Graphing Open the app Define the open sentenceJn2 + n5128 Advanced Graphing app Advanced Graphing app 129 Edge You can move in any direction withinRegion. Use this option for Inequalities, for exampleNumeric view Display the Numeric view Explore Numeric view Trace in Numeric view Numeric SetupSj3n2 Trace EdgeTrace PoI Exploring a plot from the Plot Gallery Plot GalleryGetting started with the Geometry app GeometryPlot Function 3seASsEWith plotfunc on the entry line, enter 3*sinx More Tangent Derivative point Create aAbscissaGB,slopeGC Add some calculations140 Derivative changes by looking at a plot of it rather than Plot view in detailDerivative Point D is the point whose ordinate value matches142 Moving objects Selecting anObject Hiding namesUndoing Coloring objectsFilling objects Removing fillMoving about Clearing anClearing all ObjectsPlot view buttons and keys Key Result in Plot view Symbolic view in detail Tap either To move it down the list or Move it up Re-orderingEntries Hiding an objectTap Or press C To delete all objects, press SJ Can delete an object in Symbolic viewNumeric view in detail Deleting anEnter radiusGC Listing all152 Points Geometric objectsMore Element 0 . . Notice Line Ngon PolygonSpecial CurveThus enclosing the triangle Circumcircle is the circleThat passes through each Triangle’s three verticesSpecial Locus places Geometric transformations Given scale factor around a given point as center Tap Select ReflectionAxis and press E. The object is reflected across Symmetry axis defined in stepGK,angleGK,GL,GM Select Transform Rotation164 Barycenter Geometry functions and commandsSymbolic view Cmds menu PointInter CenterDivisionpoint ElementPoint IsobarycenterMidpoint OrthocenterDrawSlp Point2dStop trace Erase traceLine BisectorExbisector HalflineMedianlinepoint1, point2, point3 MedianlineParallel PerpenbisectorDraws a segment defined by its endpoints PerpendicularSegment TangentEquilateral triangle0,6, v draws an equilateral EquilateraltriangleHexagon Equilateral triangle0,6 draws an equilateralIsoscelestriangleGA, GB, angleGC, GA, GB IsoscelestriangleIsopolygon ParallelogramRhombus PolygonQuadrilateral RectangleSquare RighttriangleTriangle CircumcircleGA, GB, GC draws the circle CircleCircumcircle ConicExcirclepoint1, point2, point3 EllipseExcircle HyperbolaParabola TransformIncircle LocusDraws the orthogonal projection of a point onto a curve InversionProjection ReflectionRotateGA, angleGB, GC, GD,GK rotates RotationSimilarity TranslationMeasure Plot Measure Numeric view Cmds menuArea AffixAngle ArcLenArea4-x2/4, x=-4..4 returns 14.666… CoordinatesDistance Distance2Parameq EquationExtractmeasure OrdinateIsconcyclic TestRadius IscollinearIsorthogonal IselementIsequilateral IsisocelesIsrectangle IsparallelIsparallelogram IsperpendicularHarmonicconjugate Other Geometry functionsIssquare ConvexhullIsrhombus IsharmonicIsharmoniccirclebundle IsharmoniclinebundlePolar LineHorzLineVert OpenpolygonReciprocation PowerpcPole RadicalaxisVerticesabca SingleinterVector Vertices194 Getting started with the Spreadsheet app SpreadsheetTo open the Spreadsheet app, press Iand select Spreadsheet 196 Select cell C5 Select cell D1 Enter a formula to add up your takingsSelect cell C3 Enter a label for your total commission Select the heading cell for column C, tap and selectEnter a label for your fixed costs AncostseNavigation, selection and gestures Basic operationsCell naming Cell referencesMethod