Hp Prime Graphing Calculator Manual do Utilizador

HP Prime Graphing Calculator User Guide

6 ContentsPlot ...342App menu ...

96 An introduction to HP appsPlot view: Summary of menu buttonsCommon operations in Plot Setup view This section covers only operations common to the

An introduction to HP apps 97configuration options are spread across two pages. Tap to move from the first to the second page, and to return to the

98 An introduction to HP appsPage 2S*MARK[Stats 2 Var only]Sets the graphic that will be used to represent a data point in a scatter plot. A different

An introduction to HP apps 99Graphing methodsThe HP Prime gives you the option of choosing one of three graphing methods. The methods are described be

100 An introduction to HP appsRestore default settings[Scope: Advanced Graphing, Function, Parametric, Polar, Sequence, Solve, Statistics 1 Var, Stati

An introduction to HP apps 101x-values will be 10, 10.1, 10.2, 10.3, 10.4, etc. (Zooming out does the opposite: 10, 10.4, 10,8, 11.2 etc. becomes10, 1

102 An introduction to HP appsThe zoom options are explained in the following table. EvaluatingYou can step through the table of evaluations in Numeri

An introduction to HP apps 1033. Tap . Numeric view is refreshed, with the value you entered in the first row and the result of the evaluation in a ce

104 An introduction to HP appsNumeric view: Summary of menu buttonsButton Purpose To modify the increment between consecutive values of the independen

An introduction to HP apps 105Common operations in Numeric Setup view [Scope: Advanced Graphing, Function, Parametric, Polar, Sequence]Press SM to ope

Contents 724 ListsCreate a list in the List Catalog ... 453The List Editor...

106 An introduction to HP appsTo help you set a starting number and increment that matches the current Plot view, tap .Restore default settingsTo rest

An introduction to HP apps 107To add a note to an app:1. O p e n t h e a p p.2. Press SI (Info). If a note has already been created for this app, it

108 An introduction to HP appsLike built-in apps, customized apps can be sent to another HP Prime calculator. This is explained in “Sharing data” on p

An introduction to HP apps 109Sequence app—see chapter 17, “Sequence app”, beginning on page 279.As well as cloning a built-in app—as described above—

110 An introduction to HP appsSuppose you are in Home view and want to retrieve the mean of a data set recently calculated in the Statistics 1Var app.

Function app 1116Function appThe Function app enables you to explore up to 10 real-valued, rectangular functions of y in terms of x; for example, and

112 Function appOpen the Function app1. Open the Function app.I Select FunctionRecall that you can open an app just by tapping its icon. You can also

Function app 1135. Decide if you want to:– give one or more function a custom color when it is plotted– evaluate a dependent function– deselect a defi

114 Function appTrace a graphBy default, the trace functionality is active. This enables you to move a cursor along a graph. If more than two graphs a

Function app 115• Use options on the Zoom menu to zoom in or out, horizontally or vertically, or both, etc.• Use options on the View menu (V) to selec

8 Contents28 Basic Integer arithmeticThe default base...576Changing the default base..

116 Function appYou can also choose whether the table of data in Numeric view is automatically populated or whether it is populated by you typing in t

Function app 117expressions selected in Symbolic view: 1–x and (x–1)2–3. You can also scroll through the columns of the dependant variables (labeled F

118 Function appAnalyzing functionsThe Function menu ( ) in Plot view enables you to find roots, intersections, slopes, signed areas, and extrema for

Function app 119Note the button. If you tap this button, vertical and horizontal dotted lines are drawn through the current position of the tracer t

120 Function app3. Choose the function whose point of intersection with the currently selected function you wish to find. The coordinates of the inter

Function app 1212. Specify the start value for x:Tap and press Q1.3E.3. Tap .4. Select the other function as the boundary for the integral. (If F1(X)

122 Function appnumber you type appears on the entry line. Just tap to accept it.To find the extremum of the quadratic1. To calculate the coordinates

Function app 123To access Function variablesThe Function variables are available in Home view and in the CAS, where they can be included as arguments

124 Function appSummary of FCN operationsOperation Description RootSelect Root to find the root of the current function nearest to the tracing cursor.

Advanced Graphing app 1257Advanced Graphing appThe Advanced Graphing app enables you to define and explore the graphs of symbolic open sentences in x,

Preface 9PrefaceManual conventionsThe following conventions are used in this manual to represent the keys that you press and the menu options that you

126 Advanced Graphing appGetting started with the Advanced Graphing appThe Advanced Graphing app uses the customary app views: Symbolic, Plot, and Num

Advanced Graphing app 127Open the app1. Open the Advanced Graphing app:I Select Advanced GraphingThe app opens in the Symbolic view.Define the open se

128 Advanced Graphing app4. Display Plot Setup view:SP(Setup) For this example, you can leave the plot settings at their default values. If your setti

Advanced Graphing app 1298. Tap . The definition as you entered it in Symbolic view appears at the bottom of the screen.9. Tap . The definition is now

130 Advanced Graphing appThe tracer does not extend beyond the current Plot view window. The table below contains brief descriptions of each option.Tr

Advanced Graphing app 131Numeric viewThe Numeric view of most HP apps is designed to explore 2-variable relations using numerical tables. Because the

132 Advanced Graphing appNumeric SetupAlthough you can configure the X- and Y-values shown in Numeric view by entering values and zooming in or out, y

Advanced Graphing app 133Trace Edge 16.Tap and select Edge.Now the table shows (if possible) pairs of values that make the relation true. By default,

134 Advanced Graphing appPlot GalleryA gallery of interesting graphs—and the equations that generated them—is provided with the calculator. You open t

Geometry 1358GeometryThe Geometry app enables you to draw and explore geometric constructions. A geometric construction can be composed of any number

10 Preface• Items you can select from a list, and characters on the entry line, are set in a non-proportional font, as follows:Function, Polar, Parame

136 GeometryPreparation 1. P r e s s SH.2. On the Home Setting screen set the number format to Fixed and the number of decimal places to 3.Open the

Geometry 137Add a tangent 8. We will now add a tangent to the curve, making point B the point of tangency: > More > Tangent9. Tap on point B, pr

138 Geometryfinger completes the move and deselects the point. In this case there is no way to cancel the move unless you have activated keyboard shor

Geometry 139point B (referred to as GB in Symbolic view) and the later is to constrained to the slope of C (referred to as GC in Symbolic view).19. Yo

140 Geometrytangent changes in Plot view, the value of the slope is automatically updated in Numeric view.26.With the new calculation highlighted in N

Geometry 141derivative changes by looking at a plot of it rather than comparing subsequent calculations. We can do that by tracing point D as it moves

142 Geometryobject. When creating a point, you can tap on the screen and then use the cursor keys to accurately position the point before pressing E.N

Geometry 143them if you go to Symbolic view (see “Symbolic view in detail” on page 148).Naming objects and parts of objects enables you to refer to th

144 Geometry1. Select the object whose color you want to change.2. Press Z.3. Select Change Color.The Choose Color palette appears.4. Select the color

Geometry 145circle and press C, the circle is deleted but the center point and radius point remain.If you tap C when no object is selected, a list of

Getting started 111Getting startedThe HP Prime Graphing Calculator is an easy-to-use yet powerful graphing calculator designed for secondary mathemati

146 GeometryPlot view: buttons and keysPlot Setup viewThe Plot Setup view enables you to configure the appearance of Plot view and to take advantage o

Geometry 147Geometry Plot Setup screen, you can change it by panning and zooming.•Y Rng: Two fields for entering the minimum and maximum y-values, the

148 GeometrySymbolic view in detailEvery object—whether a point, segment, line, polygon, or curve—is given a name, and its definition is displayed in

Geometry 149You can change the definition of an object by selecting it, tapping , and altering one or more of its defining parameters. The object is

150 GeometryDeleting an objectAs well as deleting an object in Plot view (see page 144) you can delete an object in Symbolic view.1. Highlight the def

Geometry 151You could have entered the command and object name manually, that is, without choosing them from menus. If you enter object names manually

152 Geometrygrouped according to their type, with each group given its own menu.If you are building a calculation, you can select an object from one o

Geometry 153Geometric objectsThe geometric objects discussed in this section are those that can be created in Plot view. Objects can also be created i

154 Geometryplaced on a circle will remain on that circle regardless of how you move the point.If there is no object where you tap, a point is created

Geometry 155Erase Trace Erases all trace lines, but leaves the definition of the trace points in Symbolic view. While a Trace definition is still in S

12 Getting startedWhen the calculator is on, a battery symbol appears in the title bar of the screen. Its appearance will indicate how much power the

156 GeometryLineSegment Tap where you want one endpoint to be and press E. Tap where you want the other endpoint to be and press E. A segment is drawn

Geometry 157Parallel Tap on a point (P) and press E. Tap on a line (L) and press E. A new line is draw parallel to L and passing through P.Perpendicul

158 Geometryfour vertices are automatically calculated and the regular hexagon is drawn.SpecialEq. triangle Produces an equilateral triangle. Tap at o

Geometry 159SpecialCircumcircle A circumcircle is the circle that passes through each of the triangle’s three vertices, thus enclosing the triangle. T

160 GeometryLocus Takes two points as its arguments: the first is the point whose possible locations form the locus; the second is a point on an objec

Geometry 161Geometric transformationsThe Transform menu—displayed by tapping —provides numerous tools for you to perform transformations on geometric

162 GeometryReflection A reflection is a transformation which maps an object or set of points onto its mirror image, where the mirror is either a poin

Geometry 163Rotation A rotation is a mapping that rotates each point by a fixed angle around a center point. The angle is defined using the angle() co

164 Geometrylengths of the corresponding segments. If k=1, then the lengths CA and CA’ are reciprocals. Suppose you wish to find the inversion of a ci

Geometry 165Geometry functions and commandsThe list of geometry-specific functions and commands in this section covers those that can be found by tapp

Getting started 13The Home View Home view is the starting point for many calculations. Most mathematical functions are available in the Home view. Som

166 GeometrycenterReturns the center of a circle.center(circle)Example: center(circle(x2+y2–x–y)) gives point(1/2,1/2)division_pointFor two points A a

Geometry 167isobarycenterReturns the hypothetical center of mass of a set of points. Works like barycenter but assumes that all points have equal weig

168 Geometrypoint2dRandomly re-distributes a set of points such that, for each point, x ∈ [–5,5] and y ∈ [–5,5]. Any further movement of one of th

