manuais HP 50g Graphing Calculator

Hp 50g Graphing Calculator Manual do Utilizador (2 páginas)

Marca: Hp | Categoria: Calculadoras, organizers | Tamanho: 0.22 MB |

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Graphing Calculator

Hp 50g Graphing Calculator Manual do Utilizador (887 páginas)

Marca: Hp | Categoria: Calculadoras, organizers | Tamanho: 9.55 MB |

Índice

HPg graphing calculator

Printing History

Table of contents

Page TOC-2

Page TOC-3

Page TOC-4

Page TOC-5

Page TOC-6

Page TOC-7

Chapter 9 - Vectors ,9-1

Page TOC-9

Page TOC-10

Page TOC-11

Chapter 12 - Graphics ,12-1

Page TOC-13

Page TOC-14

Page TOC-15

Page TOC-16

Page TOC-17

Page TOC-18

Page TOC-19

Page TOC-20

Page TOC-21

Page TOC-22

Page TOC-23

Appendices

Service! ,LW-2

Regulatory information ,LW-4

Union ,LW-6

Chapter 1

Getting started

Page 1-2

Page 1-3

SOFT menus vs. CHOOSE boxes

Page 1-5

Page 1-6

The TOOL menu

Setting time and date

Page 1-8

Page 1-9

Page 1-10

Page 1-11

Selecting calculator modes

Page 1-13

Page 1-14

Page 1-15

Page 1-17

Page 1-18

Page 1-19

Page 1-20

Page 1-21

Page 1-22

Angle Measure

)cos( yxrrx +=⋅=

Page 1-25

Selecting CAS settings

Selecting Display modes

Page 1-28

Page 1-29

Selecting the clock display

Page 1-31

Chapter 2

Introducing the calculator

Page 2-2

Mean: 23.2, the word Mean:

√3.-2.^3)

√3. Next, we switch

Page 2-6

Page 2-7

Editing algebraic expressions

Page 2-9

Page 2-10

Page 2-11

Page 2-12

Page 2-13

Page 2-14

Page 2-15

Page 2-16

Page 2-17

Page 2-19

Page 2-20

Page 2-22

Page 2-23

Page 2-24

Page 2-25

Page 2-26

Page 2-27

Page 2-28

Summations

Page 2-30

+⋅=+⋅−⋅ ttt

)sin( dttt

)cos()sin()sin(

Page 2-34

The CASDIR sub-directory

Page 2-36

Page 2-37

Page 2-38

Creating subdirectories

Page 2-40

100

• Through the catalog key

101

Page 2-42

102

Moving among subdirectories

103

Deleting subdirectories

103

Page 2-45

105

Page 2-46

106

Variables

107

Name Contents Type

108

Page 2-49

109

Page 2-50

110

• RPN mode

111

Checking variables contents

112

Page 2-53

113

Page 2-54

114

Page 2-55

115

Copying variables

116

Page 2-57

117

Page 2-58

118

Page 2-59

119

Page 2-60

120

Deleting variables

121

UNDO and CMD functions

122

Page 2-63

123

Page 2-64

124

Page 2-65

125

Other flags of interest

126

CHOOSE boxes vs. Soft MENU

127

Page 2-68

128

Selected CHOOSE boxes

129

Page 2-70

130

Chapter 3

131

Calculation with real numbers

131

Checking calculator mode

132

Real number calculations

132

The inverse function

133

Using parentheses

134

In ALG mode:

134

Absolute value function

134

Squares and square roots

135

Powers and roots

135

Trigonometric functions

136

√, ^, XROOT, LOG

137

Page 3-8

138

Page 3-9

139

Page 3-10

140

Real number functions

141

Page 3-12

142

Page 3-13

143

Special functions

144

)](ln[)( xx Γ=

145

Calculator constants

146

Operations with units

147

Page 3-18

148

Available units

149

Page 3-20

150

Page 3-21

151

Converting to base units

152

Attaching units to numbers

153

Page 3-24

154

Page 3-26

156

Units manipulation tools

157

Page 3-28

158

Page 3-29

159

Page 3-30

160

Page 3-31

161

Special physical functions

162

Function F0λ

163

Function SIDENS

163

Function TDELTA

163

Defining and using functions

164

Page 3-35

165

The IFTE function

166

Page 3-37

167

Chapter 4

168

Entering complex numbers

169

∠θ). The angle symbol

170

The CMPLX menus

172

Page 4-6

173

CMPLX menu in keyboard

174

Page 4-8

175

Functions from the MTH menu

176

Page 4-10

177

Chapter 5

178

Page 5-2

179

Functions in the ALG menu

180

Page 5-4

181

Page 5-5

182

Page 5-6

183

Page 5-7

184

Page 5-8

185

Page 5-9

186

INTEGER menu

187

POLYNOMIAL menu

187

MODULO menu

188

Modular arithmetic

189

Page 5-13

190

Page 5-14

191

POWMOD examples

192

Page 5-16

193

Polynomials

194

The CHINREM function

194

Page 5-20

197

The PCOEF function

198

The PROOT function

198

The PTAYL function

198

The PEVAL function

199

The TCHEBYCHEFF function

199

Fractions

200

The FCOEF function

201

The FROOTS function

201

Page 5-25

202

UNITS convert menu (Option 1)

203

BASE convert menu (Option 2)

204

Page 5-28

205

LIN LNCOLLECT

206

POWEREXPAND SIMPLIFY

206

Chapter 6

207

Solution to single equations

207

Function SOLVE

208

Function SOLVEVX

209

Function ZEROS

210

Numerical solver menu

211

Polynomial Equations

212

Page 6-7

213

Page 6-8

214

X^4+-3*X^3+

215

3*X^2+11*X+-6*X^0'

215

End is highlighted

216

Page 6-11

217

Page 6-13

219

Page 6-14

220

Page 6-15

221

ΔT = 60

222

Page 6-17

223

Page 6-18

224

Page 6-19

225

Page 6-20

226

Page 6-21

227

Page 6-22

228

Page 6-24

230

Page 6-25

231

The SOLVE soft menu

232

Page 6-27

233

Page 6-28

234

The DIFFE sub-menu

235

The POLY sub-menu

235

The SYS sub-menu

236

The TVM sub-menu

236

Page 6-31

237

Chapter 7

238

Solving multiple equations

238

{ ‘t = (x-x0)/(COS(θ0)*v0)’

239

Page 7-4

241

Page 7-5

242

12 mybP ++=

243

Page 7-8

245

Page 7-9

246

)()()( csbsassA −⋅−⋅−⋅=

247

Page 7-11

248

Page 7-12

249

Page 7-13

250

Page 7-14

251

53.1301023541

252

Page 7-16

253

Page 7-17

254

Page 7-18

255

Page 7-19

256

Page 7-20

257

Chapter 8

258

Operations with lists

258

Page 8-2

259

Changing sign

260

Page 8-4

261

Page 8-5

262

Page 8-6

263

Lists of complex numbers

264

Lists of algebraic objects

265

The MTH/LIST menu

265

Page 8-9

266

List size

267

Element position in the list

268

HEAD and TAIL functions

268

The SEQ function

268

The MAP function

269

Page 8-13

270

Page 8-14

271

Applications of lists

272

Geometric mean of a list

273

Weighted average

274

Statistics of grouped data

275

Chapter 9

278

Entering vectors

279

Page 9-5

282

→ keys are selected

282

Building a vector with ARRY

283

Page 9-7

284

Page 9-8

285

Addition, subtraction

286

The MTH/VECTOR menu

287

Dot product

288

Cross product

288

Decomposing a vector

288

Changing coordinate system

289

Page 9-13

290

Resultant of forces

292

Angle between vectors

292

Moment of a force

293

Equation of a plane in space

294

Page 9-18

295

Function OBJ

296

Function LIST

297

Function DROP

297

Page 9-21

298

Page 9-22

299

Page 9-23

300

Page 9-24

301

Chapter 10!