Enter Cost and tap Entering contentCOST*0.33 and tap Enter Statistics1Var.D1 Select Polynomial Find Roots External functionsFormat, both value and format, or both formula and format External referencesCopy and paste To copy one or more cells, select them and press SVCopyReferencing variables = Row2-√Row-1. The only Using the CAS in spreadsheet calculationsChanges to Buttons and keysHandled by the CAS, but only Evaluates it Line is activeFormatting options appear Formatting optionsFont Size Auto or from 10 to 22 point Format Parameters Spreadsheet functions Getting started with the Statistics 1Var app Statistics 1Var appStatistics 1Var Sample data in D1 Enters D directly to save you having to press two keys Symbolic view menu itemsMenu items you can tap on in Symbolic view are Editing. Tap when done214 Entering and editing statistical data Configure a histogram plot for the data SetupMenu items you can tap on in Numeric view are Edit a data set1Var app open, return to Home view and enter Spreadsheet.A1A10 D7 EDelete data Insert data Generating data Sort data values Computed statistics Histogram PlottingPlot types To plot statistical dataBar graph Box-and-WhiskerNormal probability Line plotData in descending Setting up the plot Plot Setup viewPareto chart Exploring the graphMenu items you can tap on in Plot view are Plot view menu itemsDependent, y Statistics 2Var appGetting started with the Statistics 2Var app Advertising minutes Resulting sales $Enter the advertising minutes data in column C1 2E1E3E5E5E4 Statistics 2VarStatistics 2Var app 225 Setup plot Plot the graph Display the equation Predict values Spreadsheet.A1A10 C7 E Buttons you can tap on in Numeric view are Numeric view menu itemsTap , make your change, and tap Descending Delete data Insert data Sort data valuesFit types Defining a regression modelPositive real value in L, or-if Where L is the saturation valueFits the data to a logistic curve For growth. You can store aCOV SCOVΣXY SerrY Plotting statistical dataTracing a curve Tracing a scatterTracing order Connect Plot setupPlot view menu items Plotting markHome view Predicting valuesTroubleshooting a plot Inference Inference appGetting started with the Inference app OpenTest μ1 μ2, the T-Test on Symbolic view optionsPopulation standard deviation Alpha level for the test Select the inference method Enter dataTest 1 μ from the Type menu Sample mean Sample sizeDisplay the test results Plot the test results Open the Statistics 1Var app Clear unwanted data Enter data Importing statistics82.5 E 83.1 E 82.6 E 83.7 E 82.4 E 83 E Confidence Interval Calculate statistics Open the Inference appSelect inference method and type Import the data Tap on the Method field and selectNumerically Hypothesis testsDisplay ResultsMenu name One-Sample Z-TestInputs Two-Sample Z-Test One-Proportion Z-Test Two-Proportion Z-Test This test measures the strength of the evidence for a One-Sample T-TestTest Z Test statistic Test Δ pˆ Difference between With the test Z-valueTest μ1 μ2 Two-Sample T-TestEach sample from a different population, this test Sample 2 standard deviation Sample 1 standard deviationΑ level that you supplied One-Sample Z-Interval Confidence intervalsTwo-Sample Z-Interval Sample success count Sample size Confidence level One-Proportion Z-IntervalInt 1π Number of successesProportions of successes in two populations Two-Proportion Z-IntervalMenu name Int π1 π2 Confidence interval for the