Geometry 169bisectorGiven three points, creates the bisector of the angle defined by the three points whose vertex is at the first point. The angle do

170 Geometryline(2x–3y–8) draws the line whose equation is 2x–3y=8line(3–2i,slope=1/2) draws the line whose equation is x–2y=7; that is, the line thro

Geometry 171perpendicularDraws a line through a given point that is perpendicular to a given line. The line may be defined by its name, two points, or

172 GeometryPolygonequilateral_triangleDraws an equilateral triangle defined by one of its sides; that is, by two consecutive vertices. The third poin

Geometry 173isosceles_triangleDraws an isosceles triangle defined by two of its vertices and an angle. The vertices define one of the two sides equal

174 GeometrypolygonDraws a polygon from a set of vertices.polygon(point1, point2, …, pointn)Example:polygon(GA, GB, GD) draws ΔABDquadrilateralDraws a

Geometry 175Examplerhombus(GA, GB, angle(GC, GD, GE)) draws a rhombus on segment AB such that the angle at vertex A has the same measure as ∡ DCE.righ

14 Getting startedSections of the displayHome view has four sections (shown above). The title bar shows either the screen name or the name of the app

176 GeometryCurvefunctionDraws the plot of a function, given an expression in the independent variable x. Note the use of lowercase x. plotfunc(Expr)E

Geometry 177ellipseDraws an ellipse, given the foci and either a point on the ellipse or a scalar that is one half the constant sum of the distances f

178 GeometryExample:incircle(GA, GB, GC) draws the incircle of ΔABC.locusGiven a first point and a second point that is an element of (a point on) a g

Geometry 179inversion and the scale factor is 3. Point B is the point whose inversion is created.In general, the inversion of point A through center C

180 GeometryExample:similarity(0, 3, angle(0,1,i),point(2,0)) dilates the point at (2,0) by a scale factor of 3 (a point at (6,0)), then rotates the r

Geometry 181Example:areaat(circle(x^2+y^2=1), point(-4,4)) displays “acircle(x^2+y^2=1)= π” at point (-4, 4))areaatrawWorks the same as areaat, but wi

182 GeometryExample:slopeat(line(point(0,0), point(2,3)), point(-8,8)) displays “sline(point(0,0), point(2,3))=3/2” at point (–8, 8)slopeatrawWorks th

Geometry 183arcLenReturns the length of the arc of a curve between two points on the curve. The curve is an expression, the independent variable is de

184 GeometryExamples:distance(1+i, 3+3i) returns 2.828… or 2√2.if GA is the point at (0, 0) and GB is defined as plotfunc(4–x^2/4), then distance (GA,

Geometry 185parameqWorks like the equation command, but returns parametric results in complex form.parameq(GeoObj )perimeterReturns the perimeter of a

Getting started 15CAS [White] You are working in CAS view, not Home view. [orange] In Home viewThe Alpha key is active. The charac-ter shown in orange

186 Geometryis_concyclicTakes a set of points as argument and tests if they are all on the same circle. Returns 1 if the points are all on the same ci

Geometry 187Example:is_isoscelesl(point(0,0), point(4,0), point(2,4)) returns 3.is_orthogonalTests whether or not two lines or two circles are orthogo

188 Geometryis_rectangleTests whether or not a set of four points are vertices of a rectangle. Returns 0 if they are not, 1 if they are, and 2 if they

Geometry 189lines; in this case, it returns the equation of the harmonic conjugate line.harmonic_conjugate(point1, point2, point3) or harmonic_conjuga

190 Geometryis_harmonic_line_bundleReturns 1 if the lines are concurrent, 2 if they are all parallel, 3 if they are the same line and 0 otherwise.is_h

Geometry 191polarReturns the polar line of the given point as pole with respect to the given circle.polar(circle, point)Example:polar(circle(x^2+y^2=1

192 GeometryExample:radical_axis(circle(((x+2)²+y²) = 8),circle(((x-2)²+y²) = 8)) returns line(x=0)reciprocationGiven a circle, returns the poles (poi

Spreadsheet 1939SpreadsheetThe Spreadsheet app provides a grid of cells for you to enter content (such as numbers, text, expressions, and so on) and t

194 Spreadsheet3. Enter PRICE and tap . You have named the entire first column PRICE.4. Select column B. Either tap on B or use the cursor keys to hi

Spreadsheet 19511. To delete the dummy values, select cell A1, tap , press \ until all the dummy values are selected, and then press C.12. Select cel

Edition1Part Number NW280-2001Legal NoticesThis manual and any examples contained herein are provided "as is" and are subject to change wi

16 Getting startedNavigationThe HP Prime offers two modes of navigation: touch and keys. In many cases, you can tap on an icon, field, menu, or object

196 Spreadsheet23. Enter a label for your fixed costs:S.ANCOSTSE24.In cell D5, enter 100. This is what you have to pay the landowner for renting the s

Spreadsheet 19732.Tap and select Color.33.Choose a color for the contents of the selected cells.34.Tap and select Fill.35.Choose a color for the b

198 SpreadsheetCell referencesYou can refer to the value of a cell in formulas as if it were a variable. A cell is referenced by its column and row co

Spreadsheet 1991. Select cell A (that is the header cell for column A). 2. Enter COST and tap . 3. Select cell B (that is the header cell for column B

200 SpreadsheetA single formula can add content to every cell in a column or row. For example, move to C (the heading cell for column C), enter S.SIN(

Spreadsheet 201You can also export data from the Spreadsheet app to a statistics app. See “Entering and editing statistical data” on page 213 for the

202 SpreadsheetCopy and pasteTo copy one or more cells, select them and press SV (Copy). Move to the desired location and press SZ (Paste). You can ch

Spreadsheet 203Referencing variablesAny variable can be inserted in a cell. This includes Home variables, App variables, CAS variables and user variab

204 SpreadsheetUsing the CAS in spreadsheet calculationsYou can force a spreadsheet calculation to be performed by the CAS, thereby ensuring that resu

Spreadsheet 205Buttons and keysButton or key Purpose Activates the entry line for you to edit the object in the selected cell. (Only visible if the se

Getting started 17Touch gesturesIn addition to selection by tapping, there are other touch-related operations available to you:To quickly move from pa

206 SpreadsheetFormatting optionsThe formatting options appear when you tap . They apply to whatever is currently selected: a cell, block, column, ro

Spreadsheet 207Format ParametersEach format attribute is represented by a parameter that can be referenced in a formula. For example, =D1(1) returns t

208 Spreadsheetrelevant cell. For example, wherever it is placed g5(1):=6543 enters 6543 in cell g5. Any previous content in g5 is replaced. Similarly

Statistics 1Var app 20910Statistics 1Var appThe Statistics 1Var app can store up to ten data sets at one time. It can perform one-variable statistical

210 Statistics 1Var app160 E 165 E170 E 175 E180 E3. Find the mean of the sample. Tap to see the statistics calculated from the sample data i

Statistics 1Var app 211Symbolic view: menu itemsThe menu items you can tap on in Symbolic view are:To continue our example, suppose that the heights o

212 Statistics 1Var app7. Enter the name of the column that you will contain the frequencies (in this example, D2): 2 8. If you want to choose a colo

Statistics 1Var app 213SP ((Setup) Enter parameters appropriate to your data. Those shown at the right will ensure that all the data in this particula

214 Statistics 1Var appWhichever method you use, the data you enter is automatically saved. You can leave this app and come back to it later. You will

Statistics 1Var app 215Delete data • To delete a data item, highlight it and press C. The values below the deleted cell will scroll up one row.• To de

18 Getting startedThe keyboardThe numbers in the legend below refer to the parts of the keyboard described in the illustration on the next page.Number

216 Statistics 1Var appyou want to sort by income, then you make C2 the independent column and C1 the dependent column.4. Specify any frequency data c

Statistics 1Var app 217PlottingYou can plot:• Histograms• Box-and-Whisker plots• Normal Probability plots• Line plots• Bar graphs• Pareto chartsOnce y

218 Statistics 1Var appthat bin is 6. The data set is defined by H3 in Symbolic view. You can see information about other bins by pressing > or <

Statistics 1Var app 219Pareto chart A pareto chart places the data in descending order and displays each with its percentage of the whole.Setting up t

220 Statistics 1Var appPlot view: menu itemsThe menu items you can tap on in Plot view are:Button Purpose Displays the Zoom menu.Turns trace mode on o

Statistics 2Var app 22111Statistics 2Var appThe Statistics 2Var app can store up to ten data sets at one time. It can perform two-variable statistical

222 Statistics 2Var appOpen the Statistics 2Var app1. Open the Statistics 2Var app:I Select Statistics 2Var. Enter data 2. Enter the advertising minut

Statistics 2Var app 2235. Select a fit:From the Type 1 field select a fit. In this example, select Linear.6. If you want to choose a color for the gra

224 Statistics 2Var app10.Find the mean sales ().The mean sales, , is approximately $1, 7 9 6 .Press to return to Numeric view. Setup plot 11. Chang

Statistics 2Var app 225Display the equation13. Return to the Symbolic view. YNote the expression in the Fit1 field. It shows that the slope (m) of the

Getting started 19Context-sensitive menu A context-sensitive menu occupies the bottom line of the screen.The options available depend on the context,

226 Statistics 2Var appThe cursor jumps from whatever data point it was on to the regression curve.16. Tap on the regression line near x = 6 (near the

Statistics 2Var app 227Whichever method you use, the data you enter is automatically saved. You can leave this app and come back to it later. You will

228 Statistics 2Var appDelete data • To delete a data item, highlight it and press C. The values below the deleted cell will scroll up one row.• To de

Statistics 2Var app 229Defining a regression modelYou define a regression model in Symbolic view. There are three ways to do so:• Accept the default o

230 Statistics 2Var appTo define your own fit1. P r e s sYto display the Symbolic view. 2. For the analysis you are interested in (S1 through S5), sel

Statistics 2Var app 231Computed statisticsWhen you tap , three sets of statistics become available. By default, the statistics involving both the ind

232 Statistics 2Var appThe statistics displayed when you tap are:The statistics displayed when you tap are:Plotting statistical dataOnce you have

Statistics 2Var app 233necessary), the X Rng and Y Rng fields in Plot Setup view. (SP).3. PressP. If the data set and regression line are not ideally

234 Statistics 2Var apppress \ a fourth time, you will return to the S1 scatter plot. If you are confused as to what you are tracing, just tap to se