302

Using the Matrix Writer

303

Page 10-3

304

Page 10-4

305

Page 10-5

306

Functions GET and PUT

307

Functions GETI and PUTI

307

Function SIZE

308

Function TRN

308

Function CON

309

Function IDN

310

Function RDM

310

Page 10-10

311

Function RANM

312

Function SUB

312

Function REPL

313

Function →DIAG

313

Function DIAG→

314

Function VANDERMONDE

314

Function HILBERT

315

Page 10-15

316

Page 10-16

317

Page 10-17

318

Function →COL

319

Function COL→

320

Function COL+

320

Function COL

321

Function CSWP

321

Manipulating matrices by rows

322

Function →ROW

323

Function ROW→

324

Function ROW+

324

Function ROW

325

Function RSWP

325

Function RCI

326

Function RCIJ

326

Page 10-26

327

Chapter 11

328

Addition and subtraction

329

Multiplication

329

Page 11-3

330

.,,2,1;,,2,1

331

Page 11-5

332

Page 11-7

334

Function ABS

335

Function SNRM

335

Functions RNRM and CNRM

336

Function SRAD

337

Function COND

337

Function RANK

338

Function DET

339

Page 11-13

340

Function TRACE

341

Function TRAN

342

Function AXL

343

Function AXM

343

Function LCXM

343

Solution of linear systems

344

Page 11-19

346

Page 11-21

348

Page 11-23

350

Page 11-24

351

)3()2()1(

355

Page 11-30

357

Page 11-31

358

Page 11-32

359

Page 11-34

361

Page 11-36

363

Page 11-37

364

1 -1/16 0 33/16

365

Page 11-39

366

Page 11-42

369

Page 11-43

370

Page 11-44

371

Eigenvalues and eigenvectors

372

Function EGVL

373

Function EGV

373

Function JORDAN

374

4: ‘X^3+-6*x^2+2*X+8’

375

3: ‘X^3+-6*x^2+2*X+8’

375

Matrix factorization

376

1: [[0 0 1][1 0 0][0 1 0]]

377

Function SVL

378

Function SCHUR

378

Function LQ

378

1: [[1 0 0][0 0 1][0 1 0]]

379

Matrix Quadratic Forms

379

1: [‘X’ ‘Y’ ‘Z’]

380

2: [[1 2 –8][2 1 0][-8 0 –1]]

380

Function SYLVESTER

381

Function GAUSS

381

Function IMAGE

382

Function ISOM

382

Function KER

383

Function MKISOM

383

Chapter 12

384

Graphics

384

Page 12-2

385

Page 12-3

386

Page 12-4

387

Page 12-5

388

Page 12-6

389

Saving a graph for future use

390

Graph of ln(X)

391

Page 12-9

392

Page 12-10

393

The PPAR variable

394

Page 12-12

395

Page 12-13

396

Page 12-14

397

Page 12-15

398

Page 12-16

399

The TPAR variable

400

Plots in polar coordinates

401

Page 12-19

402

Plotting conic curves

403

Page 12-21

404

Parametric plots

405

Conic as the TYPE

405

High to 2@@@OK@@@. Enter 0

406

Page 12-24

407

Page 12-25

408

Page 12-26

409

Page 12-27

410

Truth plots

411

TYPE to Truth

411

H-View: -6.5 6.5, V-View:

411

-3.9 4.0 (To

411

Bar plots

412

TYPE to Bar

413

V-View: 0 5

413

V-View: 0 6

414

TYPE to Scatter

414

H-View: 0 6, V-View: 0 6

414

H-View: 0 7, V-View: 0 7

415

Slope fields

416

TYPE to Slopefield

416

Indep: and ‘Y’ as the Depnd:

416

TYPE to Fast3D

417

Step Indep: 20 Depnd: 16

418

Wireframe plots

419

TYPE to Wireframe

419

XE:0 YE:-3 ZE:3

420

XE:3 YE:3 ZE:3

420

Ps-Contour plots

421

TYPE to Ps-Contour

421

Y-Slice plots

422

TYPE to Y-Slice

422

Gridmap plots

423

TYPE to Gridmap

424

Pr-Surface plots

424

TYPE to Pr-Surface

425

Interactive drawing

426

TYPE to Function, if needed

426

DOT+ and DOT

427

Page 12-45

428

Page 12-46

429

ZFACT, ZIN, ZOUT, and ZLAST

430

Page 12-48

431

The SYMBOLIC menu and graphs

432

The SYMB/GRAPH menu

433

Page 12-51

434

Function DRAW3DMATRIX

435

Chapter 13

436

Calculus Applications

436

)(lim xf

437

Derivatives

438

Functions DERIV and DERVX

438

The DERIV&INTEG menu

439

Page 13-5

440

The chain rule

441

Application of derivatives

442

Page 13-8

443

Function DOMAIN

444

Function TABVAL

444

Page 13-10

445

Page 13-11

446

Page 13-12

447

Higher order derivatives

448

CxFdxxf +=

449

),()()( aFbFdxxf

450

Page 13-16

451

Integrating an equation

452

Techniques of integration

453

−= vduuvdudv )(

454

−= vduuvudv

454

Page 13-20

455

Integration with units

456

Infinite series

457

Chapter 14

461

Page 14-2

462

Page 14-3

463

⋅(∂z/∂y) + (dx/dt)⋅(∂z/∂x)

464

(∂z/∂x)⋅dx + (∂z/∂y)⋅dy

465

Multiple integrals

468

Page 14-10

470

[] [] [] []

471

Potential of a gradient

473

[] [] []

475

Vector potential

476

Page 15-7

477

⋅(du(x)/dx) + u(x)

478

The CALC/DIFF menu

480

Function LDEC

481

K3 = (15*cC0+(2*cC1-cC2))/15

482

1st order linear”

485

Exact expressions, ‘y(0)

486

Laplace Transforms

487

,)()()}({ dtetfsFtf

488

Laplace transform theorems

489

)()()}({)}({ sGsFtgtf ⋅=⋅LL

491

= .0.1)( dxx

492

=− ).()()(

492

Delta(5)’

493

TYPE to FUNCTION, if needed

499

Indep is set to ‘X’

499

.)3(sinsincos)(

501

⋅⋅−⋅+⋅+⋅= dueuHttCtCoty

501

Fourier series

503

Function FOURIER

505

Page 16-32

509

Page 16-33

510

Page 16-34

511

Page 16-35

512

Page 16-37

514

Page 16-38

515

Page 16-39

516

Page 16-40

517

Page 16-41

518

Fourier Transforms

519

⋅⋅⋅⋅= ,)cos()(

520

⋅⋅⋅⋅= dxxxfS

521

)sin()()()}({ dttFtfF

522

)cos()()()}({ dttFtfF

522

Page 16-46

523

Fast Fourier Transform (FFT)

524

Examples of FFT applications

525

Page 16-49

526

Page 16-50

527

=+⋅−+ bnan

528

Page 16-58

535

Page 16-59

536

Page 16-60

537

⋅−⋅−= 962.175.18

538

Page 16-62

539

Page 16-63

540

Page 16-64

541

Page 16-65

542

SOLVE Y’(T) = F(T,Y)

543

Function RKF

544

Function RRK

545

Function RKFSTEP

546

Function RRKSTEP

547

Function RKFERR

548

Function RSBERR

548

Page 16-72

549

Chapter 17

550

Probability Applications

550

Random numbers

551

Page 17-3

552

Page 17-4

553

Σ(k=0,x,pmfb(n,p,k)))

554

The gamma distribution

555

The exponential distribution

555

Page 17-7

556

. Repeat

557

Normal distribution pdf

558

Normal distribution cdf

559

The Student-t distribution

559

∞<<−∞+⋅

560

The F distribution

561

Page 17-13

562

Page 17-14

563

Page 17-15

564

Page 17-16

565

Page 17-17

566

Page 17-18

567

Chapter 18

568

Statistical Applications

568

Sample. Move

569

Median: 2.15

571

Type: Population in the

572

ΣDAT, by using function STOΣ

574

Page 18-9

576

ΣDAT variable

577

Page 18-11

578

1: Covariance: -6.23350666124

580

Calculation of percentiles

581

The STAT soft menu

582

The DATA sub-menu

583

The ΣPAR sub-menu

583

The 1VAR sub menu

584

The PLOT sub-menu

584

The FIT sub-menu

585

The SUMS sub-menu

585

Page 18-19

586

'1.5+2*X'

