HP NW280AAABA User manual

HP Prime Graphing Calculator

User Guide

Edition1

Part Number NW280-2001

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Printing History

Edition 1 July 2013

Contents 1

Contents

Preface

Manual conventions ................................................................ 9

Notice ................................................................................. 10

1 Getting started

Before starting ...................................................................... 11

On/off, cancel operations...................................................... 12

The display .......................................................................... 13

Sections of the display ...................................................... 14

Navigation........................................................................... 16

Touch gestures ................................................................. 17

The keyboard ....................................................................... 18

Context-sensitive menu ...................................................... 19

Entry and edit keys................................................................ 20

Shift keys......................................................................... 22

Adding text...................................................................... 23

Math keys ....................................................................... 24

Menus ................................................................................. 28

Toolbox menus................................................................. 29

Input forms ........................................................................... 29

System-wide settings .............................................................. 30

Home settings .................................................................. 30

Specifying a Home setting ................................................. 35

Mathematical calculations...................................................... 36

Choosing an entry type ..................................................... 36

Entering expressions ......................................................... 37

Reusing previous expressions and results ............................. 40

Storing a value in a variable.............................................. 42

Complex numbers ................................................................. 44

Sharing data ........................................................................ 44

Online Help ......................................................................... 46

2 Reverse Polish Notation (RPN)

History in RPN mode ............................................................. 48

Sample calculations............................................................... 49

Manipulating the stack........................................................... 51

3 Computer algebra system (CAS)

CAS view............................................................................. 53

CAS calculations................................................................... 54

Settings................................................................................ 55

2 Contents

4 Exam Mode

Modifying the default configuration.....................................62

Creating a new configuration.............................................63

Activating Exam Mode ...........................................................64

Cancelling exam mode......................................................66

Modifying configurations........................................................66

To change a configuration .................................................66

To return to the default configuration ...................................67

Deleting configurations ......................................................67

5 An introduction to HP apps

Application Library ................................................................71

App views ............................................................................73

Symbolic view ..................................................................73

Symbolic Setup view .........................................................74

Plot view..........................................................................75

Plot Setup view .................................................................76

Numeric view...................................................................77

Numeric Setup view ..........................................................78

Quick example......................................................................79

Common operations in Symbolic view......................................81

Symbolic view: Summary of menu buttons............................86

Common operations in Symbolic Setup view.............................87

Common operations in Plot view ............................................88

Zoom ..............................................................................88

Trace...............................................................................94

Plot view: Summary of menu buttons....................................96

Common operations in Plot Setup view.....................................96

Configure Plot view...........................................................96

Common operations in Numeric view ....................................100

Zoom ............................................................................100

Evaluating......................................................................102

Custom tables.................................................................103

Numeric view: Summary of menu buttons...........................104

Common operations in Numeric Setup view............................105

Combining Plot and Numeric Views.......................................106

Adding a note to an app......................................................106

Creating an app..................................................................107

App functions and variables .................................................109

Contents 3

6 Function app

Getting started with the Function app .................................... 111

Analyzing functions............................................................. 118

The Function Variables......................................................... 122

Summary of FCN operations ................................................ 124

7 Advanced Graphing app

Getting started with the Advanced Graphing app ................... 126

Plot Gallery ........................................................................ 134

Exploring a plot from the Plot Gallery................................ 134

8Geometry

Getting started with the Geometry app .................................. 135

Plot view in detail................................................................ 141

Plot Setup view............................................................... 146

Symbolic view in detail........................................................ 148

Symbolic Setup view....................................................... 150

Numeric view in detail ........................................................ 150

Geometric objects ............................................................... 153

Geometric transformations ................................................... 161

Geometry functions and commands....................................... 165

Symbolic view: Cmds menu ............................................. 165

Numeric view: Cmds menu.............................................. 182

Other Geometry functions................................................ 189

9 Spreadsheet

Getting started with the Spreadsheet app............................... 195

Basic operations ................................................................. 199

Navigation, selection and gestures ................................... 199

Cell references ............................................................... 200