Statistics 2Var app 235Predicting valuesPredX is a function that predicts a value for X given a value for Y. Likewise, PredY is a function that predic

20 Getting startedThere are two types of buttons on the context-sensitive menu:• menu button: tap to display a pop-up menu. These buttons have square

236 Statistics 2Var appHINTIn cases where more than one fit curve is displayed, the PredX and PredY functions use the first active fit defined in Symb

Inference app 23712Inference appThe Inference app enables you to calculate confidence intervals and undertake hypothesis tests based on the Normal Z-d

238 Inference appSymbolic view optionsThe table below summarizes the options available in Symbolic view for the two inference methods: hypothesis test

Inference app 239Select the inference method2. Hypothesis Test is the default inference method. If it is not selected, tap on the Method field and sel

240 Inference appThe Numeric view is where you enter the sample statistics and population parameters for the situation you are examining. The sample d

Inference app 241Importing statisticsThe Inference app can calculate confidence intervals and test hypotheses based on data in the Statistics 1Var and

242 Inference appCalculate statistics4. Calculate statistics:The statistics calculated will now be imported into the Inference app.5. Tap to close th

Inference app 24311. From t h e App field select the statistics app that has the data you want to import. 12. I n t h e Column field specify the c

244 Inference appThe HP Prime hypothesis tests use the Normal Z-distribution or the Student’s t-distribution to calculate probabilities. If you wish t

Inference app 245Results The results are:Two-Sample Z-TestMenu name Z-Test: 1 – 2On the basis of two samples, each from a separate population, this

Getting started 21Sv Relations palette: Displays a palette of comparison operators and Bool-ean operators.Sr Special symbols palette: Displays a palet

246 Inference appResults The results are:One-Proportion Z-TestMenu name Z-Test: On the basis of statistics from a single sample, this test measures

Inference app 247Results The results are:Two-Proportion Z-TestMenu name Z-Test: 1– 2On the basis of statistics from two samples, each from a differe

248 Inference appResults The results are:One-Sample T-TestMenu name T-Test: 1 This test is used when the population standard deviation is not known.

Inference app 249Inputs The inputs are:Results The results are:Two-Sample T-TestMenu name T-Test: 1 – 2This test is used when the population standar

250 Inference appInputs The inputs are:Results The results are:Field nameDefinitionSample 1 meanSample 2 means1Sample 1 standard deviations2Sample 2 s

Inference app 251Confidence intervalsThe confidence interval calculations that the HP Prime can perform are based on the Normal Z-distribution or Stud

252 Inference appInputs The inputs are:Results The results are:One-Proportion Z-IntervalMenu name Z-Int: 1This option uses the Normal Z-distribution

Inference app 253Results The results are:Two-Proportion Z-IntervalMenu name Z-Int: 1 – 2This option uses the Normal Z-distribution to calculate a co

254 Inference appOne-Sample T-IntervalMenu name T-Int: 1 This option uses the Student’s t-distribution to calculate a confidence interval for , the

Inference app 255Inputs The inputs are:Results The results are:Result DefinitionSample 1 meanSample 2 means1Sample 1 standard deviations2Sample 2 stan

22 Getting startedShift keysThere are two shift keys that you use to access the operations and characters printed on the bottom of the keys: S and A.S

256 Inference app

Solve app 25713Solve appThe Solve app enables you to define up to ten equations or expressions each with as many variables as you like. You can solve

258 Solve appOne equationSuppose you want to find the acceleration needed to increase the speed of a car from 16.67 m/s (60 kph) to 27.78 m/s (100 kph

Solve app 259Enter known variables4. Display the Numeric view. M Here you specify the values of the known variables, highlight the variable that you

260 Solve appPlot the equationThe Plot view shows one graph for each side of the solved equation. You can choose any of the variables to be the indepe

Solve app 261NOTEBy dragging a finger horizontally or vertically across the screen, you can quickly see parts of the plot that are initially outside t

262 Solve appvariables, or let the calculator provide a solution. (Typically a seed value is a value that directs the calculator to provide, if possib

Solve app 263Solution informationWhen you are solving a single equation, the button appears on the menu after you tap . Tapping displays a messag

264 Solve appCannot find solutionNo values satisfy the selected equation or expression.Bad Guess(es)The initial guess lies outside the domain of the e

Linear Solver app 26514Linear Solver appThe Linear Solver app enables you to solve a set of linear equations. The set can contain two or three linear

Getting started 23Adding textThe text you can enter directly is shown by the orange characters on the keys. These characters can only be entered in co

266 Linear Solver appNoteIf the last time you used the Linear Solver app you solved for two equations, the two-equation input form is displayed. To so

Linear Solver app 267Solve a two-by-two systemIf the three-equation input form is displayed and you want to solve a two-equation set, tap .NoteYou can

268 Linear Solver app

Parametric app 26915Parametric appThe Parametric app enables you to explore parametric equations. These are equations in which both x and y are define

270 Parametric appThe graphical and numerical data you see in Plot view and Numeric view are derived from the symbolic functions defined here.Define t

Parametric app 271Set the angle measureSet the angle measure to degrees:5.SY (Settings)6. Tap the Angle Measure field and select Degrees.You could als

272 Parametric appExplore the graphThe menu button gives you access to common tools for exploring plots:: displays a range of zoom options. (The + and

Parametric app 273Display the numeric view15. D i s p l a y the Numeric view:M 16. With the cursor in the T column, type a new value and tap .The tabl

274 Parametric app

Polar app 27516Polar appThe Polar app enables you to explore polar equations. Polar equations are equations in which r—the distance a point is from th

24 Getting startedMath keysThe most common math functions have their own keys on the keyboard (or a key in combination with the S key).Example 1: To c

276 Polar app3. Define the expression 5cos(/2)cos()2.5Szfdn2>>fd>jENotice how the d key enters whatever variable is relevant to the curren

Polar app 2778. Set up the plot by specifying appropriate graphing options. In this example, set the upper limit of the range of the independent varia

278 Polar appIf only one polar equation is plotted, you can see the equation that generated the plot by tapping . If there are several equations plot

Sequence app 27917Sequence appThe Sequence app provides you with various ways to explore sequences.You can define a sequence named, for example, U1:•

280 Sequence appOpen the Sequence app1. Open the Sequence app:I Select Sequence The app opens in Symbolic view.Define the expression2. Define the Fibo

Sequence app 2816. Select Stairstep from the Seq Plot menu.7. Set the X Rng maximum, and the YRng maximum, to 8 (as shown at the right).Plot the seque

282 Sequence appDisplay Numeric view11. Display Numeric view:M 12. Wi t h t h e cu r so r anywhere in the N column, type a new value and tap .The ta

Sequence app 283Set up the table of valuesThe Numeric Setup view provides options common to most of the graphing apps, although there is no zoom facto

284 Sequence appPlot the sequence6. Plot the sequence:PPress E to see the dotted lines in the figure to the right. Press it again to hide the dotted l

Finance app 28518Finance appThe Finance app enables you to solve time-value-of-money (TVM) and amortization problems. You can use the app to do compou

Getting started 25Example: Suppose you want to find the cube root of 945:1. In Home view, press F.2. Select .The skeleton or framework for your calcul

286 Finance app3. In the I%/YR field, type 5.5—the interest rate—and press E.4. In PV field, type 19500w 3000 and press E. This is the present value o

Finance app 287The PV value is calculated as 15,705.85, this being the maximum you can borrow. Thus, with your $3,000 deposit, you can afford a car wi

288 Finance appThe following cash flow diagram shows a loan from the lender's point of view:Time value of money (TVM)Time-value-of-money (TVM) ca

Finance app 289lThere are seven TVM variables:TVM calculations: Another exampleSuppose you have taken out a 30-year, $150,000 house mortgage at 6.5% a

290 Finance apppayment. Find the size of the balloon payment—that is, the value of the mortgage after 10 years of payment.The following cash flow diag

Finance app 291Calculating amortizationsAmortization calculations determine the amounts applied towards the principal and interest in a payment, or se

292 Finance app2. Tap .3. Scroll down the table to payment group 10. Note that after 10 years, $22,835.53 has been paid off the principal and $90,936.

Triangle Solver app 29319Triangle Solver appThe Triangle Solver app enables you to calculate the length of a side of a triangle, or the size of an ang

294 Triangle Solver app2. If there is unwanted data from a previous calculation, you can clear it all by pressing SJ (Clear).Set angle measureMake sur

Triangle Solver app 295Solve for the unknown values4. Tap . The app displays the values of the unknown variables. As the illustration at the right sho

Copyright © 2013 Hewlett-Packard Development Company, L.P.Reproduction, adaptation, or translation of this manual is prohibited without prior written

26 Getting starteddegrees; and enters ″ if the previous entry is a value in minutes. Thus entering:36Sc40Sc20Scyields 36°40′20″. See “Hexagesimal numb

296 Triangle Solver appSpecial casesThe indeterminate caseIf two sides and an adjacent acute angle are entered and there are two solutions, only one w

The Explorer apps 29720The Explorer appsThere are three explorer apps. These are designed for you to explore the relationships between the parameters

298 The Explorer appsform of the equation being explored at the top and, below it, the current equation of that form. The keys you can use to manipula

The Explorer apps 299Equation mode Tap to enter equation mode. A dot will appear on the Eq button at the bottom of the screen. In equation mode, you

300 The Explorer appsQuadratic Explorer appThe Quadratic Explorer app can be used to investigate the behavior of as the values of a, h and v change.

The Explorer apps 301Choose a general form by tapping the Level button— , and so on—until the form you want is displayed. The keys available to you

302 The Explorer appsTap to see the correct answer and tap to exit Test mode.Trig Explorer appThe Trig Explorer app can be used to investigate the

The Explorer apps 303Graph mode The app opens in graph mode. In graph mode, you manipulate a copy of the graph by pressing the cursor keys. All four k

304 The Explorer appsTest mode Tap to enter test mode. In test mode you test your skill at matching an equation to the graph shown. Test mode is lik

Functions and commands 30521Functions and commandsMany mathematical functions are available from the calculator’s keyboard. These are described in “Ke

Getting started 27Note that the degree and minute entries must be integers, and the minute and second entries must be positive. Decimals are not allow

306 Functions and commands– used in the Matrix Editor– used in the List Editor– and some additional functions and commandsSee “Ctlg menu” on page 372.