difference betweenTwo-Sample T-Interval One-Sample T-IntervalResult Definition 258 Getting started with the Solve app Solve appAVjS.AU j+2AAAD One equationOpen the Solve app Clear the app and define the equationSolve the unknown variable Enter known variablesKph over a distance Is approximately 2.4692 m/s2 Matches the value of a you calculated above Where n is the number of the selected equationPlot the equation Select Auto Scale Select Both sides of EnOpen the Solve app Define the equations Enter a seed value Several equationsAXj+AYj S.16E AXwAYS. Q1E Solve the unknown variables LimitationsReversal Solution informationZero SignNo values satisfy the selected equation or expression Bad Guesses Constant?Value of the equation is the same at every point sampled Linear Solver Linear Solver appGetting started with the Linear Solver app Open the Linear Solver app. ISelectCoefficients and constants had been entered Define and solve the equationsSolve a two-by- two system Menu items270 Parametric Parametric appGetting started with the Parametric app Open the Parametric app8ed? 8fd? Define the functionsDegrees Set the angle measure Set up the plot Plot the functions274 Tap .The table scrolls to the value you entered 276 Open the Polar app Open the Polar app ISelect Polar App opens in Symbolic viewPolar app Getting started with the Polar app5Szf dn2 fdj Set angle measure Set up the plotDefine the expression 5πcosθ/2cosθ2 Plot the expression Explore the graph 280 Polar app Getting started with the Sequence app Sequence appSequence App opens in Symbolic view Define the Fibonacci sequence+ E Open the Sequence app ISelectSelect Stairstep from the Seq Plot menu Plot the sequenceDisplay Numeric view Explore the table of values RQFand Set up the table of valuesDefine the expression Setup the plot Another example Explicitly-defined sequencesPlot the sequence Explore the table of sequence values Getting Started with the Finance app Finance app288 Cash flow diagrams Time value of money TVM PMT TVM calculations Another example292 To calculate amortizations Calculating amortizationsAmortization graph Finance app 295 Open the Triangle Solver app ISelect Triangle Solver appGetting started with the Triangle Solver app TappingSpecify the known values Solve for the unknown values Choosing triangle typesSpecial cases Triangle Solver app 299 Linear Explorer app Explorer appsBetween them by tapping or Graph modeTest mode Equation mode Tap to enterExplorer Quadratic Explorer appOpen the app QuadraticGraphs that are harder match by tapping Respectively Equation modeIts value. When you are ready, tap To see if you Tap To see the correct answer and tap Exit Test modeTrig Explorer Trig Explorer appAre available. Tap To switch toGraph by pressing Cursor keys. All four keysNow press the cursor keys to select each parameter Tap to see the correct answer and tap to exit Test modeAll the functions and commands Functions and commands308 Abbreviations used in this chapter Keyboard functionsNORMALICDFμ,σ,p ALOG3 returns +,w,s, nShex E5 returnsEfg +2*i returns -1-2*i 1returns2returns Numbers Math menuExample XPON123456 returns 5 since 105.0915... equals ArithmeticMaximum Maximum. The greater of two values Modulus Modulo. The remainder of value1/value2 Example ARG3+3*i returns 45 degrees modePercentage x percent of y that is, x/100*y Example Trigonometry Probability HyperbolicNormal Random real number with normal distribution Nμ,σ PERM5,2returnsSTUDENTn,x