Cell naming................................................................... 200

Entering content ............................................................. 201

Copy and paste ............................................................. 204

External references .............................................................. 204

Referencing variables...................................................... 205

Using the CAS in spreadsheet calculations ............................. 206

Buttons and keys ................................................................. 207

Formatting options .............................................................. 208

Spreadsheet functions.......................................................... 210

10 Statistics 1Var app

Getting started with the Statistics 1Var app ............................ 211

Entering and editing statistical data....................................... 215

Computed statistics.............................................................. 218

Plotting .............................................................................. 219

4 Contents

Plot types .......................................................................219

Setting up the plot (Plot Setup view)...................................221

Exploring the graph ........................................................221

11 Statistics 2Var app

Getting started with the Statistics 2Var app.............................223

Entering and editing statistical data .......................................228

Numeric view menu items ................................................229

Defining a regression model .................................................231

Computed statistics ..............................................................233

Plotting statistical data..........................................................234

Plot view: menu items ......................................................236

Plot setup .......................................................................236

Predicting values.............................................................237

Troubleshooting a plot .....................................................238

12 Inference app

Getting started with the Inference app....................................239

Importing statistics ...............................................................243

Hypothesis tests...................................................................245

One-Sample Z-Test ..........................................................246

Two-Sample Z-Test ..........................................................247

One-Proportion Z-Test ......................................................248

Two-Proportion Z-Test ......................................................249

One-Sample T-Test ..........................................................250

Two-Sample T-Test...........................................................251

Confidence intervals ............................................................253

One-Sample Z-Interval .....................................................253

Two-Sample Z-Interval......................................................253

One-Proportion Z-Interval .................................................254

Two-Proportion Z-Interval..................................................255

One-Sample T-Interval......................................................256

Two-Sample T-Interval ......................................................256

13 Solve app

Getting started with the Solve app .........................................259

One equation.................................................................260

Several equations ...........................................................263

Limitations......................................................................264

Solution information.............................................................265

14 Linear Solver app

Getting started with the Linear Solver app...............................267

Menu items.........................................................................269

Contents 5

15 Parametric app

Getting started with the Parametric app ................................. 271

16 Polar app

Getting started with the Polar app ......................................... 277

17 Sequence app

Getting started with the Sequence app .................................. 281

Another example: Explicitly-defined sequences ....................... 285

18 Finance app

Getting Started with the Finance app..................................... 287

Time value of money (TVM) .................................................. 290

TVM calculations: Another example....................................... 291

Calculating amortizations..................................................... 293

19 Triangle Solver app

Getting started with the Triangle Solver app ........................... 295

Choosing triangle types ....................................................... 297

Special cases ..................................................................... 298

20 The Explorer apps

Linear Explorer app............................................................. 299

Quadratic Explorer app....................................................... 302

Trig Explorer app................................................................ 304

21 Functions and commands

Keyboard functions ............................................................. 309

Math menu......................................................................... 313

Numbers ....................................................................... 313

Arithmetic...................................................................... 314

Trigonometry.................................................................. 316

Hyperbolic .................................................................... 317

Probability..................................................................... 317

List................................................................................ 322

Matrix........................................................................... 323

Special ......................................................................... 323

CAS menu.......................................................................... 324

Algebra ........................................................................ 324

Calculus ........................................................................ 326

Solve ............................................................................ 330

Rewrite.......................................................................... 332

Integer .......................................................................... 337

Polynomial..................................................................... 339

Plot............................................................................... 346

6 Contents

App menu ..........................................................................347

Function app functions.....................................................348

Solve app functions.........................................................349

Spreadsheet app functions ...............................................349

Statistics 1Var app functions.............................................363

Statistics 2Var app functions.............................................365

Inference app functions....................................................366

Finance app functions .....................................................372

Linear Solver app functions ..............................................374

Triangle Solver app functions ...........................................374

Linear Explorer functions ..................................................376

Quadratic Explorer functions ............................................377

Common app functions....................................................377

Ctlg menu...........................................................................378