Functions and commands 307RatFrac: a rational fractionFnc: a functionVar: a variableLstVar: a list of variablesParameters that are optional are given

308 Functions and commandshNatural logarithm. Also accepts complex numbers.LN(value)Example:LN(1) returns 0Sh (ex) Natural exponential. Also accepts c

Functions and commands 309Sf(ACOS)Arc cosine: cos–1x. Output range is from 0° to 180° or 0 to . Inputs and outputs depend on the current angle format

310 Functions and commandsSnReciprocal.value-1Example:3 -1 returns .333333333333 Q-Negation. Also accepts complex numbers.-valueExample:-(1+2*i) retur

Functions and commands 311NumbersCeiling Smallest integer greater than or equal to value.CEILING(value)Examples:CEILING(3.2) returns 4CEILING(-3.2) re

312 Functions and commandsTRUNCATE can also round to a number of significant digits if places is a negative integer (as shown in the second example be

Functions and commands 313Modulus Modulo. The remainder of value1/value2.value1 MOD value2Example: 74 MOD 5 returns 4Find Root Function root-finder (l

314 Functions and commandsImaginary Part Imaginary part, y, of a complex number, (x+y*i).IM(x+y*i)Example:IM(3+4*i) returns 4Unit Vector Sign of value

Functions and commands 315COT Cotangent: cosx/sinx. COT(value)ACOT Arc cotangent.ACOT(value) HyperbolicThe hyperbolic trigonometry functions can also

28 Getting started5. Press EThe result is 8.0000E15. This is equivalent to 8 × 1015.MenusA menu offers you a choice of items. As in the case shown at

316 Functions and commandsCombination The number of combinations (without regard to order) of n things taken r at a time.COMB(n,r)Example: Suppose you

Functions and commands 317Seed Sets the seed value on which the random functions operate. By specifying the same seed value on two or more calculators

318 Functions and commandsBinomial Binomial probability density function. Computes the probability of k successes out of n trials, each with a probabi

Functions and commands 319Example:CHISQUARE_CDF(2,6.1) returns 0.952641075609.F Cumulative Fisher distribution function. Returns the lower-tail probab

320 Functions and commandsT Inverse cumulative Student's t distribution function. Returns the value x such that the Student's-t lower-tail p

Functions and commands 321MatrixThese functions work on matrix data stored in matrix variables. They are explained in detail in chapter 25, “Matrices”

322 Functions and commandsCAS menuPress D to open the Toolbox menus (one of which is the CAS menu). The functions on the CAS menu are those most commo

Functions and commands 323Substitute Returns the solution when a value is substituted for a variable in an expression.subst(Expr,Var(v)=value(a))Examp

324 Functions and commandsone expression and more than one variable as arguments, returns the derivative of the expression with respect to the variabl

Functions and commands 325Series Returns the series expansion of an expression in the vicinity of a given equality variable. With the optional third a

Getting started 29To close a menu A menu will close automatically when you select an item from it. If you want to close a menu without selecting anyth

326 Functions and commandsGradient Returns the gradient of an expression. With a list of variables as second argument, returns the vector of partial d

Functions and commands 327F(b)–F(a) Returns F(b)–F(a).preval(Expr(F(var)),Real(a),Real(b),[Var])Example:preval(x^2-2,2,3) gives 5LimitsRiemann Sum Ret

328 Functions and commandsInverse Laplace Returns the inverse Laplace transform of an expression.invlaplace(Expr,[Var],[IlapVar])Example:ilaplace(1/(x

Functions and commands 329Zeros With an expression as argument, returns the zeros (real or complex according to the mode) of the expression. With a li

330 Functions and commandsDifferentialEquationReturns the solution to a differential equation.deSolve(Eq,[TimeVar],FncVar)Example:desolve(y'&apos

Functions and commands 331tExpand Returns a transcendental expression in expanded form.tExpand(Expr)Example:tExpand(sin(2*x)+exp(x+y)) gives 2*cos(x)*

332 Functions and commandsasinx → atanx Returns an expression with arcsin(x) rewritten as arctan(x/sqrt(1-x^2)).asin2atan(Expr)Example:asin2atan(2*asi

Functions and commands 333atanx → acosx Returns an expression with arctan(x) rewritten as pi/2-arccos(x/sqrt(1+x^2)). atan2acos(Expr)tanx → sinx/cosx

334 Functions and commandsatrig2ln Returns an expression with inverse trigonometric functions rewritten as logarithmic functions.atrig2ln(Expr)Example

Functions and commands 335Factors Returns the prime factor decomposition of an integer.ifactor(Intg(a))Example:ifactor(150) returns [2*3*5Factor List

30 Getting startedReset input form fieldsTo reset a field to its default value, highlight the field and press C. To reset all fields to their default

336 Functions and commandsPrevious Prime Returns the prime or pseudo-prime number closest to but smaller than an integer.prevprime(Intg(a))Example:pre

Functions and commands 337PolynomialFind Roots Returns all computed roots of a polynomial given by its coefficients. (It may not work if roots are not

338 Functions and commandsCreatePoly to Coef With a variable as second argument, returns the coefficients of a polynomial with respect to the variable

Functions and commands 339Example:randpoly(t, 8, -1..1) returns a vector of 9 random integers, all of them between –1 and 1.Minimum With only a matrix

340 Functions and commandsFactor by Degree Returns a polynomial factorized in x^n, where n is the degree of polynomial.factor_xn(Poly)Example:factor_x

Functions and commands 341Groebner Basis Returns the Groebner basis of the ideal spanned by a list of polynomials.gbasis(LstPoly,LstVar)Example:gbasis

342 Functions and commandsLegendre Returns the Legendre polynomial of degree n.legendre(Intg(n))Example:legendre(4) gives 35*x^4/8+-15*x^2/4+3/8Chebys

Functions and commands 343ODE Draws the solution of the differential equation y'=f(t,y) that crosses the point (t0,y0), where the first argument

344 Functions and commandsEXTREMUM Extremum of a function. Finds the extremum (if one exists) of the function Fn that is closest to the X-value guess.

Functions and commands 345Example:SOLVE(X2-X-2,X,3)returns 2This function also returns an integer that is indicative of the type of solution found, as

Getting started 31Page 1Setting Options Angle Measure Degrees: 360 degrees in a circle.Radians: 2 radians in a circle.The angle mode you set is the a

346 Functions and commandsFor example: =STAT1(A25:A37) produces the following default output.However, if you just wanted to see the number of data-poi

Functions and commands 347AMORT Calculates the principal, interest, and balance of a loan over a specified period.AMORT(Range, n, i, pv, pmt[, ppyr=12

348 Functions and commands2 = Frequency data. Columns are used in pairs and the second column is treated as the frequency of appearance of the first c

Functions and commands 349contains the call to the STAT1 function, updating the data will not update the results as the cell that contains STAT1 is no

350 Functions and commands• Configuration: a string which indicates which values you want to place in which row and if you want row and columns header

Functions and commands 3515 y= int*sl^x 6 y= sl/x+int7 y= L/(1 + a*exp(b*x))8 y= a*sin(b*x+c)+d9 y= cx^2+bx+a10 y= dx^3+cx^2+bx+a 11 y= ex^4+dx^3+cx^2

352 Functions and commands• Input List: A list of input variables (see Input Parameters below). This can be a range reference, a list of cell referenc

Functions and commands 353• Input List: A list of input variables (see Input Parameters below). This can be a range reference, a list of cell referenc

354 Functions and commandsHypZ1prop The hypothesis test HypZ1prop is a one-proportion Z-test.HypZ1prop(input list, ["configuration"])HypZ1pr

Functions and commands 355HypZ2prop The hypothesis test HypZ2prop is a two-proportion Z-test for comparing means.HypZ2prop(input list, ["configur

32 Getting startedEntry Textbook: An expression is entered in much the same way as if you were writing it on paper (with some arguments above or below

356 Functions and commandsHypT1mean The hypothesis test HypT1mean is a one-sample T-test for comparing means.HypT1mean(input list, ["configuratio

Functions and commands 357HypT2mean The hypothesis test HypT2mean is a two-sample T-test for comparing means.HypT2mean(input list, ["configuratio

358 Functions and commands– ct – cX1– cX2 – stDConfZ1mean The ConfZ1mean calculates the confidence interval for a one-sample Z-test.ConfZ1mean(input l

Functions and commands 359• Input List: A list of input variables (see Input Parameters below). This can be a range reference, a list of cell referenc

360 Functions and commands• Configuration: A string that controls what results are shown and the order in which they appear. An empty string "&qu

Functions and commands 361– zXm– stdConfT1mean The ConfT1mean calculates the confidence interval for a one-sample T-test.ConfT1mean(input list, ["

362 Functions and commands• Input List: A list of input variables (see Input Parameters below). This can be a range reference, a list of cell referenc

Functions and commands 363Statistics 1Var app functionsThe Statistics 1Var app has three functions designed to work together to calculate summary stat

364 Functions and commandsPredY Predict Y. Uses the fit from the first active analysis (S1-S5) found to predict a y-value given the x-value.PredY(valu

Functions and commands 365HypZ1mean The hypothesis test HypZ1mean is a one-sample Z-test for comparing means.: HypZ1mean(SampMean, SampSize, NullPopMe

Getting started 33Page 2Decimal Mark Dot or Comma. Displays a number as 12456.98 (dot mode) or as 12456,98 (comma mode). Dot mode uses commas to separ

366 Functions and commands• Mode: Specifies how to calculate the statistic:– 1 = Less than– 2 = Greater than– 3 = Not equalHypT1mean The hypothesis te

Functions and commands 367ConfZ1prop The ConfZ1prop calculates the confidence interval for a one-proportion Z-test.ConfZ1prop(SuccCount, SampSize, Con

368 Functions and commands– CPYR—the number of compounding periods per year (12 by de faul t)– END—payments made at the end of the periodThe arguments

Functions and commands 369Linear Solver app functionsThe Linear Solver app has 3 functions that offer the user flexibility in solving 2x2 or 3x3 linea

370 Functions and commandsAAS AAS Uses the measure of two angles and the length of the non-included side to calculate the measure of the third angle a

Functions and commands 371Linear Explorer functionsSolveForSlope • Input: enter two coordinates of the line: x2, x1, y2, y1• Output: Slope of the line

372 Functions and commandsCHECK Checks—that is, selects—the Symbolic view variable Symbn. Symbn can be any of the following:• F0-F9—for the Function a

Functions and commands 373page 322. The functions and commands specific to the Geometry app are described in “Geometry functions and commands” on page

