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# Precalculus - Mathematics for Calculus - 7th Edition (2015)

## Precalculus - Mathematics for Calculus - 7th Edition

• Page 2 and 3: exponents and radicals geometric fo
• Page 4 and 5: Complex Numbers polar coordinates F
• Page 6 and 7: about the authors James Stewart rec
• Page 8 and 9: This is an electronic version of th
• Page 10 and 11: contents Preface x To the Student x
• Page 12 and 13: Contents vii chapter 6 Trigonometri
• Page 14 and 15: Contents ix chapter 12 Sequences an
• Page 16 and 17: Preface xi ■ CHAPTER 4 Exponentia
• Page 18 and 19: Preface xiii ■ Focus on Modeling
• Page 20 and 21: Preface xv We thank Martha Emry, ou
• Page 22 and 23: TO THE STUDENT This textbook was wr
• Page 24 and 25: prologue principles of problem solv
• Page 26 and 27: Prologue P3 Try a special case. ▶
• Page 28 and 29: 1 Fundamentals Blend Images/Alamy 1
• Page 30 and 31: SECTION 1.1 ■ Real Numbers 3 A re
• Page 32 and 33: SECTION 1.1 ■ Real Numbers 5 ■
• Page 34 and 35: SECTION 1.1 ■ Real Numbers 7 If S
• Page 36 and 37: SECTION 1.1 ■ Real Numbers 9 When
• Page 38 and 39: SECTION 1.1 ■ Real Numbers 11 40.
• Page 40 and 41: SECTION 1.2 ■ Exponents and Radic
• Page 42 and 43: SECTION 1.2 ■ Exponents and Radic
• Page 44 and 45: SECTION 1.2 ■ Exponents and Radic
• Page 46 and 47: SECTION 1.2 ■ Exponents and Radic
• Page 48 and 49: SECTION 1.2 ■ Exponents and Radic
• Page 50 and 51: SECTION 1.2 ■ Exponents and Radic
• Page 52 and 53:

SECTION 1.3 ■ Algebraic Expressio

• Page 54 and 55:

SECTION 1.3 ■ Algebraic Expressio

• Page 56 and 57:

SECTION 1.3 ■ Algebraic Expressio

• Page 58 and 59:

SECTION 1.3 ■ Algebraic Expressio

• Page 60 and 61:

SECTION 1.3 ■ Algebraic Expressio

• Page 62 and 63:

SECTION 1.3 ■ Algebraic Expressio

• Page 64 and 65:

SECTION 1.4 ■ Rational Expression

• Page 66 and 67:

SECTION 1.4 ■ Rational Expression

• Page 68 and 69:

SECTION 1.4 ■ Rational Expression

• Page 70 and 71:

SECTION 1.4 ■ Rational Expression

• Page 72 and 73:

SECTION 1.5 ■ Equations 45 101. D

• Page 74 and 75:

SECTION 1.5 ■ Equations 47 Becaus

• Page 76 and 77:

SECTION 1.5 ■ Equations 49 Exampl

• Page 78 and 79:

SECTION 1.5 ■ Equations 51 Exampl

• Page 80 and 81:

SECTION 1.5 ■ Equations 53 10,000

• Page 82 and 83:

SECTION 1.5 ■ Equations 55 Exampl

• Page 84 and 85:

SECTION 1.5 ■ Equations 57 123-12

• Page 86 and 87:

SECTION 1.6 ■ Complex Numbers 59

• Page 88 and 89:

SECTION 1.6 ■ Complex Numbers 61

• Page 90 and 91:

SECTION 1.6 ■ Complex Numbers 63

• Page 92 and 93:

SECTION 1.7 ■ Modeling with Equat

• Page 94 and 95:

SECTION 1.7 ■ Modeling with Equat

• Page 96 and 97:

SECTION 1.7 ■ Modeling with Equat

• Page 98 and 99:

SECTION 1.7 ■ Modeling with Equat

• Page 100 and 101:

SECTION 1.7 ■ Modeling with Equat

• Page 102 and 103:

SECTION 1.7 ■ Modeling with Equat

• Page 104 and 105:

SECTION 1.7 ■ Modeling with Equat

• Page 106 and 107:

SECTION 1.7 ■ Modeling with Equat

• Page 108 and 109:

SECTION 1.8 ■ Inequalities 81 ste

• Page 110 and 111:

SECTION 1.8 ■ Inequalities 83 0 2

• Page 112 and 113:

SECTION 1.8 ■ Inequalities 85 0 2

• Page 114 and 115:

SECTION 1.8 ■ Inequalities 87 0 F

• Page 116 and 117:

SECTION 1.8 ■ Inequalities 89 63.