587

Intercept: 1.5, Slope: 2

587

Page 18-21

588

Confidence intervals

589

Definitions

590

Page 18-27

594

Page 18-31

598

Hypothesis testing

602

Errors in hypothesis testing

603

Paired sample tests

608

0)( =SSE

617

−=⋅−=−−=

618

P-value < α

621

3: '-.86 + 3.24*X'

621

1: Covariance: 2.025

622

Multiple linear fitting

624

Polynomial fitting

626

Page 18-61

628

Selecting the best fitting

629

Page 18-64

631

Page 18-65

632

Chapter 19

633

Numbers in Different Bases

633

Page 19-2

634

! is selected, any number

634

Page 19-3

635

Wordsize

636

The LOGIC menu

637

The BIT menu

638

The BYTE menu

639

Chapter 20

640

Page 20-2

641

Page 20-3

642

Page 20-4

643

Customizing the keyboard

644

Page 20-6

645

Operating user-defined keys

646

Page 20-8

647

Chapter 21

648

Page 21-2

649

→ x « x SINH 1 x SQ ADD / »»

650

The PRG menu

652

Page 21-6

653

Functions listed by sub-menu

654

Page 21-8

655

Shortcuts in the PRG menu

656

Page 21-10

657

Page 21-11

658

Page 21-13

660

},...,,,{

661

* SQ * 2 * SWAP SQ SWAP / »

665

Interactive input in programs

666

Cu n y0 S0

667

‘SQ(S4)/(S3*SQ(S2*S1)*2)’

667

Page 21-21

668

:a:35 in stack level 1

669

INPUT OBJ→→ a

669

‘2*a^2+3‘ » »

669

Page 21-24

671

« ‘2*a^2+3‘ NUM »»

671

V T ‘(1.662902_J/K)*(T/V)’ »

672

Application

673

Input through input forms

674

Page 21-29

676

Page 21-30

677

Creating a choose box

678

Tagging a numerical result

680

Examples of tagged output

681

Using a message box

684

Page 21-38

685

Page 21-39

686

STR ‚Õ ‚ë ™+

686

Page 21-40

687

Page 21-41

688

Page 21-42

689

Relational operators

690

ˏ “is less than” ‘m<n’

691

Logical operators

692

Program branching

693

Branching with IF

694

The IF…THEN…END construct

694

Page 21-48

695

Page 21-49

696

Page 21-50

697

The CASE construct

698

Program loops

700

Page 21-54

701

Page 21-55

702

Page 21-58

705

The FOR construct

706

1 0 START 1 1 STEP returns 1)

707

The DO construct

708

Page 21-62

709

The WHILE construct

710

Errors and error trapping

711

Sub-menu IFERR

712

Page 21-66

713

Page 21-67

714

« → X ‘2.5-3*X^2’ »

714

Page 21-68

715

Chapter 22

716

Description of the PLOT menu

717

Page 22-3

718

Page 22-4

719

Page 22-5

720

Page 22-8

723

Page 22-9

724

Page 22-10

725

Page 22-11

726

Page 22-12

727

Page 22-13

728

Two-dimensional graphics

729

Three-dimensional graphics

730

The variable EQ

730

Page 22-16

731

Page 22-17

732

Page 22-18

733

Page 22-19

734

PIX?, PIXON, and PIXOFF

736

Page 22-22

737

Page 22-23

738

Page 22-24

739

Pixel coordinates

740

Animating graphics

741

Page 22-27

742

Page 22-28

743

LIST ³ ~~wlist~ K

743

Graphic objects (GROBs)

744

Page 22-30

745

The GROB menu

746

Page 22-33

748

Modular programming

750

Running the program

751

(2.50E1, 5.00E1)

752

{ 25 75 50 } [ENTER]