374 Functions and commands< Strict inequality test. Returns 1 if the inequality is true, and 0 if the inequality is false. Note that more than two

Functions and commands 375additionally Used in programming with assume to state an additional assumption about a variable.Example:assume(n,integer);ad

34 Getting startedPage 3 Page 3 of the Home Settings input form is for setting Exam mode. This mode enables certain functions of the calculator to be

376 Functions and commandsappend Appends an element to a list, sequence or set.append((Lst||Seq||Set,Elem)Example:append([1,2,3],4) gives [1,2,3,4]app

Functions and commands 377basis Returns the basis of the linear subspace defined by the set of vectors consisting of vector 1, vector 2,..., and vecto

378 Functions and commandscenter Displays a circle with its center indicated.center(Crcle)Example:center(circle(x^2+y2–x–y)) gives point(1/2,1/2)cFact

Functions and commands 379col Returns the column of index n of a matrix.col(Mtrx,n)Example:col([[1,2,3],[4,5,6],[7,8,9]],1) gives [2,5,8]colDim Return

380 Functions and commandstwo arguments, but only for those roots lying in the rectangle with sides parallel to the axis having complex a and complex

Functions and commands 381convexhull Returns the convex hull of a list of two-dimensional points.convexhull(Lst)Example:convexhull(0,1,1+i,1+2i,-1-i,1

382 Functions and commandscpartfrac Returns the result of partial fraction decomposition of a rational fraction in the complex field. cpartfrac(RatFra

Functions and commands 383delcols Returns the matrix that is matrix A with the columns n1...nk deleted.delcols(Mtrx(A),Interval(n1...nk)||n1)Example:d

384 Functions and commandse Enters the mathematical constant e (Euler’s number).egcd Returns three polynomials U, V and D such that for two polynomial

Functions and commands 385ellipse With three points (F1, F2, and M) as arguments, draws an ellipse with foci at F1 and F2 that passes though M. With t

Getting started 351. Press SH (Settings) to open the Home Settings input form.The Angle Measure field is highlighted.2. Tap on Number Format (either t

386 Functions and commandsexact Converts an irrational expression to a rational or real expression.exact(Expr)Example:exact(1.4141) gives 14141/10000

Functions and commands 387EXPR Parses the string str into a number or expression.expr (str)Examples: expr("2+3") returns 5. expr("X+10&

388 Functions and commandsfMax Returns the value of the abscissa at the maximum value of an expression. Without a second argument, it is assumed that

Functions and commands 389fsolve Returns the numerical solution of an equation or a system of equations. With the optional third argument you can spec

390 Functions and commandsgramschmidt For a basis B of a vector subspace, and a function Sp that defines a scalar product on this vector subspace, ret

Functions and commands 391harmonic_division With three points and a variable as arguments, returns four points that are in a harmonic division. With t

392 Functions and commandshyp2exp Returns an expression with hyperbolic terms rewritten as exponentials.hyp2exp(ExprHyperb)Example:hyp2exp(cosh(x)) gi

Functions and commands 393icosahedron Draws an icosahedron with center A, vertex B and such that the plane ABC contains one vertex among the five near

394 Functions and commandsilaplace Returns the inverse Laplace transform of a rational fraction.ilaplace(Expr,[Var],[IlapVar])Example:ilaplace(1/(x^2+

Functions and commands 395iPart Returns a real number without its fractional part or a list of real numbers each without its fractional part.iPart(Rea

36 Getting startedNote that the HP Prime represents all numbers smaller than 1 × 10–499 as zero. The largest number displayed is 9.99999999999 × 10499

396 Functions and commandsExample:isosceles_triangle(GA,GB,angle(GC,GA,GB) defines an isosceles triangle such that one of the two sides of equal lengt

Functions and commands 397lgcd Returns the greatest common divisor of a list of integers or polynomials.lgcd(Seq or Lst)Example:lgcd([45,75,20,15]) gi

398 Functions and commandslist2mat Returns a matrix of n columns made by splitting a list into rows each containing n terms. If the number of elements

Functions and commands 399logarithmic_regressionReturns the coefficients a and b of y=a*ln(x)+b, where y is the natural logarithm that best approximat

400 Functions and commandsmat2list Returns the list of the terms of a matrix.mat2list(Mtrx)Example:mat2list([[1,8],[4,9]]) gives [1,8,4,9]matpow Calcu

Functions and commands 401median_line Draws the median line through A of the triangle ABC. median_line((Pnt or Cplx(A)),(Pnt or Cplx(B)),(Pnt or Cplx(

402 Functions and commandsmRow Multiplies the row n1 of the matrix A by an expression.mRow(Expr,Mtrx(A),Intg(n1))Example:mRow(12,[[1,2],[3,4],[5,6]],0

Functions and commands 403normal Returns the expanded irreducible form of an expression.normal(Expr)Example:normal(2*x*2) gives 4*xnormalize Returns a

404 Functions and commandsorthocenter Shows the orthocenter of the triangle made with three points.orthocenter((Pnt or Cplx),(Pnt or Cplx),(Pnt or Cpl

Functions and commands 405Example:parabola(GA,GB) draws a parabola whose focus is point A and whose directrix is line Bparallel With a point and a lin

Getting started 37expression (as in the example above) in two steps, one for each operator:Step 1: 5 h – the natural logarithm of 5 is calculated and

406 Functions and commandsperpen_bisector Draws the bisection (line or plane) of the segment AB.perpen_bisector((Pnt or Cplx(A)),(Pnt or Cplx(B)))Exam

Functions and commands 407plane With three points as arguments, draws the plane made by the three points. With a point and a line as arguments, draws

408 Functions and commandspolar_point Returns the point with polar coordinates r and t. polar_point(Real(r),Real(t))pole Returns the point for which t

Functions and commands 409polynomial_regressionReturns the coefficients (an,...a1,a0) of y=an*x^n+..a1x+a0), where y is the nth order polynomial which

410 Functions and commandsprepend Adds an element to the beginning of a list.prepend(Lst,Elem)Example:prepend([1,2],3) gives [3,1,2]primpart Returns a

Functions and commands 411purge Unassigns a variable name.purge(Var)pyramid With three points as arguments, draws the pyramid with a face in the plane

412 Functions and commandsquartiles Returns the minimum, first quartile, median, third quartile, and maximum of the elements of a list or the columns

Functions and commands 413reciprocation Returns the list where the point is replaced with its polar and the line is replaced with its pole with respec

414 Functions and commandsreflection With a line (D) and a point (C) as arguments, returns the reflection of the point across the line (i.e. the line

Functions and commands 415revlist Returns a list with the elements in reverse order.revlist(Lst)Example:revlist([1,2,3]) gives [3,2,1]rhombus With two

38 Getting startedExample Calculate R23jw14 Sj8>>nQ3>h45EThis example illustrates a number of important points to be aware of:• the importanc

416 Functions and commandsrow Returns the row n or the sequence of the rows n1...n2 of the matrix A.row(Mtrx(A),Intg(n)||Interval(n1..n2))Example:row(

Functions and commands 417select Returns a list with only the elements that satisfy the Boolean function remaining. select(FncBool(f),Lst(l))Example:s

418 Functions and commandssimilarity With two points (B and A), a real (k) and an angle (a1) as arguments, returns a point that is the point similar t

Functions and commands 419slopeat Displays the value at point z0 of the slope of the line or segment d. A legend is provided.slopeat(Line,Pnt||Cplx(z0

420 Functions and commandsstddevp Returns the population standard deviation of the elements in a list or returns the list of standard deviations of th

Functions and commands 421sylvester Returns the Sylvester matrix of two polynomials.sylvester(Poly,Poly,Var)Example:sylvester(x^2-1,x^3-1,x) gives [[1

422 Functions and commandsTO Used in programming in a loop when expressing the range of values of a variable for which a statement should be executed.

Functions and commands 423UFACTOR Factorizes a unit in a unit object.ufactor(Unit,Unit)unapply Returns the function defined by an expression and a var

424 Functions and commandsvpotential Returns U such as curl(U)=V.vpotential(Vect(V),LstVar)Example:vpotential([2*x*y+3,x^2-4*z,-2*y*z],[x,y,z]) gives

Functions and commands 425 Inserts a less-than-or-equal-to sign. Inserts a greater-than-or-equal-to sign. Evaluates the expression then stores the

Getting started 39Algebraic precedenceThe HP Prime calculates according to the following order of precedence. Functions at the same level of precedenc

426 Functions and commands4. Make sure that A and B are selected and C is not.5. Tap .You can run your function by entering it on the entry line in Ho

Variables 42722VariablesVariables are placeholders for objects (such as function definitions, numbers, matrices, the results of calculations, and the

428 VariablesTo assign an object to a built-in variable, it is important that you choose a variable that matches the type of object. For example, you

Variables 429degrees by entering 1 HAngle E in Home view. Entering 0 HAngle E forces the setting to return to radians.Retrieving variables You can

430 VariablesIf you attempt to retrieve a variable that is used in more than one app by entering just its name in Home view, you will get the value th

Variables 431Home variablesThe Home variables are accessed by pressing a and tapping .Category Names Real A to Z and For example, 7.45 AComplex Z0

432 VariablesApp variablesThe app variables are accessed by pressing a and tapping . They are grouped below by app. (You can find then grouped by vie

Variables 433Geometry app variablesSpreadsheet app variablesSolve app variablesCategory NamesNumeric XMinYMinXMaxModes AAngleAComplexADigitsAFormatCat

434 VariablesAdvanced Graphing app variablesCategory NamesSymbolic S1S2S3S4S5S6S7S8S9S0Plot AxesCursorGridDotsGridLinesLabelsMethodRecenterXmaxXminXti

Variables 435Statistics 1Var app variablesCategory NamesResults [explained below]NbItemMinQ1MedQ3MaxXX2MeanXsXXserrXSymbolic H1H2H3H4H5H1TypeH2Type

40 Getting startedLarge results If the result is too long or too tall to be seen in its entirety—for example, a many-rowed matrix—highlight it and the

436 VariablesResultsNbItem Contains the number of data points in the current 1-variable analysis (H1-H5).Min Contains the minimum value of the data se

Variables 437Statistics 2Var app variablesCategory NamesResults[explained below]NbItemCorrCoefDetsCovCovXYMeanXXX2sXXserrXMeanYYY2sYYserrYSymb