Creating your own functions .................................................421

22 Variables

Qualifying variables ............................................................427

Home variables...................................................................428

App variables .....................................................................429

Function app variables ....................................................429

Geometry app variables ..................................................430

Spreadsheet app variables...............................................431

Solve app variables ........................................................431

Advanced Graphing app variables...................................432

Statistics 1Var app variables ............................................433

Statistics 2Var app variables ............................................435

Inference app variables ...................................................437

Parametric app variables .................................................439

Polar app variables.........................................................440

Finance app variables .....................................................440

Linear Solver app variables..............................................441

Triangle Solver app variables ...........................................441

Linear Explorer app variables...........................................441

Quadratic Explorer app variables.....................................441

Trig Explorer app variables ..............................................442

Sequence app variables ..................................................442

23 Units and constants

Units ..................................................................................443

Unit calculations ..................................................................444

Unit tools............................................................................446

Physical constants................................................................447

List of constants...............................................................449

Contents 7

24 Lists

Create a list in the List Catalog ............................................. 451

The List Editor................................................................. 453

Deleting lists ....................................................................... 455

Lists in Home view............................................................... 455

List functions ....................................................................... 457

Finding statistical values for lists............................................ 461

25 Matrices

Creating and storing matrices............................................... 464

Working with matrices......................................................... 465

Matrix arithmetic................................................................. 469

Solving systems of linear equations ....................................... 472

Matrix functions and commands............................................ 474

Matrix functions .................................................................. 475

Examples....................................................................... 486

26 Notes and Info

The Note Catalog ............................................................... 489

The Note Editor .................................................................. 490

27 Programming in HP PPL

The Program Catalog .......................................................... 498

Creating a new program ..................................................... 501

The Program Editor ......................................................... 502

The HP Prime programming language ................................... 511

The User Keyboard: Customizing key presses .................... 516

App programs ............................................................... 520

Program commands ............................................................ 527

Commands under the Tmplt menu..................................... 528

Block ............................................................................ 528

Branch .......................................................................... 528

Loop ............................................................................. 529

Variable........................................................................ 533

Function ........................................................................ 533

Commands under the Cmds menu .................................... 534

Strings .......................................................................... 534

Drawing........................................................................ 536

Matrix........................................................................... 544

App Functions ................................................................ 546

Integer .......................................................................... 547

I/O .............................................................................. 549

More ............................................................................ 554

Variables and Programs .................................................. 556

8 Contents

28 Basic integer arithmetic

The default base..................................................................582

Changing the default base...............................................583

Examples of integer arithmetic...............................................584

Integer manipulation ............................................................585

Base functions .....................................................................586

A Glossary

B Troubleshooting

Calculator not responding ....................................................591

To reset .........................................................................591

If the calculator does not turn on .......................................591

Operating limits ..................................................................592

Status messages ..................................................................592

C Product regulatory information

Federal Communications Commission notice...........................595

European Union Regulatory Notice........................................597

Index ...................................................................................601

Preface 9

Preface

Manual conventions

The following conventions are used in this manual to

represent the keys that you press and the menu options

that you choose to perform operations.

• A key that initiates an unshifted function is

represented by an image of that key:

e,B,H, etc.

• A key combination that initiates a shifted unction (or

inserts a character) is represented by the appropriate

shift key (

S or A) followed by the key for that

function or character:

Sh initiates the natural exponential function

and

Az inserts the pound character (#)

The name of the shifted function may also be given in

parentheses after the key combination:

SJ(Clear), SY (Setup)

• A key pressed to insert a digit is represented by that

digit:

5, 7, 8, etc.

• All fixed on-screen text—such as screen and field

names—appear in bold:

CAS Settings,

XSTEP, Decimal Mark, etc.

• A menu item selected by touching the screen is

represented by an image of that item:

, , .

Note that you must use your finger to select a menu

item. Using a stylus or something similar will not

select whatever is touched.

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, Parametric, Ans, etc.