RANDSEEDvalueNORMALDμ,σ,x NORMALD0.5 and NORMALD0,1,0.5 both returnIs a real number FISHERCDF5,5,2 returns CHISQUARECDFn,kCHISQUARECDF2,6.1 returns FISHERCDFn,d,xList Special MatrixAlgebra CAS menuDenoma/b Syntax substExpr,Var=valuePartfracRatFrac or Opt Numera,bDiffExpr,var DiffExpr,var1$k1,var2$k2 CalculusLimitExpr,Var,Val,Dir1, 0 DivergenceExpr1, Expr2, …, ExprN, Var1, Var2, …, VarN SeriesExpr,Equalvar=limitpoint,Orde r,Dir1,0,-1SumExpr,Var,Real1, Real2,Step CurlExpr1, Expr2, …, ExprN, Var1, Var2, …, VarNIbpufVar, uVar, Var, Real1, Real2 GradExpr,LstVarHessian Returns the Hessian matrix of an expression HessianExpr,LstVarDivpcPoly1,Poly2,Integer PrevalExprFvar,Reala,Realb,VarSumriemannExprXpr,Lstvar1,var2 TaylorExpr,Var=Value,OrderSolve CZerosExpr,Var CZerosExpr1, Expr2,…,Var1, Var2,… ZerosExpr,Var or zerosExpr1, Expr2,…,Var1, Var2,…Zerosx2-4 returns -2 CsolveEq,Var CsolveEq1, Eq2,…, VarRewrite Exp2trigExpr TexpandExprExp2powExpr Pow2expExprAcos2atanExpr Asin2atanExprSin2costanExpr Acos2asinExprTan2sincosExpr Atan2asinExprAtan2asinatan2*x returns Atan2acosExprTlinExprTrig TrigcosExprTrigtanExpr Atrig2lnExprInteger PrevprimeInteger GcdIntgr1, Intgr2,…IsPrimeInteger NextprimeIntegerPowmoda, n, p,Expr,Var PolynomialIquoIntgr1, Intgr2 IremIntgr1, Intgr2GcdPoly1,Poly2 CoeffPoly, Var, IntegerDivisPoly or divisPoly1, Poly2,… FactorsPoly or factorsPoly1, Poly2,…Poly2symbVector, Var Symb2polyExpr,Var Symb2polyExpr, Var1, Var2,…PcoefVect QuoList1, List2, Var QuoPoly1, Poly2, Var PminMtrx,VarRemList1, List2, Var RemPoly1, Poly2, Var SturmabPoly,Var,a,b ContentPoly,VarDegreePoly FactorxnPolyHermiteInteger CyclotomicIntegerGbasisPoly1 Poly2…, Var1 Var2… GreducePoly1, Poly2 Poly3 …, Var1 Var2…Tchebyshev2Integer LagrangeX1 X2…, Y1 Y2…LaguerreInteger Tchebyshev1IntegerPlot PlotodeExpr, Var1, Var2, X0, Y0 App menuPlotlistX1, Y1, X2, Y2, … Function app functions SOLVEX2-X-2,X,3returns2 Solve app functionsSpreadsheet app functions SOLVEEn,var,guessAs in SUMB7C23 FunctionNameinput,optional Parameters=STAT1A25A37 =STAT1A25A37,h nFinance app Calculates the arithmetic mean of a range of numbersFor example, AVERAGEB7B23 returns the arithmetic Specify a block of cells, as in AVERAGB7C23Place column headers Place row headers Serr Second column is treated as the weight of the firstColumns are multiplied to generate a data point Set toSTAT1A25A37 REGRSInput range,model, configurationSTAT1A25A37,h n x σ Example REGRSA25B37,2 PredXmode, y, parameters PredYPredX PredYmode, x, parametersHypZ1mean The one-sample Z-test for a mean HypZ1mean x, n,μ0,σ,α,mode, configurationHypZ1mean0.461368, 50, 0.5, 0.2887, 0.05 HypZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887, 0.05 HypZ1propHypZ1propx,n,π0,α,mode HypZ1prop21, 50, 0.5, 0.05,1 HypZ2propHypZ2prop21, 26, 50, 50, 0.05 Mode Specifies which alternative hypothesis to use ≠ μ0HypT1mean x ,s,n,μ0, α,mode,configuration HypT1mean The one-sample t-test for a meanConfZ1mean x ,n,s, C,configuration HypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode, configurationConfZ2mean0.461368, 0.522851, 50, 50, 0.2887, 0.2887 ConfZ2mean x1, x2, n1, n2,s1,s2,C, configurationConfZ1propx,n,C,configuration ConfZ1mean0.461368, 50, 0.2887ConfT1mean ConfZ2propConfZ1prop21, 50 ConfT2mean0.461368, 0.522851, 0.2776, 0.2943, 50, 50, 0 ConfT2mean x1, x2, s1,s2,n1, n2,C,pooled, configurationStatistics 1Var app functions ConfT1mean0.461368, 0.2776, 50SetFreq Do1VStatsSetSample SetDepend