438 VariablesResultsNbItem Contains the number of data points in the current 2-variable analysis (S1-S5).Corr Contains the correlation coefficient fro

Variables 439Y Contains the sum of the dependent values (Y) of the current 2-variable statistical analysis (S1-S5).Y2 Contains the sum of the square

440 VariablesResultsCritScore Contains the value of the Z- or t-distribution associated with the input -valueCritVal1 Contains the lower critical val

Variables 441Parametric app variablesCategory Names Symbolic X1Y1X2Y2X3Y3X4Y4X5Y5X6Y6X7Y7X8Y8X9Y9X0Y0Plot AxesCursorGridDotsGridLinesLabelsMethodRecen

442 VariablesPolar app variablesFinance app variablesCategory Names Symbolic R1R2R3R4R5R6R7R8R9R0Plot minmaxstepAxesCursorGridDotsGridLinesLabelsMe

Variables 443Linear Solver app variablesTriangle Solver app variablesLinear Explorer app variablesQuadratic Explorer app variablesCategory NamesNumeri

444 VariablesTrig Explorer app variablesSequence app variablesCategory NamesModes AAngleAComplexADigitsAFormatCategory Names Symbolic U1U2U3U4U5U6U7U8

Units and constants 44523Units and constantsUnitsA unit of measurement—such as inch, ohm, or Becquerel—enables you to give a precise magnitude to a ph

Getting started 41To reuse the last resultPress S+ (Ans) to retrieve your last answer for use in another calculation. Ans appears on the entry line. T

446 Units and constantsPrefixes The Units menu includes an entry that is not a unit category, namely, Prefix. Selecting this option displays a palette

Units and constants 447Example Suppose you want to add 20 centimeters and 5 inches and have the result displayed in centimeters.1. If you want the res

448 Units and constants4. Now convert the result to kilometers per hour.SFSelect SpeedSelect km/hEThe result is shown as 0.2943 kilometers per hour.Un

Units and constants 449UFACTOR Unit factor conversion. Converts a measurement using a compound unit into a measurement expressed in constituent units.

450 Units and constants3. Select Physics.4. Select c: 299792458.5. Square the speed of light and evaluate the expression. jE Value or measurement?You

Units and constants 451List of constantsCategory Name and symbolMatheMAXREALMINREALiChemistryAvogadro, NABoltmann, kmolar volume, Vmuniversal gas, Rs

452 Units and constants

Lists 45324ListsA list consists of comma-separated real or complex numbers, expressions, or matrices, all enclosed in braces. A list may, for example,

454 Lists2. Tap on the name you want to assign to the new list (L1, L2, etc.). The list editor appears.If you’re creating a new list rather than chang

Lists 455The List EditorThe List Editor is a special environment for entering data into lists. There are two ways to open the List Editor once the Lis

42 Getting started3. Press E repeatedly. Each time you press, the root is twice the previous root. The last answer shown in the illustration at the ri

456 ListsTo edit a list 1. O p e n t h e Li s t Catalog.Sp(List)2. Tap on the name of the list (L1, L1,etc.). The List Editor appears. 3. Tap on th

Lists 457Select L1(2), that is, the second element in the list. 9 Deleting listsTo delete a list In the List Catalog, use the cursor keys to highlight

458 Lists4. When you have finished entering the elements, press E. The list is added to History (with any expressions among the elements evaluated).To

Lists 459To send a list You can send lists to another calculator or a PC just as you can apps, programs, matrices, and notes. See “Sharing data” on pa

460 ListsMenu format By default, a List function is presented on the Math menu using its descriptive name, not its common command name. Thus the short

Lists 461Reverse Creates a list by reversing the order of the elements in a list.REVERSE(list)Example:REVERSE({1,2,3}) returns {3,2,1}Concatenate Conc

462 ListsExample:In Home view, store {3,5,8,12,17,23} in L5 and find the first differences for the list.Sq3,5,8,12,17,23> A j 5EDSelect ListSelect

Lists 4631. In Home view, create L1.S q 88, 90, 89, 65, 70,89 > Aj1E2. In Home view, store L1 in D1. Aj1 Ad1EYou will now be able to see the list

464 Lists5. Calculate the statistics.M 6. Tap when you are done.See the chapter 10, “Statistics 1Var app”, beginning on page 209, for the meaning of

Matrices 46525MatricesYou can create, edit, and operate on matrices and vectors in the Home view, CAS, or in programs. You can enter matrices directly

Getting started 43A message appears asking if you want to create a variable called ME. Tap or press E to confirm your intention. You can now use tha

466 MatricesCreating and storing matricesThe Matrix Catalog contains the reserved matrix variables M0-M9, as well as any matrix variables you have cre

Matrices 467Working with matricesTo open the Matrix EditorTo create or edit a matrix, go to the Matrix Catalog, and tap on a matrix. (You could also u

468 MatricesTo create a matrix in the Matrix Editor1. Open the Matrix Catalog:St(Matrix)2. If you want to create a vector, press = or \ until the matr

Matrices 4691. P r e s s S u ([]) to start a vector or matrix. The matrix template will appear, as shown in the figure to the right.2. Enter a value

470 Matricesdevise to store a vector or matrix. The new variable will appear in the Vars menu under .The screen at the right shows the matrixbeing st

Matrices 471second column of M5 to 728 and then display the resulting matrix:728 AQ5 R1o 2 EAn attempt to store an element to a row or column beyond t

472 Matrices3. Select the second matrix:St (Matrix)Tap M2 or highlight it and press E.4. Enter the matrix elements:5 E 6 E 7 E 8 E5. In Home view, add

Matrices 473To raise a matrix to a powerYou can raise a matrix to any power as long as the power is an integer. The following example shows the result

474 MatricesTo invert a matrix You can invert a square matrix in Home view by typing the matrix (or its variable name) and pressing SnE. You can also

Matrices 4753. Return to the Matrix Catalog.StThe size of M1 should be showing as 3.4. Select and clear M2, and re-open the Matrix Editor:[Press \ or

44 Getting startedalso assign a complex number to a variable you create yourself.To store a complex number in a variable, enter the complex number, pr

476 MatricesMatrix functions and commandsFunctions Functions can be used in any app or in Home view. They are listed on the Math menu under the Matrix

Matrices 477Argument conventions• For row# or column#, supply the number of the row (counting from the top, starting with 1) or the number of the colu

478 Matricesby the number of elements (e) instead of the number of rows and columns.MAKEMAT(expression, rows, columns)MAKEMAT(expression, elements)Exa

Matrices 479Hilbert Given a positive integer, n, returns the nth order Hilbert matrix. Each element of the matrix is given by the formula 1/(j+k-1) wh

480 MatricesRow Norm Row Norm. Finds the maximum value (over all rows) for the sums of the absolute values of all elements in a row.ROWNORM(matrix)Exa

Matrices 481Rank Rank of a rectangular matrix. RANK(matrix)Example:RANK returns 2Pivot Given a matrix, a row number n, and a column number, m, uses G

482 MatricesEigenvectors Eigenvectors and eigenvalues for a square matrix. Displays a list of two arrays. The first contains the eigenvectors and the

Matrices 483Hermite Hermite normal form of a matrix with coefficients in Z: returns U,B such that U is invertible in Z, B is upper triangular and B=U*

484 MatricesFactorizeLQ LQ Factorization. Factorizes a m × n matrix into three matrices L, Q, and P, where {[L[m × n lowertrapezoidal]],[Q[n × n ortho

Matrices 485QR QR Factorization. Factorizes an m×n matrix A numerically as Q*R, where Q is an orthogonal matrix and R is an upper triangular matrix, a

Getting started 45Program Catalog for programs, and the Notes Catalog for notes.2. Connect the USB cable between the two calculators.The micro-A conne

486 MatricesSVL Singular Values. Returns a vector containing the singular values of matrix.SVL(matrix)Example:SVL returns VectorCross Product Cross

Matrices 487Max Norm Returns the l∞ norm (the maximum of the absolute values of the coordinates) of a vector. maxnorm(Vect or Mtrx)Example:maxnorm r

488 Matriceswhich can then be stored as a real matrix in any matrix variable. M1 is used in this example.You can then use the RREF function to chang

Notes and Info 48926Notes and InfoThe HP Prime has two text editors for entering notes:• The Note Editor: opens from within the Note Catalog (which is

490 Notes and InfoThe Note EditorThe Note Editor is where you create and edit notes. You can launch the Note Editor from the Notes Catalog, and also f

Notes and Info 4912. Create a new note.3. Enter a name for your note. In this example, we’ll call the note MYNOTE.AA MYNOTE 4. Write your note, using

492 Notes and InfoNote Editor: buttons and keysThe following buttons and keys are available while you are adding or editing a note.Button or Key Purpo

Notes and Info 493Entering uppercase and lowercase characters The following table below describes how to quickly enter uppercase and lowercase charact

494 Notes and InfoThe left side of the notification area of the title bar will indicate what case will be applied to the character you next enter.Text

Notes and Info 495Inserting mathematical expressionsYou can insert a mathematical expression in textbook format into your note, as shown in the figure

Contents 1ContentsPrefaceManual conventions ... 9Notice ...