• Cursor keys are represented by

=, \, >, and <.

You use these keys to move from field to field on a

screen, or from one option to another in a list of

options.

• Error messages are enclosed in quotation marks:

“Syntax Error”

Notice

This manual and any examples contained herein are

provided as-is and are subject to change without notice.

Except to the extent prohibited by law, Hewlett-Packard

Company makes no express or implied warranty of any

kind with regard to this manual and specifically disclaims

the implied warranties and conditions of merchantability

and fitness for a particular purpose and Hewlett-Packard

Company shall not be liable for any errors or for

incidental or consequential damage in connection with

the furnishing, performance or use of this manual and the

examples herein.

 1994–1995, 1999–2000, 2003–2006, 2010–2013

Hewlett-Packard Development Company, L.P.

The programs that control your HP Prime are copyrighted

and all rights are reserved. Reproduction, adaptation, or

translation of those programs without prior written

permission from Hewlett-Packard Company is also

prohibited.

For hardware warranty information, please refer to the

HP Prime Quick Start Guide.

Product Regulatory and Environment Information is

provided on the CD shipped with this product.

Getting started 11

1

Getting started

The HP Prime Graphing Calculator is an easy-to-use yet

powerful graphing calculator designed for secondary

mathematics education and beyond. It offers hundreds of

functions and commands, and includes a computer

algebra system (CAS) for symbolic calculations.

In addition to an extensive library of functions and

commands, the calculator comes with a set of HP apps.

An HP app is a special application designed to help you

explore a particular branch of mathematics or to solve a

problem of a particular type. For example, there is a HP

app that will help you explore geometry and another to

help you explore parametric equations. There are also

apps to help you solve systems of linear equations and to

solve time-value-of-money problems.

The HP Prime also has its own programming language

you can use to explore and solve mathematical problems.

Functions, commands, apps and programming are

covered in detail later in this guide. In this chapter, the

general features of the calculator are explained, along

with common interactions and basic mathematical

operations.

Before starting

Charge the battery fully before using the calculator for the

first time. To charge the battery, either:

• Connect the calculator to a computer using the USB

cable that came in the package with your HP Prime.

(The PC needs to be on for charging to occur.)

• Connect the calculator to a wall outlet using the HP-

provided wall adapter.

12 Getting started

When the calculator is on, a battery symbol appears in

the title bar of the screen. Its appearance will indicate how

much power the battery has. A flat battery will take

approximately 4 hours to become fully charged.

Battery Warning • To reduce the risk of fire or burns, do not

disassemble, crush or puncture the battery; do not

short the external contacts; and do not dispose of the

battery in fire or water.

• To reduce potential safety risks, only use the battery

provided with the calculator, a replacement battery

provided by HP, or a compatible battery

recommended by HP.

• Keep the battery away from children.

• If you encounter problems when charging the

calculator, stop charging and contact HP

immediately.

Adapter Warning • To reduce the risk of electric shock or damage to

equipment, only plug the AC adapter into an AC

outlet that is easily accessible at all times.

• To reduce potential safety risks, only use the AC

adapter provided with the calculator, a replacement

AC adapter provided by HP, or an AC adapter

purchased as an accessory from HP.

On/off, cancel operations

To turn on Press

O

to turn on the calculator.

To cancel When the calculator is on, pressing the J key cancels

the current operation. For example, it will clear whatever

you have entered on the entry line. It will also close a

menu and a screen.

To turn off Press

SO

(Off) turn the calculator off.

To save power, the calculator turns itself off after several

minutes of inactivity. All stored and displayed information

is saved.

Getting started 13

The Home View Home view is the starting point for many calculations.

Most mathematical functions are available in the Home

view. Some additional functions are available in the

computer algebra system (CAS). A history of your

previous calculations is retained and you can re-use a

previous calculation or its result.

To display Home view, press

H

.

The CAS View CAS view enables you to perform symbolic calculations. It

is largely identical to Home view—it even has its own

history of past calculations—but the CAS view offers some

additional functions.

To display CAS view, press

K

.

