9780470533048

Calculus Early Transcendentals Single Variable, Textbook and Student Solutions Manual

Howard Anton, Irl C. Bivens, Stephen Davis

9th Edition

The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the

1.1

Limits (An Intuitive Approach)

Exercises

p.77

1.2

Computing Limits

Exercises

p.87

1.3

Limits at Infinity; End Behavior of a Function

Exercises

p.96

1.4

Limits (Discussed More Rigorously)

Exercises

p.106

1.5

Continuity

Exercises

p.118

1.6

Continuity of Trigonometric, Exponential, and Inverse Functions

Exercises

p.125

Chapter Review Exercises

p.128

2.1

Tangent Lines and Rates of Change

Exercise Set

p.140

2.2

The Derivative Function

Exercise Set

p.152

2.3

Introduction to Techniques of Differentiation

Exercise Set

p.161

2.4

The Product and Quotient Rules

Exercise Set

p.168

2.5

Derivaties of Trigonometric Functions

Exercise Set

p.172

2.6

The Chain Rule

Exercise Set

p.178

Review Exercises

p.181

Making Connections

p.184

3.1

Implicit Differentiation

Exercise Set

p.190

3.2

Derivatives of Logarithmic Functions

Exercise Set

p.195

3.3

Derivatives of Exponential and Inverse Trigonometric Functions

Exercise Set

p.201

3.4

Related Rates

Exercise Set

p.208

3.5

Local Linear Approximation; Differentials

Exercise Set

p.217

3.6

L'Hopital's Rule; Indeterminate Forms

Exercise Set

p.226

Review Exercises

p.228

Making Connections

p.230

4.1

Analysis of Functions I: Increase, Decrease, and Concavity

Exercise Set

p.241

4.2

Analysis of Functions II: Relative Extrema; Grpahing Polynomials

Exercise Set

p.252

4.3

Analysis of Functions III: Rational Functions, Cusps, and Vertical Tangents

Exercise Set

p.264

4.4

Absolute Maxima and Minima

Exercise Set

p.272

4.5

Applied Maximum and Minimum Problems

Exercise Set

p.283

4.6

Rectilinear Motion

Exercise Set

p.294

4.7

Newton's Method

Exercise Set

p.300

4.8

Rolle's Theorem; Mean-Value Theorem

Exercise Set

p.308

Review Exercises

p.310

Making Connections

p.314

5.1

An Overview of the Area Problem

Exercise Set

p.321

5.2

The Indefinite Integral

Exercise Set

p.330

5.3

Integration by Substitution

Exercise Set

p.338

5.4

The Definition of Area as a Limit; Sigma Notation

Exercise Set

p.350

5.5

The Definite Integral

Exercise Set

p.360

5.6

The Fundamental Theorem of Calculus

Exercise Set

p.373

5.7

Rectilinear Motion Revisited Using Integration

Exercise Set

p.382

5.8

Average Value of a Function and its Applications

Exercise Set

p.388

5.9

Evaluating Definite Integrals by Substitution

Exercise Set

p.394

5.10

Logarithmic and Other Functions Defined by Integrals

Exercise Set

p.406

Review Exercises

p.408

Making Connections

p.412

6.1

Area Between Two Curves

Exercise Set

p.419

6.2

Volumes by Slicing; Disks and Washers

Exercise Set

p.428

6.3

Volumes by Cylindrical Shells

Exercise Set

p.436

6.4

Length of a Plane Curve

Exercise Set

p.441

6.5

Area of a Surface of Revolution

Exercise Set

p.447

6.6

Work

Exercise Set

p.456

6.7

Moments, Centers of Gravity, and Centroids

Exercise Set

p.465

6.8

Fluid Pressure and Force

Exercise Set

p.472

6.9

Hyperbolic Functions and Hanging Cables

Exercise Set

p.482

Review Exercises

p.485

Making Connections

p.487

7.1

An Overview of Integration Methods

Exercise Set

p.490

7.2

Integration by Parts

Exercise Set

p.498

7.3

Integration Trigonometric Functions

Exercise Set

p.506

7.4

Trigonometric Substitutions

Exercise Set

p.513

7.5

Integrating Rational Functions by Partial Fractions

Exercise Set

p.521

7.6

Using Computer Algebra Systems and Tables of Integrals

Exercise Set

p.531

7.7

Numerical Integration; Simpson's Rule

Exercise Set

p.544

7.8

Improper Integrals

Exercise Set

p.554

Review Exercises

p.557

Making Connections

p.559

9.1

Sequences

Exercise Set

p.605

9.2

Monotone Sequences

Exercise Set

p.613

9.3

Infinite Series

Exercise Set

p.621

9.4

Convergence Tests

Exercise Set

p.629

9.5

The Comparison, Ration, and Root Tests

Exercise Set

p.636

9.6

Alternating Series; Absolute and Conditional Convergence

Exercise Set

p.646

9.7

Maclaurin and Taylor Polynomials

Exercise Set

p.657

9.8

Maclaurin and Taylor Series; Power Series

Exercise Set

p.667

9.9

Convergence of Taylor Series

Exercise Set

p.676

9.10

Differentiating and Integrating Power Series; Modeling with Taylor Series

Exercise Set

p.686

Review Exercises

p.689

Making Connections

p.691

10.1

Parametric Equations; Tangent Lines and Arc Length for Parametric Curves

Exercise Set

p.700

10.2

Polar Coordinates

Exercise Set

p.716

10.3

Tangent Lines, Arc Length, and Area for Polar Curves

Exercise Set

p.726

10.4

Conic Sections

Exercise Set

p.744

10.5

Rotation of Axes; Second-Degree Equations

Exercise Set

p.753

10.6

Conic Sections in Polar Coordinates

Exercise Set

p.761

Review Exercises

p.763

Making Connections

p.766