46 Getting started

496 Notes and InfoTo import a note You can import a note from the Note Catalog into an app’s Info view and vice versa.Suppose you want to copy a note

Programming 49727Programming This chapter describes how to program the HP Prime. In this chapter you’ll learn about:• programming commands• writing fu

498 ProgrammingSome built-in commands employ an alternative syntax whereby function arguments do not appear in parentheses. Examples include RETURN an

Programming 499Open the Program CatalogPress Sx Program) to open the Program Catalog.The Program Catalog displays a list of program names. The first i

500 ProgrammingSave creates a copy of the selected program with a new name you are prompted to give.Rename renames the selected program.Sort sorts the

Programming 501Creating a new program1. Open the Program Catalog and start a new program.Sx(Program)2. Enter a name for the program.AA (to lock alpha

502 Programmingsymbols, mathematical functions, units, or characters, use the keyboard keys. Program Editor: buttons and keysThe buttons and keys in t

Programming 503Opens a menu from which you can select common programming commands. The commands are grouped under the options:• Block• Branch• Loop• V

504 Programming1. To c o n t i n u e t h e MYPROGRAM example (which we began on page 501), use the cursor keys to position the cursor where you wan

Programming 505Notice that a FOR_FROM_TO_DO_ template is inserted. All you need do is fill in the missing information.4. Using the cursor keys and key

Reverse Polish Notation (RPN) 472Reverse Polish Notation (RPN)The HP Prime provides you with three ways of entering objects in Home view:• TextbookAn

506 ProgrammingRun a ProgramFrom Home view, enter the name of the program. If the program takes parameters, enter a pair of parentheses after the prog

Programming 507Multi-function programsIf there is more than one EXPORT function in a program, when is tapped a list appears for you to choose which

508 ProgrammingThe current value of each variable is visible in the main body of the screen. The following menu buttons are available in the debugger:

Programming 509The buttons and keys you can use to edit your program are listed in “Program Editor: buttons and keys” on page 502.Copy a program or pa

510 ProgrammingDelete a programTo delete a program:1. Open the Program Catalog.Sx 2. Highlight a program to delete and press C.3. At the prompt, tap

Programming 511The HP Prime programming languageVariables and visibility Variables in an HP Prime program can be used to store numbers, lists, matrice

512 Programming(that is, on a line above the program name) would be EXPORT RADIUS. Then, if a value is assigned to RADIUS, the name appears on the var

Programming 513different values. You do likewise to declare a local variable in a program: specify the name of the program, followed by the dot, and t

514 ProgrammingProgram ROLLMANYAnother program could use the ROLLDIE function, and generate n rolls of a die with any number of sides. In the followin

Programming 515In this scenario, assume there is no ROLLDIE function exported from another program. Instead, ROLLDIE is visible only to ROLLMANY. The

48 Reverse Polish Notation (RPN)The same entry-line editing tools are available in RPN mode as in algebraic and textbook mode:• Press C to delete the

516 ProgrammingUser mode There are two user modes:• Temporary user mode: the next key press, and only the next, enters the object you have assigned to

Programming 517You can even get the program to return user-defined functions as well as system functions, and user-defined variables as well as system

518 ProgrammingcK_Abc KS_Abc KA_Abc KSA_AbcAK_Alpha KS_Alpha KA_Alpha KSA_AlphaIK_Apps KS_Apps KA_Apps KSA_AppsCK_Bksp KS_Bksp KA_Bksp KSA_BkspoK_Comm

Programming 519App programsAn app is a unified collection of views, programs, notes, and associated data. Creating an app program allows you to redefi

520 ProgrammingUsing dedicated program functionsThese programs are run when the keys shown in the table below are pressed. These program functions are

Programming 521Customizing an appWhen an app is active, its associated program appears as the first item in the Program Catalog. It is within this pro

522 Programming1. In the Application Librray, select the Statistics 1Var app but don’t open it.I Select Statistics 1Var.2. Tap . 3. Enter a name for t

Programming 523Plot view. These views will be activated by pressing M and P, but the functions Num and Plot in our app program will actually launch th

524 ProgrammingINPUT(SIDES,"Die Sides","N=","ENTER num sides",2);FLOOR(SIDES)SIDES;IF SIDES<2 THENMSGBOX("Must

Programming 525The program DICESIMVARSEXPORT ROLLS,SIDES;EXPORT DICESIMVARS()BEGIN10  ROLLS;6  SIDES;END;Press V to see the custom app menu. Here yo

Reverse Polish Notation (RPN) 49bottom. In RPN mode, your history is ordered chronologically by default, but you can change the order of the items in

526 ProgrammingIf you entered SQM1(8) in Home view, the result returned would be 63.RETURN Syntax: RETURN expression;Returns the current value of expr

Programming 527IFERR IFERR commands1 THEN commands2 END;Executes sequence of commands1. If an error occurs during execution of commands1, executes seq

528 ProgrammingIn Home, enter MAXFACTORS(100) .FOR STEP Syntax: FOR var FROM start TO finish [STEP increment] DO commands END;Sets variable var to sta

Programming 529FOR DOWN STEP Syntax: FOR var FROM start DOWNTO finish [STEP increment] DO commands END;Sets variable var to start, and for as long as

530 ProgrammingREPEAT Syntax: REPEAT commands UNTIL test;Repeats the sequence of commands until test is true (not 0).The example below prompts for a p

Programming 531FunctionThese commands enable you to control the visibility of a user-defined function.EXPORT Export. Syntax: EXPORT FunctionName()Expo

532 ProgrammingDIM Syntax: dim (str)Returns the number of characters in string str.Example: dim("12345") returns 5, dim("""&q

Programming 533RIGHT Syntax: right (str,n)Returns the last n characters of string str. If n <= 0, returns empty string. If n > –dim(str), return

534 ProgrammingDrawingThere are 10 built-in graphics variables in the HP Prime, called G0–G9. G0 is always the current screen graphic.G1 to G9 can be

Programming 535Pixels and CartesianARC_PARC Syntax; ARC(G, x, y, r [ , a1, a2, c]) ARC_P(G, x, y, r [ , a1, a2, c])Draws an arc or circle on G, center

50 Reverse Polish Notation (RPN)If there are no entries in history and you enter an operator or function, an error message appears. An error message w

536 Programmingdx1, dy1 are optional and if not specified will be the top left of trgtGRB.c can be an color specified as #RRGGBB. If it is not specifi

Programming 537GROBW_PGROBW Syntax: GROBW(G) GROBW_P(G)Returns the width of G.G can be any of the graphics variables and is optional. The default is G

538 ProgrammingPIXON_PPIXON Syntax: PIXON([G], x, y [ ,color])PIXON_P([G], x, y [ ,color])Sets the color of the pixel G with coordinates x,y to color.

Programming 539EXPORT BOX()BEGINRECT();RECT_P(40,90,#000000);FREEZE;END;The program below also uses the RECT_P command. In this case, the pair of argu

540 ProgrammingTEXTOUT_PTEXTOUT Syntax: TEXTOUT(text [ ,G], x, y [ ,font, c1, width, c2]) TEXTOUT_P(text [ ,G], x, y [ ,font, c1, width, c2])Draws tex

Programming 541TEXTOUT_P(A ,90,30,2, #000000,100,#99CC33);sign*-1  sign;K+1 K;UNTIL 0;END;The program executes until the user presses O to terminate

542 ProgrammingDELROW Syntax: DELROW(name ,row_number)Deletes row row_number from matrix name.EDITMAT Syntax: EDITMAT(name)Starts the Matrix Editor an

Programming 543SAWAPCOL Syntax: SWAPCOL (name, column1, column2)Swaps column1 and column2 of the specified matrix (name).SWAPROW Syntax: SWAPROW(name,

544 ProgrammingThe special views in parentheses refer to the Function app, and may differ in other apps. The number of a special view corresponds to i

Programming 545Examples:BITSL(28,2) returns 112BITSL(5) returns 10.BITSR Syntax: BITRL(int1 [,int2])Bitwise Shift Right. Takes one or two integers as

Reverse Polish Notation (RPN) 51Manipulating the stackA number of stack-manipulation options are available. Most appear as menu items across the botto

546 ProgrammingR→B Syntax: R→B(integer)Converts a decimal integer (base 10) to an integer in the default base. Example: R→B(13) returns #1101b (if the

Programming 547Example:CHOOSE(N,"PickHero","Euler","Gauss","Newton"); IF N==1 THEN PRINT("You picked Eule

548 ProgrammingINPUT Syntax: INPUT(var [,"title", "label", "help", default]);Opens a dialog box with the title text titl

Programming 549ISKEYDOWN Syntax: ISKEYDOWN(key_id); Returns true (non-zero) if the key whose key_id is provided is currently pressed, and false (0) if

550 ProgrammingPRINT Syntax: PRINT(expression or string);Prints the result of expression or string to the terminal.The terminal is a program text outp

Programming 551More%CHANGE Syntax: %CHANGE(x,y)The percentage change in going from x to y.Example: %CHANGE(20,50) returns 150.%TOTAL Syntax: %TOTAL(x,

552 ProgrammingEXECON can also operate on more than one list. For example:EXECON("&1+&2",{1,2,3},{4,5,6}) returns {5,7,9}In the exam

Programming 553TIME Syntax: TIME(program_name)Returns the time in milliseconds required to execute the program program_name. The results are stored in

554 ProgrammingUser variables are variables created by the user or exported from a user program. They provide one of several mechanisms to allow progr

Programming 555In a program, type:0  CrossType—for solid crosshairs (default).1  CrossType—to invert the crosshairs.2  CrossType—for blinking cross

52 Reverse Polish Notation (RPN)DUPN Duplicates all items between (and including) the highlighted item and the item on stack level 1. If, for example,

556 ProgrammingMethod Defines the graphing method: adaptive, fixed-step segments, or fixed-step dots. (See “Graphing methods” on page 99 for an explan

Programming 557min/maxPolarSets the minimum and maximum independent values. In Plot Setup, View enter values for RNG.In a program, type: min m

558 ProgrammingXmin/Xmax Sets the minimum and maximum horizontal values of the plot screen. In Plot Setup View, enter values for XRNG.In a program, ty

Programming 559Symbolic view variablesAltHypInferenceDetermines the alternative hypothesis used for a hypothesis testing. Choose an option from the Sy

560 ProgrammingMethodInferenceDetermines whether the Inference app is set to calculate hypothesis test results or confidence intervals.In a program, t

Programming 561TypeInferenceDetermines the type of hypothesis test or confidence interval. Depends upon the value of the variable Method. Make a selec

562 ProgrammingD0...D9Statistics 1VarD0 through D9, for columns of data. Can contain lists.Enter data in the Numeric view.In a program, type:LIST  Dn

Programming 563NumXStepAdvanced GraphingSets the step size (increment value) for an independent X variable in Numeric view.From Numeric Setup view, en

564 ProgrammingInference app variablesThe following variables are used by the Inference app. They correspond to fields in the Inference app Numeric vi

Programming 565where n1 Sets the size of the sample for a hypothesis test or confidence interval. For a test or interval involving the difference of

Computer algebra system (CAS) 533Computer algebra system (CAS)A computer algebra system (CAS) enables you to perform symbolic calculations. By default

566 Programmings2 For a test or interval involving the difference of two means or two proportions, sets the sample standard deviation of the second sa

Programming 567CPYR Compounding periods per year. Sets the number of compounding periods per year for a cash flow calculation. From the Numeric view o

568 ProgrammingPMT Payment value. Sets the value of each payment in a cash flow. From the Numeric view of the Finance app, enter a value for PMT.In a

Programming 569where matrix is either a matrix or the name of one of the matrix variables M0-M9.Size Contains the size of the linear system. From the