Protective cover The calculator is provided with a slide cover to protect the

display and keyboard. Remove the cover by grasping

both sides of it and pulling down.

You can reverse the slide cover and slide it onto the back

of the calculator. This will ensure that you do not misplace

the cover while you are using the calculator.

To prolong the life of the calculator, always place the

cover over the display and keyboard when you are not

using the calculator.

The display

To adjust the

brightness

To adjust the brightness of the display, press and hold

O, then press the

+

or

w

key to increase or

decrease the brightness. The brightness will change with

each press of the

+

or

w

key.

To clear the display • Press J or O to clear the entry line.

• Press

SJ (Clear) to clear the entry line and the

history.

14 Getting started

Sections of the display

Home view has four sections (shown above). The title bar

shows either the screen name or the name of the app you

are currently using—Function in the example above. It

also shows the time, a battery power indicator, and a

number of symbols that indicate various calculator

settings. These are explained below. The

history displays

a record of your past calculations. The

entry line

displays the object you are currently entering or

modifying. The

menu buttons are options that are

relevant to the current display. These options are selected

by tapping the corresponding menu button. You close a

menu, without making a selection from it, by pressing

J.

Annunciators. Annunciators are symbols or characters

that appear in the title bar. They indicate current settings,

and also provide time and battery power information.

Title bar

History

Menu buttons

Entry line

Annunciator Meaning

[Lime green] The angle mode setting is currently

degrees.

[Lime green] The angle mode setting is currently

radians.

[Cyan] The Shift key is active. The function

shown in blue on a key will be

activated when a key is pressed.

Press

S to cancel shift mode.

π

SS

Getting started 15

CAS

[White] You are working in CAS view, not

Home view.

[orange] In Home view

The Alpha key is active. The charac-

ter shown in orange on a key will

be entered in uppercase when a

key is pressed. See “Adding text”

on page 23 for more information.

In CAS view

The Alpha–Shift key combination is

active. The character shown in

orange on a key will be entered in

uppercase when a key is pressed.

See “Adding text” on page 23 for

more information.

[orange] In Home view

The Alpha–Shift key combination is

active. The character shown in

orange on a key will be entered in

lowercase when a key is pressed.

See “Adding text” on page 23 for

more information.

In CAS view

The Alpha key is active. The charac-

ter shown in orange on a key will

be entered in lowercase when a key

is pressed. See “Adding text” on

page 23 for more information.

[Yellow] The user keyboard is active. All the

following key presses will enter the

customized objects associated with

the key. See “The User Keyboard:

Customizing key presses” on page

516 for more information.

Annunciator Meaning (Continued)

A

...Z

a...z

UU

16 Getting started

Navigation

The HP Prime offers two modes of navigation: touch and

keys. In many cases, you can tap on an icon, field, menu,

or object to select (or deselect) it. For example, you can

open the Function app by tapping once on its icon in the

Application Library. However, to open the Application

Library, you will need to press a key:

I.

Instead of tapping an icon in the Application Library, you

can also press the cursor keys—

=,\,<,>—until the

app you want to open is highlighted, and then press

E. In the Application Library, you can also type the

first one or two letters of an app’s name to highlight the

app. Then either tap the app’s icon or press

E to

open it.

Sometimes a touch or key–touch combination is available.

For example, you can deselect a toggle option either by

tapping twice on it, or by using the arrow keys to move to

the field and then tapping a touch button along the bottom

of the screen (in this case ).

Note that you must use your finger or a capacitive stylus

to select an item by touch.

[Yellow] The user keyboard is active. The

next key press will enter the custom-

ized object associated with the key.

See “The User Keyboard: Customiz-

ing key presses” on page 516 for

more information.

[Time] Current time. The default is 24-hour

format, but you can choose

AM–PM

format. See “Home settings” on

page 30 for more information.

[Green with

gray border]

Battery-charge indicator.

Annunciator Meaning (Continued)

1U1U

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HP NW280AAABA User manual

HP NW280AAABA User manual

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