Applied Calculus
Solutions
EIGHTH
EDITION
Stefan Waner
Hofstra University
Steven R. Costenoble
Hofstra University
,BRIEF CONTENTS
CHAPTER 0 Precalculus Review 1
CHAPTER 1 Functions and Applications 32
CHAPTER 2 Nonlinear Functions and Models 120
CHAPTER 3 Introduction to the Derivative 177
CHAPTER 4 Techniques of Differentiation 255
CHAPTER 5 Further Applications of the Derivative 330
CHAPTER 6 The Integral 459
CHAPTER 7 F urther Integration Techniques and
Applications of the Integral 522
CHAPTER 8 Functions of Several Variables 604
CHAPTER 9 Trigonometric Models 664
v
,CONTENTS
CHAPTER 0 Precalculus Review 1
0.1 Solutions Section 1
0.2 Solutions Section 4
0.3 Solutions Section 7
0.4 Solutions Section 10
0.5 Solutions Section 14
0.6 Solutions Section 16
0.7 Solutions Section 19
0.8 Solutions Section 22
0.9 Solutions Section 27
CHAPTER 1 Functions and Applications 32
1.1 Solutions Section 32
1.2 Solutions Section 49
1.3 Solutions Section 64
1.4 Solutions Section 86
SOLUTIONS CHAPTER 1 REVIEW 106
CASE STUDY Solutions Chapter 1 119
CHAPTER 2 Nonlinear Functions and Models 120
2.1 Solutions Section 120
2.2 Solutions Section 132
2.3 Solutions Section 147
2.4 Solutions Section 154
SOLUTIONS CHAPTER 2 REVIEW 168
CASE STUDY Solutions Chapter 2 175
CHAPTER 3 Introduction to the Derivative 177
3.1 Solutions Section 177
3.2 Solutions Section 188
3.3 Solutions Section 199
3.4 Solutions Section 205
vii
, viii Contents
3.5 Solutions Section 220
3.6 Solutions Section 237
SOLUTIONS CHAPTER 3 REVIEW 246
CASE STUDY Solutions Chapter 3 254
CHAPTER 4 Techniques of Differentiation 255
4.1 Solutions Section 255
4.2 Solutions Section 267
4.3 Solutions Sections 273
4.4 Solutions Section 284
4.5 Solutions Section 294
4.6 Solutions Section 308
SOLUTIONS CHAPTER 4 REVIEW 319
CASE STUDY Solutions Chapter 4 328
CHAPTER 5 Further Applications of the Derivative 330
5.1 Solutions Section 330
5.2 Solutions Section 358
5.3 Solutions Section 379
5.4 Solutions Section 395
5.5 Solutions Section 415
5.6 Solutions Section 425
5.7 Solutions Section 440
SOLUTIONS CHAPTER 5 REVIEW 446
CASE STUDY Solutions Chapter 5 458
CHAPTER 6 The Integral 459
6.1 Solutions Section 459
6.2 Solutions Section 472
6.3 Solutions Section 488
6.4 Solutions Section 501
SOLUTIONS CHAPTER 6 REVIEWS 513
CASE STUDY Solutions Chapter 6 520
CHAPTER 7 Further Integration Techniques and Applications
of the Integral 522
7.1 Solutions Section 522
7.2 Solutions Section 545
7.3 Solutions Section 555
7.4 Solutions Section 568
Solutions
EIGHTH
EDITION
Stefan Waner
Hofstra University
Steven R. Costenoble
Hofstra University
,BRIEF CONTENTS
CHAPTER 0 Precalculus Review 1
CHAPTER 1 Functions and Applications 32
CHAPTER 2 Nonlinear Functions and Models 120
CHAPTER 3 Introduction to the Derivative 177
CHAPTER 4 Techniques of Differentiation 255
CHAPTER 5 Further Applications of the Derivative 330
CHAPTER 6 The Integral 459
CHAPTER 7 F urther Integration Techniques and
Applications of the Integral 522
CHAPTER 8 Functions of Several Variables 604
CHAPTER 9 Trigonometric Models 664
v
,CONTENTS
CHAPTER 0 Precalculus Review 1
0.1 Solutions Section 1
0.2 Solutions Section 4
0.3 Solutions Section 7
0.4 Solutions Section 10
0.5 Solutions Section 14
0.6 Solutions Section 16
0.7 Solutions Section 19
0.8 Solutions Section 22
0.9 Solutions Section 27
CHAPTER 1 Functions and Applications 32
1.1 Solutions Section 32
1.2 Solutions Section 49
1.3 Solutions Section 64
1.4 Solutions Section 86
SOLUTIONS CHAPTER 1 REVIEW 106
CASE STUDY Solutions Chapter 1 119
CHAPTER 2 Nonlinear Functions and Models 120
2.1 Solutions Section 120
2.2 Solutions Section 132
2.3 Solutions Section 147
2.4 Solutions Section 154
SOLUTIONS CHAPTER 2 REVIEW 168
CASE STUDY Solutions Chapter 2 175
CHAPTER 3 Introduction to the Derivative 177
3.1 Solutions Section 177
3.2 Solutions Section 188
3.3 Solutions Section 199
3.4 Solutions Section 205
vii
, viii Contents
3.5 Solutions Section 220
3.6 Solutions Section 237
SOLUTIONS CHAPTER 3 REVIEW 246
CASE STUDY Solutions Chapter 3 254
CHAPTER 4 Techniques of Differentiation 255
4.1 Solutions Section 255
4.2 Solutions Section 267
4.3 Solutions Sections 273
4.4 Solutions Section 284
4.5 Solutions Section 294
4.6 Solutions Section 308
SOLUTIONS CHAPTER 4 REVIEW 319
CASE STUDY Solutions Chapter 4 328
CHAPTER 5 Further Applications of the Derivative 330
5.1 Solutions Section 330
5.2 Solutions Section 358
5.3 Solutions Section 379
5.4 Solutions Section 395
5.5 Solutions Section 415
5.6 Solutions Section 425
5.7 Solutions Section 440
SOLUTIONS CHAPTER 5 REVIEW 446
CASE STUDY Solutions Chapter 5 458
CHAPTER 6 The Integral 459
6.1 Solutions Section 459
6.2 Solutions Section 472
6.3 Solutions Section 488
6.4 Solutions Section 501
SOLUTIONS CHAPTER 6 REVIEWS 513
CASE STUDY Solutions Chapter 6 520
CHAPTER 7 Further Integration Techniques and Applications
of the Integral 522
7.1 Solutions Section 522
7.2 Solutions Section 545
7.3 Solutions Section 555
7.4 Solutions Section 568