Statistics 2Var app functionsResid Do2VStatsHypZ1mean Inference app functionsSetIndep DoInferenceCritical value of π associated with the critical Z-value Test π valueHypZ2mean x1, x2, n1, n2,σ1,σ2,α,mode Critical value of the statistic associated with HypT1meanOrder Test Δπ valueHypT2meanx1,x2,s1,s2, n1,n2, α,pooled,mode ConfZ2mean ConfZ1meanConfZ1prop Two proportions. Returns a list containing in order CalcFVNbPmt,IPYR,PV,PMTV,PPYR,CPYR,BEG Finance app functionsCalcFV Solves for the future value of an investment or loanCalcPV CalcIPYRCalcNbPmt CalcPMTSolve3x3 Linear Solver app functionsTriangle Solver app functions Solve2x2SSAside,side,angle AASangle,angle,sideASAangle,side,angle SASside,angle,sideDoSolve Linear Explorer functionsSolveForYIntercept DELTAa, b, c Quadratic Explorer functionsCommon app functions SOLVEa, b, cEnter Sequence.UNCHECK2 Ctlg menuFunction.CHECK1 UNCHECKDigitChange Percent change from x to y. Returns 100*y-x/x Percent of y. Returns x/100*y Example3,4.*3,4,5,6 gives 3,8,15,24 List1.*List2 or Matrix1.*Matrix2List.Integer or Matrix.Integer Var=expressionAbcuvx2+2*x+1,x2-1,x+1 returns 1/2 -1/2 A2qMatrix, Var1, Var2…A2q1,2,4,4,x,y returns x2+6*x*y+4*y2 AbcuvPolyA, PolyB, PolyC, VarAppend Appends an element to a list or vector CatObject1, Object2,… BasisMatrixCanonicalformQuadraticExpr,Var Canonicalform2*x2-12*x+1 gives 2*x-32-17ColDim Returns the number of columns of a matrix Complexrootx3+8, 0.01 returns Companion Returns the companion matrix of a polynomialCorrelationList or correlationMatrix ContainsList, Element or containsVector, ElementContains0,1,2,3,2 returns CopyVarVar1,Var2Returns Enters the mathematical constant e Euler’s number Eval Evaluates an expression Eigenvals Returns the sequence of eigenvalues of a matrixEven1251 returns EvalcExprEvalfExpr,Integer Evalf2/3 givesExprX+10 returns 100, if the variable X has the value Expr Parses the string String into a number or expressionFMinx2-2*x+1,x gives FMaxExpr,VarFMax-x2+2*x+1,x gives FMinExpr,VarGaussExpr,VectVar FsolveExpr,Var,Guess or Interval,MethodFunctiondiffFnc Functiondiffsin gives x→cosxHamdistInteger1, Integer2 GramschmidtVector, FunctionHalftanhyp2expExprTrig Halftanhyp2expsinx+sinhx returnsHeavisideReal IcontentPoly,VarIcontent24x3+6x2-12x+18 gives Head1,2,3 givesInv Returns the inverse of an expression or matrix Interval2center Returns the center of an intervalIPart4.3 returns JacobisymbolInteger1, Integer2Jacobisymbol132,5 gives IPartReal or iPartListLin Returns an expression with the exponentials linearized Logb Returns the logarithm of base b of a Lname Returns a list of the variables in an expressionMat2list Returns a list containing the elements of a matrix Lvar Returns a list of variables used in an expressionMedian1,2,3,5,10,4 gives MeanList1, List2 or meanMatrixMean1,2,3,1,2,3 gives 7/3 MedianList1, List2 or medianMatrixMultcconjugateExpr ModgcdPoly1,Poly2Modgcdx4-1,x-12 gives MRowExpr, Matrix, IntegerNormalizeVector or normalizeComplex NDerivfx,x,h returns fx+h-fx-h*0.5/hNormalExpr Normal2*x*2 gives 4*xPIECEWISE⎪ PI Inserts πPlotpolarπ/2x, x=-π..