• Page 118 and 119:

` SECTION 1.8 ■ Inequalities 91 1

• Page 120 and 121:

SECTION 1.9 ■ The Coordinate Plan

• Page 122 and 123:

SECTION 1.9 ■ The Coordinate Plan

• Page 124 and 125:

SECTION 1.9 ■ The Coordinate Plan

• Page 126 and 127:

SECTION 1.9 ■ The Coordinate Plan

• Page 128 and 129:

SECTION 1.9 ■ The Coordinate Plan

• Page 130 and 131:

SECTION 1.9 ■ The Coordinate Plan

• Page 132 and 133:

SECTION 1.9 ■ The Coordinate Plan

• Page 134 and 135:

SECTION 1.10 ■ Lines 107 Slope of

• Page 136 and 137:

SECTION 1.10 ■ Lines 109 Example

• Page 138 and 139:

SECTION 1.10 ■ Lines 111 Example

• Page 140 and 141:

SECTION 1.10 ■ Lines 113 y 17 Q S

• Page 142 and 143:

SECTION 1.10 ■ Lines 115 30. Thro

• Page 144 and 145:

SECTION 1.11 ■ Solving Equations

• Page 146 and 147:

SECTION 1.11 ■ Solving Equations

• Page 148 and 149:

SECTION 1.11 ■ Solving Equations

• Page 150 and 151:

SECTION 1.12 ■ Modeling Variation

• Page 152 and 153:

SECTION 1.12 ■ Modeling Variation

• Page 154 and 155:

SECTION 1.12 ■ Modeling Variation

• Page 156 and 157:

SECTION 1.12 ■ Modeling Variation

• Page 158 and 159:

CHAPTER 1 ■ Review 131 Properties

• Page 160 and 161:

CHAPTER 1 ■ Review 133 18. What a

• Page 162 and 163:

CHAPTER 1 ■ Review 135 82. Distan

• Page 164 and 165:

CHAPTER 1 TEST 1. (a) Graph the int

• Page 166 and 167:

FOCUS ON MODELING Fitting Lines to

• Page 168 and 169:

Fitting Lines to Data 141 (c) The y

• Page 170 and 171:

Fitting Lines to Data 143 SOLUTION

• Page 172 and 173:

Fitting Lines to Data 145 4. Carbon

• Page 174 and 175:

﻿ ■ 147 2 Functions © iStockph

• Page 176 and 177:

SECTION 2.1 ■ Functions 149 T is

• Page 178 and 179:

SECTION 2.1 ■ Functions 151 Examp

• Page 180 and 181:

SECTION 2.1 ■ Functions 153 The t

• Page 182 and 183:

SECTION 2.1 ■ Functions 155 Examp

• Page 184 and 185:

SECTION 2.1 ■ Functions 157 35-38

• Page 186 and 187:

SECTION 2.2 ■ Graphs of Functions

• Page 188 and 189:

SECTION 2.2 ■ Graphs of Functions

• Page 190 and 191:

SECTION 2.2 ■ Graphs of Functions

• Page 192 and 193:

SECTION 2.2 ■ Graphs of Functions

• Page 194 and 195:

SECTION 2.2 ■ Graphs of Functions

• Page 196 and 197:

SECTION 2.2 ■ Graphs of Functions

• Page 198 and 199:

SECTION 2.3 ■ Getting Information

• Page 200 and 201:

SECTION 2.3 ■ Getting Information

• Page 202 and 203:

SECTION 2.3 ■ Getting Information

• Page 204 and 205:

SECTION 2.3 ■ Getting Information

• Page 206 and 207:

SECTION 2.3 ■ Getting Information

• Page 208 and 209:

SECTION 2.3 ■ Getting Information

• Page 210 and 211:

SECTION 2.4 ■ Average Rate of Cha

• Page 212 and 213:

SECTION 2.4 ■ Average Rate of Cha

• Page 214 and 215:

SECTION 2.4 ■ Average Rate of Cha

• Page 216 and 217:

SECTION 2.4 ■ Average Rate of Cha

• Page 218 and 219:

SECTION 2.5 ■ Linear Functions an

• Page 220 and 221:

SECTION 2.5 ■ Linear Functions an

• Page 222 and 223:

SECTION 2.5 ■ Linear Functions an

• Page 224 and 225:

SECTION 2.5 ■ Linear Functions an

• Page 226 and 227:

SECTION 2.6 ■ Transformations of

• Page 228 and 229:

SECTION 2.6 ■ Transformations of

• Page 230 and 231:

SECTION 2.6 ■ Transformations of

• Page 232 and 233:

SECTION 2.6 ■ Transformations of

• Page 234 and 235:

SECTION 2.6 ■ Transformations of

• Page 236 and 237:

SECTION 2.6 ■ Transformations of

• Page 238 and 239:

SECTION 2.7 ■ Combining Functions

• Page 240 and 241:

SECTION 2.7 ■ Combining Functions

• Page 242 and 243:

SECTION 2.7 ■ Combining Functions

• Page 244 and 245:

SECTION 2.7 ■ Combining Functions

• Page 246 and 247:

SECTION 2.8 ■ One-to-One Function

• Page 248 and 249:

SECTION 2.8 ■ One-to-One Function

• Page 250 and 251:

SECTION 2.8 ■ One-to-One Function

• Page 252 and 253:

SECTION 2.8 ■ One-to-One Function

• Page 254 and 255:

SECTION 2.8 ■ One-to-One Function

• Page 256 and 257:

CHAPTER 2 ■ Review 229 105. DISCU

• Page 258 and 259:

CHAPTER 2 ■ Review 231 15. (a) Wh

• Page 260 and 261:

CHAPTER 2 ■ Review 233 61-66 ■

• Page 262 and 263:

CHAPTER 2 TEST 1. Which of the foll

• Page 264 and 265:

FOCUS ON MODELING Modeling with Fun

• Page 266 and 267:

Modeling with Functions 239 Example

• Page 268 and 269:

Modeling with Functions 241 Pythago

• Page 270 and 271:

Modeling with Functions 243 24. Max

• Page 272 and 273:

3 Polynomial and Rational Functions

• Page 274 and 275:

• Page 276 and 277:

• Page 278 and 279:

• Page 280 and 281:

• Page 282 and 283:

SECTION 3.2 ■ Polynomial Function

• Page 284 and 285:

SECTION 3.2 ■ Polynomial Function

• Page 286 and 287:

SECTION 3.2 ■ Polynomial Function

• Page 288 and 289:

SECTION 3.2 ■ Polynomial Function

• Page 290 and 291:

SECTION 3.2 ■ Polynomial Function

• Page 292 and 293:

SECTION 3.2 ■ Polynomial Function

• Page 294 and 295:

SECTION 3.2 ■ Polynomial Function

• Page 296 and 297:

SECTION 3.3 ■ Dividing Polynomial

• Page 298 and 299:

SECTION 3.3 ■ Dividing Polynomial

• Page 300 and 301:

SECTION 3.3 ■ Dividing Polynomial

• Page 302 and 303:

SECTION 3.4 ■ Real Zeros of Polyn

• Page 304 and 305:

SECTION 3.4 ■ Real Zeros of Polyn

• Page 306 and 307:

SECTION 3.4 ■ Real Zeros of Polyn

• Page 308 and 309:

SECTION 3.4 ■ Real Zeros of Polyn

• Page 310 and 311:

SECTION 3.4 ■ Real Zeros of Polyn

• Page 312 and 313:

SECTION 3.4 ■ Real Zeros of Polyn

• Page 314 and 315:

SECTION 3.5 ■ Complex Zeros and t

• Page 316 and 317:

SECTION 3.5 ■ Complex Zeros and t

• Page 318 and 319:

SECTION 3.5 ■ Complex Zeros and t

• Page 320 and 321:

SECTION 3.5 ■ Complex Zeros and t

• Page 322 and 323:

SECTION 3.6 ■ Rational Functions

• Page 324 and 325:

SECTION 3.6 ■ Rational Functions

• Page 326 and 327:

SECTION 3.6 ■ Rational Functions

• Page 328 and 329:

SECTION 3.6 ■ Rational Functions

• Page 330 and 331:

SECTION 3.6 ■ Rational Functions

• Page 332 and 333:

SECTION 3.6 ■ Rational Functions

• Page 334 and 335:

SECTION 3.6 ■ Rational Functions

• Page 336 and 337:

SECTION 3.6 ■ Rational Functions

• Page 338 and 339:

SECTION 3.7 ■ Polynomial and Rati

• Page 340 and 341:

SECTION 3.7 ■ Polynomial and Rati

• Page 342 and 343:

SECTION 3.7 ■ Polynomial and Rati

• Page 344 and 345:

CHAPTER 3 ■ Review 317 45-50 ■

• Page 346 and 347:

CHAPTER 3 ■ Review 319 If the deg

• Page 348 and 349:

CHAPTER 3 ■ Review 321 37. What i

• Page 350 and 351:

CHAPTER 3 TEST x h(x) r 1x2 2x 1

• Page 352 and 353:

FOCUS ON MODELING Fitting Polynomia

• Page 354 and 355:

Fitting Polynomial Curves to Data 3

• Page 356 and 357:

4 Exponential and Logarithmic Funct

• Page 358 and 359:

SECTION 4.1 ■ Exponential Functio

• Page 360 and 361:

SECTION 4.1 ■ Exponential Functio

• Page 362 and 363:

SECTION 4.1 ■ Exponential Functio

• Page 364 and 365:

SECTION 4.1 ■ Exponential Functio

• Page 366 and 367:

SECTION 4.2 ■ The Natural Exponen

• Page 368 and 369:

SECTION 4.2 ■ The Natural Exponen

• Page 370 and 371:

SECTION 4.2 ■ The Natural Exponen

• Page 372 and 373:

SECTION 4.3 ■ Logarithmic Functio

• Page 374 and 375:

SECTION 4.3 ■ Logarithmic Functio

• Page 376 and 377:

SECTION 4.3 ■ Logarithmic Functio

• Page 378 and 379:

SECTION 4.3 ■ Logarithmic Functio

• Page 380 and 381:

SECTION 4.3 ■ Logarithmic Functio

• Page 382 and 383:

SECTION 4.4 ■ Laws of Logarithms

• Page 384 and 385:

SECTION 4.4 ■ Laws of Logarithms

• Page 386 and 387:

SECTION 4.4 ■ Laws of Logarithms

• Page 388 and 389:

SECTION 4.5 ■ Exponential and Log

• Page 390 and 391:

SECTION 4.5 ■ Exponential and Log

• Page 392 and 393:

SECTION 4.5 ■ Exponential and Log

• Page 394 and 395:

SECTION 4.5 ■ Exponential and Log

• Page 396 and 397:

SECTION 4.5 ■ Exponential and Log

• Page 398 and 399:

SECTION 4.6 ■ Modeling with Expon

• Page 400 and 401:

SECTION 4.6 ■ Modeling with Expon

• Page 402 and 403:

SECTION 4.6 ■ Modeling with Expon

• Page 404 and 405:

SECTION 4.6 ■ Modeling with Expon

• Page 406 and 407:

SECTION 4.6 ■ Modeling with Expon

• Page 408 and 409:

SECTION 4.7 ■ Logarithmic Scales

• Page 410 and 411:

SECTION 4.7 ■ Logarithmic Scales

• Page 412 and 413:

SECTION 4.7 ■ Logarithmic Scales

• Page 414 and 415:

CHAPTER 4 ■ Review 387 Logarithmi

• Page 416 and 417:

CHAPTER 4 ■ Review 389 11. f1x2

• Page 418 and 419:

CHAPTER 4 TEST 1. Sketch the graph

• Page 420 and 421:

Fitting Exponential and Power Curve

• Page 422 and 423:

Fitting Exponential and Power Curve

• Page 424 and 425:

Fitting Exponential and Power Curve

• Page 426 and 427:

Fitting Exponential and Power Curve

• Page 428 and 429:

5 Trigonometric Functions: Unit Cir

• Page 430 and 431:

SECTION 5.1 ■ The Unit Circle 403

• Page 432 and 433:

SECTION 5.1 ■ The Unit Circle 405

• Page 434 and 435:

SECTION 5.1 ■ The Unit Circle 407

• Page 436 and 437:

SECTION 5.2 ■ Trigonometric Funct

• Page 438 and 439:

SECTION 5.2 ■ Trigonometric Funct

• Page 440 and 441:

SECTION 5.2 ■ Trigonometric Funct

• Page 442 and 443:

SECTION 5.2 ■ Trigonometric Funct

• Page 444 and 445:

SECTION 5.2 ■ Trigonometric Funct

• Page 446 and 447:

SECTION 5.3 ■ Trigonometric Graph

• Page 448 and 449:

SECTION 5.3 ■ Trigonometric Graph

• Page 450 and 451:

SECTION 5.3 ■ Trigonometric Graph

• Page 452 and 453:

SECTION 5.3 ■ Trigonometric Graph

• Page 454 and 455:

SECTION 5.3 ■ Trigonometric Graph

• Page 456 and 457:

SECTION 5.3 ■ Trigonometric Graph

• Page 458 and 459:

SECTION 5.3 ■ Trigonometric Graph

• Page 460 and 461:

SECTION 5.4 ■ More Trigonometric

• Page 462 and 463:

SECTION 5.4 ■ More Trigonometric

• Page 464 and 465:

SECTION 5.4 ■ More Trigonometric

• Page 466 and 467:

SECTION 5.5 ■ Inverse Trigonometr

• Page 468 and 469:

SECTION 5.5 ■ Inverse Trigonometr

• Page 470 and 471:

SECTION 5.5 ■ Inverse Trigonometr

• Page 472 and 473:

SECTION 5.6 ■ Modeling Harmonic M

• Page 474 and 475:

SECTION 5.6 ■ Modeling Harmonic M

• Page 476 and 477:

SECTION 5.6 ■ Modeling Harmonic M

• Page 478 and 479:

SECTION 5.6 ■ Modeling Harmonic M

• Page 480 and 481:

SECTION 5.6 ■ Modeling Harmonic M

• Page 482 and 483:

SECTION 5.6 ■ Modeling Harmonic M

• Page 484 and 485:

SECTION 5.6 ■ Modeling Harmonic M

• Page 486 and 487:

SECTION 5.6 ■ Modeling Harmonic M

• Page 488 and 489:

CHAPTER 5 ■ Review 461 Basic Trig

• Page 490 and 491:

CHAPTER 5 ■ Review 463 12. Suppos

• Page 492 and 493:

CHAPTER 5 TEST y 1. The point P1x,

• Page 494 and 495:

Fitting Sinusoidal Curves to Data 4

• Page 496 and 497:

Fitting Sinusoidal Curves to Data 4

• Page 498 and 499:

6 Trigonometric Functions: Right Tr

• Page 500 and 501:

SECTION 6.1 ■ Angle Measure 473 R

• Page 502 and 503:

SECTION 6.1 ■ Angle Measure 475 w

• Page 504 and 505:

SECTION 6.1 ■ Angle Measure 477 L

• Page 506 and 507:

SECTION 6.1 ■ Angle Measure 479 5

• Page 508 and 509:

SECTION 6.1 ■ Angle Measure 481 8

• Page 510 and 511:

SECTION 6.2 ■ Trigonometry of Rig

• Page 512 and 513:

SECTION 6.2 ■ Trigonometry of Rig

• Page 514 and 515:

SECTION 6.2 ■ Trigonometry of Rig

• Page 516 and 517:

SECTION 6.2 ■ Trigonometry of Rig

• Page 518 and 519:

SECTION 6.3 ■ Trigonometric Funct

• Page 520 and 521:

SECTION 6.3 ■ Trigonometric Funct

• Page 522 and 523:

SECTION 6.3 ■ Trigonometric Funct

• Page 524 and 525:

SECTION 6.3 ■ Trigonometric Funct

• Page 526 and 527:

SECTION 6.3 ■ Trigonometric Funct

• Page 528 and 529:

SECTION 6.4 ■ Inverse Trigonometr

• Page 530 and 531:

SECTION 6.4 ■ Inverse Trigonometr

• Page 532 and 533:

SECTION 6.4 ■ Inverse Trigonometr

• Page 534 and 535:

SECTION 6.4 ■ Inverse Trigonometr

• Page 536 and 537:

SECTION 6.5 ■ The Law of Sines 50

• Page 538 and 539:

SECTION 6.5 ■ The Law of Sines 51

• Page 540 and 541:

SECTION 6.5 ■ The Law of Sines 51

• Page 542 and 543:

SECTION 6.5 ■ The Law of Sines 51

• Page 544 and 545:

SECTION 6.6 ■ The Law of Cosines

• Page 546 and 547:

SECTION 6.6 ■ The Law of Cosines

• Page 548 and 549:

SECTION 6.6 ■ The Law of Cosines

• Page 550 and 551:

SECTION 6.6 ■ The Law of Cosines

• Page 552 and 553:

CHAPTER 6 ■ Review 525 Trigonomet

• Page 554 and 555:

CHAPTER 6 ■ Review 527 12. (a) St

• Page 556 and 557:

CHAPTER 6 ■ Review 529 33-44 ■

• Page 558 and 559:

CHAPTER 6 TEST 1. Find the radian m

• Page 560 and 561:

FOCUS ON MODELING Surveying How can

• Page 562 and 563:

Surveying 535 4. Height of a Cliff

• Page 564 and 565:

• Page 566 and 567:

SECTION 7.1 ■ Trigonometric Ident

• Page 568 and 569:

SECTION 7.1 ■ Trigonometric Ident

• Page 570 and 571:

SECTION 7.1 ■ Trigonometric Ident

• Page 572 and 573:

SECTION 7.2 ■ Addition and Subtra

• Page 574 and 575:

SECTION 7.2 ■ Addition and Subtra

• Page 576 and 577:

SECTION 7.2 ■ Addition and Subtra

• Page 578 and 579:

SECTION 7.2 ■ Addition and Subtra

• Page 580 and 581:

SECTION 7.3 ■ Double-Angle, Half-

• Page 582 and 583:

SECTION 7.3 ■ Double-Angle, Half-

• Page 584 and 585:

SECTION 7.3 ■ Double-Angle, Half-

• Page 586 and 587:

SECTION 7.3 ■ Double-Angle, Half-

• Page 588 and 589:

SECTION 7.3 ■ Double-Angle, Half-

• Page 590 and 591:

SECTION 7.3 ■ Double-Angle, Half-

• Page 592 and 593:

SECTION 7.4 ■ Basic Trigonometric

• Page 594 and 595:

SECTION 7.4 ■ Basic Trigonometric

• Page 596 and 597:

SECTION 7.4 ■ Basic Trigonometric

• Page 598 and 599:

SECTION 7.5 ■ More Trigonometric

• Page 600 and 601:

SECTION 7.5 ■ More Trigonometric

• Page 602 and 603:

SECTION 7.5 ■ More Trigonometric

• Page 604 and 605:

CHAPTER 7 ■ Review 577 Double-Ang

• Page 606 and 607:

CHAPTER 7 ■ Review 579 47. Range

• Page 608 and 609:

FOCUS ON MODELING Traveling and Sta

• Page 610 and 611:

y1x, t2 3 sin p 5 x cos 3t ■ Tr

• Page 612 and 613:

Traveling and Standing Waves 585 6.