753

Page 22-40

755

Page 22-41

756

Chapter 23

757

Character strings

757

String concatenation

758

The CHARS menu

758

NAME IS CYRILLE

759

The characters list

759

Page 23-4

760

S, or ~‚s. Some

760

Chapter 24

761

Calculator objects and flags

761

Function TYPE

762

Function VTYPE

762

Calculator flags

763

User flags

764

Chapter 25

765

Date and Time Functions

765

Browsing alarms

766

TIME Tools

766

Calculations with dates

767

Calculating with times

768

Alarm functions

768

Chapter 26

769

Managing memory

769

The HOME directory

770

Port memory

770

Checking objects in memory

771

Backup objects

772

Backing up and restoring HOME

773

Page 26-6

774

Using data in backup objects

775

Using SD cards

775

Formatting an SD card

776

Storing objects on an SD card

777

Page 26-10

778

Page 26-11

779

Using libraries

780

Backup battery

781

Page 26-14

782

Chapter 27

783

The Equation Library

783

Using the Solver

784

Using the menu keys

785

Viewing equations

786

Viewing the picture

787

Page 27-6

788

Operation Key Action

788

Page 27-7

789

Defining a set of equations

790

∂,

791

Page 27-10

792

Checking solutions

793

Page 27-12

794

Appendix A

795

Using input forms

795

Page A-2

796

Page A-3

797

Page A-4

798

Appendix B

799

The calculator’s keyboard

799

Page B-2

800

Main key functions

801

Alternate key functions

802

Left-shift functions

803

Page B-6

804

Page B-7

805

Right-shift functions

806

ALPHA characters

807

Alpha-left-shift characters

808

Page B-11

809

Alpha-right-shift characters

810

 , 

810

Page B-13

811

Appendix C

812

CAS settings

812

Page C-2

813

Selecting the modulus

814

Numeric vs. symbolic CAS mode

814

Page C-4

815

Page C-5

816

Complex vs. Real CAS mode

817

Step-by-step CAS mode

818

Increasing-power CAS mode

820

Rigorous CAS setting

821

Using the CAS HELP facility

821

Page C-11

822

Page C-12

823

Page C-13

824

Page C-14

825

Appendix D

826

Additional character set

826

Page D-2

827

Greek letters

828

Other characters

828

Appendix E

829

Page E-2

830

Page E-3

831

Page E-4

832

Appendix F

833

The Applications (APPS) menu

833

I/O functions

834

Constants lib

834

Numeric solver

835

Time & date

835

Equation writer

836

File manager

836

Matrix Writer

837

Text editor

837

Math menu

837

CAS menu

838

Equation Library

838

Page F-7

839

Appendix G

840

Useful shortcuts

840

Page G-2

841

Page G-3

842

Appendix H

843

The CAS help facility

843

Page H-2

844

Appendix I

845

Command catalog list

845

Appendix J

846

The MATHS menu

846

The HYPERBOLIC sub-menu

847

The INTEGER sub-menu

847

The MODULAR sub-menu

847

The POLYNOMIAL sub-menu

848

The TESTS sub-menu

848

Appendix K

849

The MAIN menu

849

The MATHS sub-menu

850

The ARIT sub-menu

851

The EXP&LN sub-menu

852

The MATR sub-menu

852

Page K-5

853

Appendix L

854

Line editor commands

854

Page L-2

855

The SEARCH sub-menu

856

The GOTO sub-menu

857

The Style sub-menu

857

Page L-5

858

Appendix M

859

Table of Built-In Equations

859

Page M-2

860

Page M-3

861

Appendix N

862

Page N-2

863

Page N-3

864

Page N-4

865

Page N-5

866

Page N-6

867

Page N-7

868

Page N-8

869

Page N-9

870

Page N-10

871

Page N-11

872

Page N-12

873

Page N-13

874

Page N-14

875

Page N-15

876

Page N-16

877

Page N-17

878

Page N-18

879

Page N-19

880

Page N-20

881

Limited Warranty

882

Page LW-2

883

Page LW-3

884

Regulatory information

885

Page LW-5

886

xxxx*

887

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