π plots a partial spiral PlotparamfVar+i*gVar, Var= IntervalPlotparamcost+i*sint, t=0..2*π plots the unit circle PlotpolarExpr,Var=IntervalPOLYCOEF-1, 1 returns 1, 0 PoleCrcle,LinePolecircle0, 1, line1+i, 2 returns point1/2,1/2 POLYCOEFVector or POLYCOEFListPOLYROOTPoly or POLYROOTVector PolygonscatterplotMatrixPolynomialregressionList1, List2, Integer Polynomialregression1, 2, 3, 4, 1, 4, 9, 16,3 returns 0 1 0Prepend1,2,3 gives 3,1,2 PowerregressionList1, List2Powerregression1, 2, 3, 4, 1, 4, 9, 16 returns 2 Powerpccircle0,1+i,3+i givesPurge Unassigns a variable name Quote Returns an expression unevaluated ⎠ returns Remove6,1 2 6 7 returns 1 2 Reducedconicx2+2*x-2*y+1 returnsRefMatrix RemoveElement, Vector or removeElement, ListRestart Purges all the variables Residue Returns the residue of an expression at a valueExample Gives RowDim Returns the number of rows of a matrixSignature Returns the signature of a permutation Sqrt Returns the square root of an expression Sto Stores a real or string in a variable Transpose Returns a matrix transposed without conjugation Sylvester Returns the Sylvester matrix of two polynomialsType Returns the type of an expression e.g. list, string Returns the square of an expression When Used to introduce a conditional statementInserts the imaginary number Creating your own functionsExpr Function field, enter the function. eAA+fABAC Variables AaE Working with Home variablesResult is written to history Multiply a by AAxotwAS. Sq1o2 o3 E Working with user variables Working with app variablesExample 3 You can also store objects in variables More about the Vars menu Qualifying variables Home variables Home variables are accessed by pressing aand TappingAAngle ADigits AComplex AFormat App variablesFunction app variables NumStart NumType NumStep NumZoom NumIndepResults variables Geometry app variablesColWidth RowHeight Category Names Symbolic PlotSpreadsheet app variables Solve app variablesNumXStart Advanced Graphing app variablesNumYStart NumType NumXStep NumXZoom NumYStep NumYZoom Statistics 1Var app variables MaxVal NbItemMinVal MedValStatistics 2Var app variables ΣCov CorrCoefDet SCovSerrY Inference app variablesContains the sum of the dependent values Y Prob CritScoreCritVal1 CritVal2NumStart NumType NumStep NumZoom Parametric app variablesNumIndep NumType NumStart NumZoom NumStep Polar app variablesFinance app variables Θmin RecenterQuadratic Explorer app variables Linear Solver app variablesTriangle Solver app variables Linear Explorer app variablesSequence app variables Trig Explorer app variablesCategory Names Modes Length Acceleration Units and constantsUnits Unit categoriesPalette of prefixes Unit calculationsPrefixes Units menu includes an entry that is not a unit+5 SF MKSA8.175cm/s returns .08175m*s-1 Unit toolsUFACTOR100C,1A returns 100A*s Physical constantsUSIMPLIFY5kg*m2/s2 returns 5J Value or measurement? Avogadro, NA List of constants450 Create a list in the List Catalog Lists= or \ =or \ List EditorList Editor Buttons KeysTo insert an element To edit a listA list To createa list Deleting listsLists in Home view To delete a listTo display one To store a listAj7 To display a list2,3 returns 5,10,15 List functionsTo send a list Data on page 44 for instructionsAajo Make ListSort Menu formatReverse Concatenate Position Size Aj5 E Aj5EAd1E Finding statistical values for listsAj1E Aj1Beginning on page 211, for the meaning of each statistic Vectors MatricesMatrices POLYROOT1,0,-1,0M1 Creating and storing matricesEditor Working with matricesMatrix Editor To create a matrix in the Matrix Editor View Matrices in HomeTo store a matrix To display a matrix Matrixnamerow,column Matrix arithmeticR1o2 To send a matrixDivide by a scalar E3 EHAQ1 + To multiplyAQ1k5 AQ1sAAQ1kQ Q1 n AQ2 Solving systems of linear equations2E3E