|
Chapter 0 Precalculus Review |
|
|
1 | (48) |
|
|
2 | (1) |
|
|
2 | (5) |
|
0.2 Exponents and Radicals |
|
|
7 | (7) |
|
0.3 Using Exponent Identities |
|
|
14 | (4) |
|
0.4 Multiplying and Factoring Algebraic Expressions |
|
|
18 | (6) |
|
|
24 | (2) |
|
0.6 Solving Polynomial Equations |
|
|
26 | (7) |
|
0.7 Solving Miscellaneous Equations |
|
|
33 | (4) |
|
|
37 | (4) |
|
|
41 | (8) |
|
Chapter 1 Functions and Applications |
|
|
49 | (78) |
|
|
50 | (1) |
|
1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints |
|
|
50 | (15) |
|
|
65 | (17) |
|
1.3 Linear Functions and Models |
|
|
82 | (17) |
|
|
99 | (11) |
|
|
110 | (1) |
|
|
110 | (3) |
|
Case Study Modeling YouTube Viewership |
|
|
113 | (4) |
|
|
117 | (10) |
|
Chapter 2 Nonlinear Functions and Models |
|
|
127 | (64) |
|
|
128 | (1) |
|
2.1 Quadratic Functions and Models |
|
|
128 | (11) |
|
2.2 Exponential Functions and Models |
|
|
139 | (11) |
|
2.3 The Number e and Exponential Growth and Decay |
|
|
150 | (10) |
|
2.4 Logistic and Logarithmic Functions and Models |
|
|
160 | (19) |
|
|
179 | (1) |
|
|
179 | (3) |
|
Case Study Projecting Market Growth |
|
|
182 | (3) |
|
|
185 | (6) |
|
Chapter 3 Introduction to the Derivative |
|
|
191 | (102) |
|
|
192 | (1) |
|
3.1 Limits: Numerical and Graphical Viewpoints |
|
|
192 | (15) |
|
3.2 Limits: Algebraic Viewpoint |
|
|
207 | (17) |
|
3.3 Limits and Continuity |
|
|
224 | (8) |
|
3.4 Average Rate of Change |
|
|
232 | (15) |
|
3.5 The Derivative: Numerical and Graphical Viewpoints |
|
|
247 | (23) |
|
3.6 The Derivative: Algebraic Viewpoint |
|
|
270 | (10) |
|
|
280 | (1) |
|
|
280 | (4) |
|
Case Study Reducing Sulfur Emissions |
|
|
284 | (4) |
|
|
288 | (5) |
|
Chapter 4 Techniques of Differentiation |
|
|
293 | (82) |
|
|
294 | (1) |
|
4.1 Derivatives of Powers, Sums, and Constant Multiples |
|
|
294 | (14) |
|
4.2 A First Application: Marginal Analysis |
|
|
308 | (10) |
|
4.3 The Product and Quotient Rules |
|
|
318 | (13) |
|
|
331 | (13) |
|
4.5 Derivatives of Logarithmic and Exponential Functions |
|
|
344 | (13) |
|
4.6 Implicit Differentiation |
|
|
357 | (6) |
|
|
363 | (1) |
|
|
364 | (2) |
|
Case Study Tracking the COVID-19 Epidemic in the U.S. |
|
|
366 | (9) |
|
Chapter 5 Further Applications of the Derivative |
|
|
375 | (92) |
|
|
376 | (1) |
|
|
376 | (15) |
|
5.2 Applications of Maxima and Minima |
|
|
391 | (14) |
|
5.3 Higher Order Derivatives: Acceleration and Concavity |
|
|
405 | (16) |
|
|
421 | (11) |
|
5.5 Differentials, Linear Approximation, and Error Estimation |
|
|
432 | (7) |
|
|
439 | (10) |
|
|
449 | (8) |
|
|
457 | (1) |
|
|
457 | (4) |
|
Case Study Production tot Size Management |
|
|
461 | (4) |
|
|
465 | (2) |
|
|
467 | (70) |
|
|
468 | (1) |
|
6.1 The Indefinite Integral |
|
|
468 | (16) |
|
|
484 | (12) |
|
6.3 The Definite Integral |
|
|
496 | (19) |
|
6.4 The Fundamental Theorem of Calculus |
|
|
515 | (11) |
|
|
526 | (1) |
|
|
527 | (2) |
|
Case Study Spending on Housing Construction |
|
|
529 | (5) |
|
|
534 | (3) |
|
Chapter 7 Further Integration Techniques and Applications of the Integral |
|
|
537 | (64) |
|
|
538 | (1) |
|
|
538 | (8) |
|
7.2 Area between Two Curves |
|
|
546 | (8) |
|
7.3 Averages and Moving Averages |
|
|
554 | (9) |
|
7.4 Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams |
|
|
563 | (9) |
|
7.5 Improper Integrals and Applications |
|
|
572 | (9) |
|
7.6 Differential Equations and Applications |
|
|
581 | (9) |
|
|
590 | (1) |
|
|
591 | (1) |
|
Case Study Estimating Tax Revenues |
|
|
592 | (6) |
|
|
598 | (3) |
|
Chapter 8 Functions of Several Variables |
|
|
601 | (64) |
|
|
602 | (1) |
|
8.1 Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints |
|
|
602 | (17) |
|
|
619 | (9) |
|
|
628 | (9) |
|
8.4 Constrained Maxima and Minima and Applications |
|
|
637 | (8) |
|
8.5 Double Integrals and Applications |
|
|
645 | (9) |
|
|
654 | (1) |
|
|
654 | (3) |
|
Case Study Modeling College Population |
|
|
657 | (5) |
|
|
662 | (3) |
|
Chapter 9 Trigonometric Models |
|
|
665 | (1) |
|
|
666 | (1) |
|
9.1 Trigonometric Functions, Models, and Regression |
|
|
666 | (13) |
|
9.2 Derivatives of Trigonometric Functions and Applications |
|
|
679 | (8) |
|
9.3 Integrals of Trigonometric Functions and Applications |
|
|
687 | (8) |
|
|
695 | (1) |
|
|
695 | (2) |
|
Case Study Predicting Airline Empty Seat Volume |
|
|
697 | (4) |
|
|
701 | |
Answers to Selected Exercises |
|
1 | (1) |
Index |
|
1 | (112) |
Index of Applications |
|
113 | (4) |
Index of Companies and Agencies |
|
117 | |