9781305465053

Applied Calculus

Andrew M. Rockett, Geoffrey C. Berresford

7th Edition

2.1

Limits and Continuity

Exercises

p.83

2.2

Rates of Change, Slopes, and Derivatives

Exercises

p.96

2.3

Some Differentiation Formulas

Exercises

p.110

2.4

The Product and Quotient Rules

Exercises

p.124

2.5

Higher-Order Derivatives

Exercises

p.136

2.6

The Chain Rule and the Generalized Power Rule

Exercises

p.147

2.7

Nondifferentiable Functions

Exercises

p.155

Review Exercise and Chapter Test

p.157

3.1

Graphing Using the First Derivative

Exercises

p.173

3.2

Graphing Using the First and Second Derivatives

Exercises

p.186

3.3

Optimization

Exercises

p.199

3.4

Further Applications of Optimization

Exercises

p.209

3.5

Optimizing Lot Size and Harvest Size

Exercises

p.217

3.6

Implicit Differentiation and Related Rates

Exercises

p.226

3.7

Differentials, Approximations, and Marginal Analysis

Exercises

p.236

Review Exercises and Chapter Test

p.240

Cumulative Review for Chapters 1-3

p.243

5.1

Antiderivatives and Indefinite Integrals

Exercises

p.317

5.2

Integration Using Logarithmic and Exponential Functions

Exercises

p.327

5.3

Define Integrals and Areas

Exercises

p.340

5.4

Further Applications of Definite Integrals: Average Value and Area Between Curves

Exercises

p.352

5.5

Two Applications to Economics: Consumers' Surplus and Income Distribution

Exercises

p.363

5.6

Integration by Substitution

Exercises

p.374

Review Exercises and Chapter Test

p.378

7.1

Functions of Several Variables

Exercises

p.441

7.2

Partial Derivatives

Exercises

p.454

7.3

Optimizing Functions of Several Variables

Exercises

p.466

7.4

Least Squares

Exercises

p.476

7.5

Lagrange Multipliers and Constrained Optimization

Exercises

p.490

7.6

Total Differentials, Approximate Changes, and Marginal Analysis

Exercises

p.502

7.7

Multiple Integrals

Exercises

p.514

Review Exercises and Chapter Test

p.518

Cumulative Review for Chapters 1-7

p.520

8.1

Triangles, Angles, and Radian Measure

Exercises

p.533

8.2

Sine and Cosine Functions

Exercises

p.543

8.3

Derivatives of Sine and Cosine Functions

Exercises

p.556

8.4

Integrals of Sine and Cosine Functions

Exercises

p.565

8.5

Other Trigonometric Functions

Exercises

p.578

Review Exercises and Chapter Test

p.583

9.1

Separation of Variables

Exercises

p.600

9.2

Further Applications of Differential Equations: Three Models of Growth

Exercises

p.614

9.3

First-Order Linear Differential Equations

Exercises

p.627

9.4

Approximate Solutions of Differential Equations: Euler's Method

Exercises

p.636

Review Exercises and Chapter Test

p.639