Tap in cell R1, C3 E 1E1E Q1E4EQ1 Commands Matrix functions and commandsSns AQ1E TRN ⎜ Matrix functionsArgument conventions TRN matrixIDENMATsize Rref matrixRref 3,2,3,4Cos1 -sin1sin1 cos1 JordanBlockExpr,n0 JordanBlock7,3 returns 0 7 1 0 0 HilbertnRownorm ⎜ Rank Specnorm ⎜Specrad ⎜ CondEigenvv EIGENVALmatrix37228… -0.37228… Eigenvv matrixIhermiteMtrxA CholeskymatrixExample CAS view Cholesky ⎜Ismith ⎜ HessenbergMtrxA278 IsmithMtrxALUmatrix LSQmatrix1, matrix2LSQ P*A=L*USVD ⎝ QRmatrix A,var1,var2SCHURmatrix Example Schur ⎛⎜ 1 2 ⎞⎟ returnsL2normVect 4649… 0.3659…Cross 1 2 , 3 4 returns DOT 1 2 , 3 4 returnsMaxnormVect or Mtrx ExamplesMaxnorm 1 2 3 -4 returns + y z = 5 2x y = 2y + z = 488 Begins a new note, Features. See belowOpens the selected note for EditingRename renames the selected note To create a note from the Notes CatalogOpen the Note Catalog To create a note for an app Are adding or editing a note KeysWith lowercase locked, make next character uppercase Make the next character upper-caseText formatting Mathematical InsertingExpressions Sharing notes Pixon xposition, yposition ,color HP Prime Programs Command StructureProgramming in HP PPL Pixon xposition, ypositionEND Program CatalogProgram Structure Comments Export Myprogam BeginProgram Catalog buttons and keys Open Program Catalog=or S\ Myprogram Creating a new programProgram Editor Or S=and Checks the current program for errorsStrings Drawing Matrix App Functions Integer More Press Jto return to the main menu Begin and END For N from 1 to 3 do Tap Myprogram to expand the menu and select Myprogram Run a ProgramParameters Debug a ProgramMulti-function ProgramsProgram Catalog, select Edit a program Copy a program or part of a program 510 To share a program HP Prime programming languageVariables and visibility Export Radius Export Getradius Begin Inputradius END Programming in HP PPL 513 Return 1+RANDINTN-1 Program RolldieProgram Export RolldienReturn 1+RANDINTn-1 END L2roll+1 L2rollRolldie ROLLDIEnUser Keyboard Customizing key presses User modeBegin Return 1+RANDINTN-1 END Re-assigning keys Internal name of keys and key states Key namesKDiv KAMath App programsView text, function Using dedicated program functions Redefining the View menuResets or Initializes an app Starts an appCustomizing an app DiceSimulation Tap Enter a name for the new app such asView Roll Dice,ROLLMANY Dicesimvars RolldieExport SIDES,ROLLS Export DiceSimulation Begin ENDUntil Sides =4 STARTVIEW7,1 END SidesBegin Repeat SIDES= Floorsides If SIDES2 thenSides END STARTVIEW1,1 ENDSTARTVIEW0,1 END Export ROLLS,SIDES Export Dicesimvars BeginRoll Dice Program commandsExport SQM1X Begin Return END Commands under the Tmplt menu BlockBegin END Syntax Begin command1 command2… commandN END BranchLoop Default commands ENDCase Export Drawpattern Begin Export Maxfactorsn BeginMSGBOXMax of + max + factors for +result MAXFACTORS100END Wait RectExport ISPERFECTn INPUTSIDES,Die Sides,N = ,Enter num sides,2 +1 d END Return sum==n ENDExport Perfectnums Begin Export Sides Export Getsides Begin RepeatSyntax Export FunctionName VariableFunction Export Syntax Export var1, var2, …, varnChar Syntax CHARvector or CHARinteger Commands under the Cmds menu StringsINSTRINGvanilla,van returns Instring banana,na returns StringF1, when F1X Cosx = Cosx666666666667 StringDrawing Ymax Pixels and Cartesian Grobhpg Getpix Syntax GETPIXG, x, yGETPIXPG, x, y Grobh Syntax GrobhgINVERTPG, x1, y1, x2, y2 