570 ProgrammingIn a program, type:AngleA where AngleB The measure of angle . Sets the measure of angle . The value of this variable will be interpr

Programming 571In a program, type:0  HAngle—for Degrees.1  HAngle—for Radians.HDigits Sets the number of digits for a number format other than Stand

572 ProgrammingIn a program, store one of the following constant numbers into the variable Language:1  Language (English)2  Language (Chinese)3  La

Programming 573AAngle Sets the angle mode. From Symbolic setup, choose System, Degrees, or Radians for angle measure. System (default) will force the

574 ProgrammingIn a program, store the constant number (or its name) into the variable AFormat.0 System 1 Standard2 Fixed3 Scientific4 EngineeringExam

Basic Integer arithmetic 57528Basic Integer arithmeticThe common number base used in contemporary mathematics is base 10. By default, all calculations

54 Computer algebra system (CAS)The menu buttons in CAS view are:• : assigns an object to a variable• : applies common simplification rules to reduce

576 Basic Integer arithmeticrepresents 22810. In this case, the base marker h indicates that the number is to interpreted as a hexadecimal number: E41

Basic Integer arithmetic 577Note that if you change the default base, any calculation in history that involves integer arithmetic for which you did no

578 Basic Integer arithmeticExamples of integer arithmeticThe operands in integer arithmetic can be of the same base or of mixed bases. Mixed-base ari

Basic Integer arithmetic 579Integer manipulationThe result of integer arithmetic can be further analyzed, and manipulated, by viewing it in the Edit I

580 Basic Integer arithmeticby 0. The new integer represented appears in the Out field (and in the hex and decimal fields below it).: activates edit m

Glossary 581Appendix AGlossaryapp A small application, designed for the study of one or more related topics or to solve problems of a particular type.

582 Glossarycommand An operation for use in programs. Commands can store results in variables, but do not display results.expression A number, variab

Glossary 583matrix A two-dimensional array of real or complex numbers enclosed by square brackets. Matrices can be created and manipulated by the Matr

584 Glossary

Troubleshooting 585Appendix BTroubleshootingCalculator not respondingIf the calculator does not respond, you should first try to reset it. This is muc

Computer algebra system (CAS) 55Example 1 To find the roots of 2x2 + 3x – 2:1. With the CAS menu open, select Polynomial and then Find Roots.The funct

586 TroubleshootingOperating limitsOperating temperature: 0 to 45C (32 to 113F).Storage temperature: –20 to 65C (– 4 to 149F).Operating and st

Troubleshooting 587Syntax error The function or command you entered does not include the proper arguments or order of arguments. The delimiters (paren

588 Troubleshooting

Product Regulatory Information 589Appendix CProduct Regulatory InformationFederal Communications Commission NoticeThis equipment has been tested and f

590 Product Regulatory InformationDeclaration of Conformity for products Marked with FCC Logo, United States OnlyThis device complies with Part 15 of

Product Regulatory Information 591European Union Regulatory NoticeProducts bearing the CE marking comply with the follow-ing EU Directives:• Low Volta

592 Product Regulatory InformationJapanese NoticeKorean Class Notice Disposal of Waste Equipment by Users in Private Household in the European UnionTh

Product Regulatory Information 593Chemical Substances HP is committed to providing our customers with informa-tion about the chemical substances in ou

594 Product Regulatory Information

Index 595IndexAadapter 12adaptive graphing 99Advanced Graphing app 69, 125–134Plot Gallery 134trace options 129variables, summary of 434algebra functi

2 Contents3 Computer algebra system (CAS)CAS view ...53CAS calculations ...

56 Computer algebra system (CAS)Page 1Setting PurposeAngle Measure Select the units for angle measure-ments: Radians or Degrees.Number Format (first d

596 Indexbuttonscommand 20menu 20See also menu buttonsCcables 44calculationsCAS 54, 322–343confidence intervals 251financial 285–292geometric 150in Ho

Index 597decimal mark 33decimal zoom 90, 93, 102default settings, restoring 21, 87, 100, 106define your own fit 230degree symbol 21deletingapps 72char

598 Indexkeyboard 307–310Linear Explorer 371Linear Solver 369number 311–312plot 342–343polynomial 337–342probability 315–320rewrite 330–334solve 328–3

Index 599Inference app 69, 237–255confidence intervals 251–255functions 364–367hypothesis tests 243–250importing statistics 241variablesNumeric 564Res

600 Indexmatrix calculations 465negating elements 474raised to a power 473reduced-row echelon 487singular value decomposition 486storing 466, 469, 470

Index 601permutations 316physical constants 449physics constants 451pinch 17pixels 18plotbox-and-whisker 218cobweb 279color of 85defined in Geometry a

602 Indexseconds symbol 21seed value 257, 261sending See data sharingSequence app 70, 279–284graph types 279variables 444settings 30, 431CAS 30, 55sha

Index 603Ttables, custom 103template key 24templates 20test mode See exam modetext 23textbook entry 32, 33, 36, 47theme 34time 16, 34time-value-of-mon

604 Indexvectorsdefinition of 465, 583See Also matricesviewsdefinition of 583in apps 72Numeric 77Numeric Setup 78Plot 74Plot Setup 76Symbolic 73Symbol

Computer algebra system (CAS) 57Page 2Complex Select this to allow complex results in variables.Use √If checked, second order polyno-mials are factori

58 Computer algebra system (CAS)Setting the form of menu itemsOne setting that affects the CAS is made outside the CAS Settings screen. This setting d

Computer algebra system (CAS) 59functions to be presented by their command name, deselect the Menu Display option on the second page of the Home Setti

60 Computer algebra system (CAS)

Exam Mode 614Exam ModeThe HP Prime can be precisely configured for an examination, with any number of features or functions disabled for a set period

62 Exam ModeModifying the default configurationA configuration named Default Exam appears when you first access the Exam Mode screen. This configurati

Exam Mode 63An expand box at the left of a feature indicates that it is a category with sub-items that you can individually disable. (Notice that ther

64 Exam Mode5. Tap , select Copy from the menu and enter a name for the new configuration.See “Adding text” on page 23 if you need help with entering

Exam Mode 65To activate exam mode:1. I f t h e Exam Mode screen is not showing, press SH, tap and tap .2. If a configuration other than Default Exa

Contents 36 Function appGetting started with the Function app ... 111Analyzing functions...

66 Exam Modemode, with the specified disabled features not accessible to the user of that calculator.9. Repeat from step 7 for each calculator that ne

Exam Mode 67To return to the default configuration1. P r e s s SH. The Home Settings screen appears.2. Tap .3. Tap .The Exam Mode screen appears.4.

68 Exam Mode

An introduction to HP apps 695An introduction to HP appsMuch of the functionality of the HP Prime is provided in packages called HP apps. The HP Prime

70 An introduction to HP appsAs you use an app to explore a lesson or solve a problem, you add data and definitions in one or more of the app’s views.

An introduction to HP apps 71With one exception, all the apps mentioned above are described in detail in this user guide. The exception is the DataStr

72 An introduction to HP appsYou can change the sort order of the built-in apps to:• AlphabeticallyThe app icons are sorted alphabetically by name, an

An introduction to HP apps 73mathematical object—such as an expression or an open sentence—plot it, and see the values generated by it.Each of these v

74 An introduction to HP appsSymbolic Setup viewThe Symbolic Setup view is the same for each app. It enables you to override the system-wide settings

An introduction to HP apps 75Geometry Create and manipulate geometric constructions.Inference View a plot of the test results.Linear Explorer Explore

4 ContentsPlot types ...217Setting up the plot (Plot Setup view)...

76 An introduction to HP appsPlot Setup viewThe table below outlines what is done in the Plot Setup view of each app.App Use the Plot Setup view to: A

An introduction to HP apps 77Numeric viewThe table below outlines what is done in the Numeric view of each app.App Use the Numeric view to: Advanced G

78 An introduction to HP appsNumeric Setup viewThe table below outlines what is done in the Numeric Setup view of each app.Triangle Solver Enter known

An introduction to HP apps 79Quick exampleThe following example uses all six app views and should give you an idea of the typical workflow involved in

80 An introduction to HP appsSymbolic Setup view4. Press SY.5. Select Radians from the Angle Measure menu.Plot view6. Press P.A graph of the equation

An introduction to HP apps 81Numeric ViewThe values generated by the equation can be seen in Numeric view.10. Press M.Suppose you want to see just who

82 An introduction to HP apps1. Highlight an empty field you want to use, either by tapping on it or scrolling to it. 2. Enter your definition. If you

An introduction to HP apps 83reads F1(X)=X2+Q. (Q is on the Real sub-menu of the Home menu.) Home variables are discussed in detail in chapter 28, “Tr

84 An introduction to HP apps• From the Catlg menu Some of the functions on the Catlg menu can be incorporated into a definition. The Catlg menu is on

An introduction to HP apps 85Choose a color for plotsEach function and open sentence can be plotted in a different color. If you want to change the de

Contents 515 Parametric appGetting started with the Parametric app ... 26916 Polar appGetting started with the Polar ap

86 An introduction to HP appsSymbolic view: Summary of menu buttonsButton PurposeCopies the highlighted definition to the entry line for editing. Tap

An introduction to HP apps 87Common operations in Symbolic Setup view [Scope: all apps]The Symbolic Setup view is the same for all apps. Its primary p

88 An introduction to HP appsCommon operations in Plot view Plot view functionality that is common to many apps is described in detail in this section

An introduction to HP apps 89Zoom keys There are two zoom keys: pressing + zooms in and pressing w zooms out. The extent of the scaling is determined

90 An introduction to HP appsBox zoom A box zoom enables you to zoom in on an area of the screen that you specify.1. With the Plot view menu open, tap

An introduction to HP apps 91Views menu The most commonly used zoom options are also available on the Views menu. These are:• Autoscale• Decimal• Inte

92 An introduction to HP appsNote that there is an Unzoom option on the Zoom menu. Use this to return a plot to its pre-zoom state. If the Zoom menu i

An introduction to HP apps 93Y Out Y OutSquare Square Notice that in this example, the plot on left has had a YIn zoom applied to it. The Square zoo

94 An introduction to HP appsTrig Trig Trace[Scope: Advanced Graphing, Function, Parametric, Polar, Sequence, Solve, Statistics 1 Var, and Statistics

An introduction to HP apps 952. If the menu at the bottom of the screen is not open, tap .3. If more than one definition is plotted, ensure that the t