• Page 614 and 615:

8 Polar Coordinates and Parametric

• Page 616 and 617:

SECTION 8.1 ■ Polar Coordinates 5

• Page 618 and 619:

SECTION 8.1 ■ Polar Coordinates 5

• Page 620 and 621:

SECTION 8.1 ■ Polar Coordinates 5

• Page 622 and 623:

SECTION 8.2 ■ Graphs of Polar Equ

• Page 624 and 625:

SECTION 8.2 ■ Graphs of Polar Equ

• Page 626 and 627:

SECTION 8.2 ■ Graphs of Polar Equ

• Page 628 and 629:

SECTION 8.2 ■ Graphs of Polar Equ

• Page 630 and 631:

SECTION 8.3 ■ Polar Form of Compl

• Page 632 and 633:

SECTION 8.3 ■ Polar Form of Compl

• Page 634 and 635:

SECTION 8.3 ■ Polar Form of Compl

• Page 636 and 637:

SECTION 8.3 ■ Polar Form of Compl

• Page 638 and 639:

SECTION 8.4 ■ Plane Curves and Pa

• Page 640 and 641:

SECTION 8.4 ■ Plane Curves and Pa

• Page 642 and 643:

SECTION 8.4 ■ Plane Curves and Pa

• Page 644 and 645:

SECTION 8.4 ■ Plane Curves and Pa

• Page 646 and 647:

SECTION 8.4 ■ Plane Curves and Pa

• Page 648 and 649:

CHAPTER 8 ■ Review 621 ■ To cha

• Page 650 and 651:

CHAPTER 8 ■ Review 623 39-42 ■

• Page 652 and 653:

FOCUS ON MODELING The Path of a Pro

• Page 654 and 655:

The Path of a Projectile 627 Now we

• Page 656 and 657:

9 Vectors in Two and Three Dimensio

• Page 658 and 659:

SECTION 9.1 ■ Vectors in Two Dime

• Page 660 and 661:

SECTION 9.1 ■ Vectors in Two Dime

• Page 662 and 663:

SECTION 9.1 ■ Vectors in Two Dime

• Page 664 and 665:

SECTION 9.1 ■ Vectors in Two Dime

• Page 666 and 667:

SECTION 9.2 ■ The Dot Product 639

• Page 668 and 669:

SECTION 9.2 ■ The Dot Product 641

• Page 670 and 671:

SECTION 9.2 ■ The Dot Product 643

• Page 672 and 673:

SECTION 9.2 ■ The Dot Product 645

• Page 674 and 675:

SECTION 9.3 ■ Three-Dimensional C

• Page 676 and 677:

SECTION 9.3 ■ Three-Dimensional C

• Page 678 and 679:

SECTION 9.3 ■ Three-Dimensional C

• Page 680 and 681:

SECTION 9.4 ■ Vectors in Three Di

• Page 682 and 683:

SECTION 9.4 ■ Vectors in Three Di

• Page 684 and 685:

SECTION 9.4 ■ Vectors in Three Di

• Page 686 and 687:

SECTION 9.5 ■ The Cross Product 6

• Page 688 and 689:

SECTION 9.5 ■ The Cross Product 6

• Page 690 and 691:

SECTION 9.5 ■ The Cross Product 6

• Page 692 and 693:

SECTION 9.5 ■ The Cross Product 6

• Page 694 and 695:

SECTION 9.6 ■ Equations of Lines

• Page 696 and 697:

SECTION 9.6 ■ Equations of Lines

• Page 698 and 699:

CHAPTER 9 ■ Review 671 The Dot Pr

• Page 700 and 701:

CHAPTER 9 ■ Review 673 ■ exerci

• Page 702 and 703:

CHAPTER 9 TEST 1. Let u be the vect

• Page 704 and 705:

Vector Fields 677 _5 5 5 Graphing v

• Page 706 and 707:

10 Systems of Equations and Inequal

• Page 708 and 709:

SECTION 10.1 ■ Systems of Linear

• Page 710 and 711:

SECTION 10.1 ■ Systems of Linear

• Page 712 and 713:

SECTION 10.1 ■ Systems of Linear

• Page 714 and 715:

SECTION 10.1 ■ Systems of Linear

• Page 716 and 717:

SECTION 10.1 ■ Systems of Linear

• Page 718 and 719:

SECTION 10.2 ■ Systems of Linear

• Page 720 and 721:

SECTION 10.2 ■ Systems of Linear

• Page 722 and 723:

SECTION 10.2 ■ Systems of Linear

• Page 724 and 725:

SECTION 10.2 ■ Systems of Linear

• Page 726 and 727:

SECTION 10.3 ■ Matrices and Syste

• Page 728 and 729:

SECTION 10.3 ■ Matrices and Syste

• Page 730 and 731:

SECTION 10.3 ■ Matrices and Syste

• Page 732 and 733:

SECTION 10.3 ■ Matrices and Syste

• Page 734 and 735:

SECTION 10.3 ■ Matrices and Syste

• Page 736 and 737:

SECTION 10.3 ■ Matrices and Syste

• Page 738 and 739:

SECTION 10.3 ■ Matrices and Syste

• Page 740 and 741:

SECTION 10.4 ■ The Algebra of Mat

• Page 742 and 743:

SECTION 10.4 ■ The Algebra of Mat

• Page 744 and 745:

SECTION 10.4 ■ The Algebra of Mat

• Page 746 and 747:

SECTION 10.4 ■ The Algebra of Mat

• Page 748 and 749:

SECTION 10.4 ■ The Algebra of Mat

• Page 750 and 751:

SECTION 10.4 ■ The Algebra of Mat

• Page 752 and 753:

SECTION 10.5 ■ Inverses of Matric

• Page 754 and 755:

SECTION 10.5 ■ Inverses of Matric

• Page 756 and 757:

SECTION 10.5 ■ Inverses of Matric

• Page 758 and 759:

SECTION 10.5 ■ Inverses of Matric

• Page 760 and 761:

SECTION 10.5 ■ Inverses of Matric

• Page 762 and 763:

SECTION 10.6 ■ Determinants and C

• Page 764 and 765:

SECTION 10.6 ■ Determinants and C

• Page 766 and 767:

SECTION 10.6 ■ Determinants and C

• Page 768 and 769:

SECTION 10.6 ■ Determinants and C

• Page 770 and 771:

SECTION 10.6 ■ Determinants and C

• Page 772 and 773:

SECTION 10.7 ■ Partial Fractions

• Page 774 and 775:

SECTION 10.7 ■ Partial Fractions

• Page 776 and 777:

SECTION 10.7 ■ Partial Fractions

• Page 778 and 779:

SECTION 10.8 ■ Systems of Nonline

• Page 780 and 781:

SECTION 10.8 ■ Systems of Nonline

• Page 782 and 783:

SECTION 10.8 ■ Systems of Nonline

• Page 784 and 785:

SECTION 10.9 ■ Systems of Inequal

• Page 786 and 787:

SECTION 10.9 ■ Systems of Inequal

• Page 788 and 789:

SECTION 10.9 ■ Systems of Inequal

• Page 790 and 791:

SECTION 10.9 ■ Systems of Inequal

• Page 792 and 793:

SECTION 10.9 ■ Systems of Inequal

• Page 794 and 795:

CHAPTER 10 ■ Review 767 2. The le

• Page 796 and 797:

CHAPTER 10 ■ Review 769 ■ CONCE

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CHAPTER 10 ■ Review 771 44. Numbe

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CHAPTER 10 TEST 1-2 ■ A system of

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FOCUS ON MODELING Linear Programmin

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Linear Programming 777 Guidelines f

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Linear Programming 779 Problems 1-4

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11 Conic Sections Harald Sund/The I

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SECTION 11.1 ■ Parabolas 783 By t

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SECTION 11.1 ■ Parabolas 785 Exam

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SECTION 11.1 ■ Parabolas 787 ■

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SECTION 11.1 ■ Parabolas 789 25-3

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SECTION 11.2 ■ Ellipses 791 The g

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SECTION 11.2 ■ Ellipses 793 Examp

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SECTION 11.2 ■ Ellipses 795 DeFIn

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SECTION 11.2 ■ Ellipses 797 7. 4x

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SECTION 11.3 ■ Hyperbolas 799 69.

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SECTION 11.3 ■ Hyperbolas 801 Asy

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SECTION 11.3 ■ Hyperbolas 803 SOL

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SECTION 11.3 ■ Hyperbolas 805 11.

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SECTION 11.4 ■ Shifted Conics 807

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SECTION 11.4 ■ Shifted Conics 809

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SECTION 11.4 ■ Shifted Conics 811

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SECTION 11.4 ■ Shifted Conics 813

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SECTION 11.4 ■ Shifted Conics 815

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SECTION 11.5 ■ Rotation of Axes 8

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SECTION 11.5 ■ Rotation of Axes 8

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SECTION 11.5 ■ Rotation of Axes 8

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SECTION 11.5 ■ Rotation of Axes 8

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SECTION 11.6 ■ Polar Equations of

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SECTION 11.6 ■ Polar Equations of

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SECTION 11.6 ■ Polar Equations of

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CHAPTER 11 ■ Review 831 DiSCUSS

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CHAPTER 11 ■ Review 833 6. (a) Su

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CHAPTER 11 TEST 1. Find the focus a

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Conics in Architecture 837 C P Circ

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Conics in Architecture 839 Kobe Tow

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12 Sequences and Series © Mircea B

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SECTION 12.1 ■ Sequences and Summ

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SECTION 12.1 ■ Sequences and Summ

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SECTION 12.1 ■ Sequences and Summ

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SECTION 12.1 ■ Sequences and Summ

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SECTION 12.1 ■ Sequences and Summ

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SECTION 12.2 ■ Arithmetic Sequenc

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SECTION 12.2 ■ Arithmetic Sequenc

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SECTION 12.2 ■ Arithmetic Sequenc

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SECTION 12.3 ■ Geometric Sequence

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SECTION 12.3 ■ Geometric Sequence

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SECTION 12.3 ■ Geometric Sequence

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SECTION 12.3 ■ Geometric Sequence

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SECTION 12.4 ■ Mathematics of Fin

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SECTION 12.4 ■ Mathematics of Fin

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SECTION 12.4 ■ Mathematics of Fin

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SECTION 12.5 ■ Mathematical Induc

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SECTION 12.5 ■ Mathematical Induc

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SECTION 12.5 ■ Mathematical Induc

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SECTION 12.6 ■ The Binomial Theor