GrobwpgPIXOFFPG, x, y PIXONPG, x, y ,color Pixon Syntax PIXONG, x, y ,colorWait END Export BOX Begin Rect RECTP40,90,#0+sign*4/2*K-1 a Export Piseries BeginLocal sign K=2 A=4 sign=−1 Rect TEXTOUTPN=,0,0 Textoutppi APPROX=,0,30 RepeatAddrow Syntax ADDROWmatrixname, vector, rownumber Sign*-1 sign K+1 KUntil END Addcol Syntax ADDCOLmatrixname, vector, columnnumberSUB Syntax SUB name, start, end Replace Syntax REPLACEname, start, objectScale Syntax SCALEname, value, rownumber Scaleadd Syntax Scaleadd name, value, row1, row2App Functions Bitand Syntax BITANDint1, int2, … intn Commands→R Syntax B→R#integerm Bitsl Syntax BITSLint1 ,int2Getbase Syntax GETBASE#integerm Choose Syntax CHOOSEvar, title, item1, item2,…,itemn Getbits Syntax GETBITS#integerExample GETBITS#22122 returns #20h or →B Syntax R→Binteger Setbits Syntax SETBITS#integerm ,bitsTaps Example EDITMATM1 edits matrix M1 Getkey Syntax Getkey Editmat Syntax EDITMATmatrixvarExport Sides Export Getsides Input Syntax INPUTvar ,title, label, help, resetBegin INPUTSIDES,D ie Sides,N = ,Enter num sides,2 END Export Areacalc Begin Msgbox Syntax MSGBOXexpression or string ,okcancel?Programming in HP PPL 553 Execon Syntax EXECON&expr, List1, list2,… Executes the function or returns the variable usingMore CAS Syntax CAS.function or CAS.variableExample ITERATEX2, X, 2, 3 returns Example →HMS54.8763 returns 5452′34.68″EXECON&23+&1,1,5,16,4,5,6,7 returns 7,12 Variables and Programs Programming in HP PPL 557 Cursor App variablesPlot view variables AxesLabels GridLinesHmin/Hmax HwidthΘmin/θmax Nmin/NmaxRecenter S1mark-S5mark SeqPlotTstep Θstep Polar Tmin/TmaxXtick Ytick Xmin/Xmax Yzoom Symbolic view variablesYmin/Ymax XzoomH1...H5 F0...F9H1Type...H5Type S1...S5 R0...R9S1Type...S5Type X0, Y0...X9,Y9 TypeU0...U9 NumIndep Numeric view variablesC0...C9 D0...D9 NumType-forAutomatic default  NumType-forBuildYourOwn  NumStep where n NumXStep where n  NumYStep where nAlpha Conf  NumXZoom where n NumYZoom where n Inference app variables Mean2 Mean1Mean2  Mean1Difference of two means or two proportions, sets  Pooled-for not pooled defaultPooled  Pooled-for pooledVariables Finance appCPYR PMTV NbPmtIPYR NbPmtTriangle Linear Solver app variablesSolver app AngleC SideCAngleA AngleBHome SettingsLanguage HComplexDate TimeSigned EntryBase BitsAComplex SymbolicSetup AAngle AFormat AFormat580 Basic integer arithmetic Default base Binary, Octal, Decimal or Hex Changing the default baseMixed-base arithmetic Examples of integer arithmeticInteger manipulation These are described in Integer, beginning on Base functionsGlossary Catalog Symbolic, and Symbolic Setup Matrix Two-dimensional array of real orRecord using the Program Editor Vector One-dimensional array of real or590 If the calculator does not turn on TroubleshootingTo reset Calculator not respondingStatus messages Operating limitsApps, matrices, lists, notes, or Correct. Look up the functionName in the index to find its Proper syntax594 Cables Product regulatory informationFederal Communications Commission notice Modifications596 European Union Regulatory Notice 598 Substances ChemicalParliament and the Council. a chemical information 600 Index CAS 54 Menu 324-347 settings 30, 55 view370-371 Functions 118-122, 348 variables 366-369 299-301 606 Samples 514-516, 524-527 structure Zoom 88-94 points Polar app 70, 277-280 variables215 Solve app 70, 259-266 functions 349 limitations 264 messagesApp 109, 558-579 CAS Types of 89-90