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SECTION 12.6 ■ The Binomial Theor

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SECTION 12.6 ■ The Binomial Theor

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SECTION 12.6 ■ The Binomial Theor

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CHAPTER 12 ■ Review 887 45. 8a 3

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CHAPTER 12 ■ Review 889 ■ CONCE

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CHAPTER 12 ■ Review 891 55-60 ■

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FOCUS ON MODELING Modeling with Rec

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Modeling with Recursive Sequences 8

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13 PF-(space1)/Alamy Limits: A Prev

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SECTION 13.1 ■ Finding Limits Num

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SECTION 13.1 ■ Finding Limits Num

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SECTION 13.1 ■ Finding Limits Num

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SECTION 13.1 ■ Finding Limits Num

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SECTION 13.2 ■ Finding Limits Alg

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SECTION 13.2 ■ Finding Limits Alg

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SECTION 13.2 ■ Finding Limits Alg

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SECTION 13.2 ■ Finding Limits Alg

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SECTION 13.3 ■ Tangent Lines and

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SECTION 13.3 ■ Tangent Lines and

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SECTION 13.3 ■ Tangent Lines and

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SECTION 13.3 ■ Tangent Lines and

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SECTION 13.3 ■ Tangent Lines and

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SECTION 13.4 ■ Limits at Infinity

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SECTION 13.4 ■ Limits at Infinity

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SECTION 13.4 ■ Limits at Infinity

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SECTION 13.5 ■ Areas 931 Applicat

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SECTION 13.5 ■ Areas 933 y (1, 1)

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SECTION 13.5 ■ Areas 935 y y y n=

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SECTION 13.5 ■ Areas 937 y 25 5 0

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SECTION 13.5 ■ Areas 939 5-8 ■

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CHAPTER 13 ■ Review 941 ■ CONCE

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CHAPTER 13 TEST 1. (a) Use a table

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Interpretations of Area 945 It seem

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Interpretations of Area 947 (b) Wha

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APPENDIX A Geometry Review In this

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APPENDIX A ■ Geometry Review 951

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APPENDIX A ■ Geometry Review 953

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ANSWERS to Selected Exercises and C

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Answers to Section 1.8 A3 51. 1 53.

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Answers to Section 1.9 A5 55. y 57.

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Answers to Chapter 1 Review A7 2 69

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Answers to Chapter 1 Test A9 127. (

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Answers to Section 2.2 A11 43. 5 2

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Answers to Section 2.3 A13 69. (a)

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Answers to Section 2.6 A15 23. (a)

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Answers to Section 2.7 A17 83. Even

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Answers to Chapter 2 Review A19 85.

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Answers to Section 3.1 A21 9. (a) S

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Answers to Section 3.2 A23 (c) y (d

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Answers to Section 3.6 A25 67. 2x 4

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Answers to Section 3.6 A27 59. y 6

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Answers to Chapter 3 Review A29 19.

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Answers to Section 4.1 A31 Focus on

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Answers to Section 4.3 A33 25. (a)

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Answers to Chapter 4 Review A35 3.

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Answers to Section 5.3 A37 Section

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Answers to Section 5.4 A39 85. (a)

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Answers to Chapter 5 Review A41 13.

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Answers to Chapter 5 Focus on Model

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Answers to Chapter 6 Review A45 51.

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Answers to Section 7.2 A47 73. LHS

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Answers to Section 7.5 A49 1sin x

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Answers to Section 8.2 A51 4. LHS

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Answers to Section 8.3 A53 4. n; fo

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Answers to Chapter 8 Review A55 15.

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Answers to Chapter 8 Test A57 29. (

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Answers to Section 9.6 A59 3. (a) u

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Answers to Section 10.3 A61 9. 11.

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Answers to Section 10.8 A63 7 1 2

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Answers to Section 10.9 A65 39. 41.

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Answers to Section 11.1 A67 Chapter

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Answers to Section 11.3 A69 25. (a)

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Answers to Section 11.4 A71 9. (a)

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Answers to Chapter 11 Review A73 2.

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Answers to Chapter 11 Test A75 51.

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Answers to Section 12.5 A77 9. (a)

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Answers to Chapter 12 Review A79 25

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Answers to Section 13.3 A81 Focus o

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Answers to Appendix A A83 9. x 125

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INDEX Abel, Niels Henrik, 286 Absol

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Index I3 Cotangent function, 409 co

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Index I5 methods for representing,

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Index I7 Linear programming, 775-78

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Index I9 graphs of, 255-265 guideli

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Index I11 Stefan Boltzmann Law, 182

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chapter 1 Review: Concept Check Ans

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✃ Cut here and keep for reference

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chapter 2 Review: Concept Check Ans

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chapter 3 Review: Concept Check Ans

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chapter 4 Review: Concept Check Ans

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✃ Cut here and keep for reference

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chapter 6 Review: Concept Check Ans

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chapter 7 Review: Concept Check Ans

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sequences and series Arithmetic a,

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fundamental identities formulaS FOR

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