9780558978686

MyMathLabPlus for Thomas's Calculus Early Transcendentals

Thomas

12th Edition

1.1

Functions and their Graphs

Exercises

p.11

1.2

Combining Functions; Shifting and Scaling Graphs

Exercises

p.19

1.3

Trigonometric Functions

Exercises

p.28

1.4

Graphing with Calculators and Computers

Exercises

p.34

1.5

Exponential Functions

Exercises

p.39

1.6

Inverse Functions and Logarithms

Exercises

p.50

Questions to Guide Your Review

p.52

Practice Exercises

p.53

Additional and Advanced Exercises

p.55

2.1

Rates of Change and Tangents to Curves

Exercises

p.63

2.2

Limit of a Function and Limit Laws

Exercises

p.73

2.3

The Precise Definition of a Limit

Exercises

p.82

2.4

One-Sided Limits

Exercises

p.90

2.5

Continuity

Exercises

p.101

2.6

Limits Involving Infinity; Asymptotes of Graphs

Exercises

p.114

Questions to Guide Your Review

p.116

Practice Exercises

p.117

Additional and Advanced Exercises

p.119

3.1

Tangents and the Derivative at a Point

Exercises

p.125

3.2

The Derivative as a Function

Exercises

p.131

3.3

Differentiation Rules

Exercises

p.143

3.4

The Derivative as a Rate of Change

Exercises

p.152

3.5

Derivatives of Trigonmetric Functions

Exercises

p.159

3.6

The Chain Rule

Exercises

p.167

3.7

Implicit Differentiation

Exercises

p.174

3.8

Derivatives of Inverse Functions and Logarithms

Exercises

p.184

3.9

Inverse Trigonometric Functions

Exercises

p.191

3.10

Related Rates

Exercises

p.197

3.11

Linearization and Differentials

Exercises

p.210

Questions to Guide Your Review

p.212

Practice Exercises

p.213

Additional and Advanced Exercises

p.218

4.1

Extreme Values of Functions

Exercises

p.227

4.2

The Mean Value Theorem

Exercises

p.236

4.3

Monotonic Functions and the First Derivative Test

Exercises

p.241

4.4

Concavity and Curve Sketching

Exercises

p.251

4.5

Indeterminate Forms and L'Hopital's Rule

Exercises

p.261

4.6

Applied Optimization

Exercises

p.268

4.7

Newton's Method

Exercises

p.277

4.8

Antiderivatives

Exercises

p.285

Questions to Guide Your Review

p.289

Practice Exercises

p.289

Additional and Advanced Exercises

p.293

5.1

Area and Estimating with Finite Sums

Exercises

p.304

5.2

Sigma Notation and Limits of Finite Sums

Exercises

p.312

5.3

The Definite Integral

Exercises

p.321

5.4

The Fundamental Theorem of Calculus

Exercises

p.333

5.5

Indefinite Integrals and the Substitution Method

Exercises

p.342

5.6

Substitution and Area Between Curves

Exercises

p.350

Questions to Guide Your Review

p.354

Practice Exercises

p.354

Additional and Advanced Exercises

p.358

6.1

Volumes Using Cross-Sections

Exercises

p.371

6.2

Volumes Using Cylindrical Shells

Exercises

p.379

6.3

Arc Length

Exercises

p.386

6.4

Areas of Surfaces of Revolution

Exercises

p.391

6.5

Work

Exercises

p.398

6.6

Moments and Centers of Mass

Exercises

p.411

Questions to Guide Your Review

p.413

Practice Exercises

p.413

Additional and Advanced Exercises

p.415

7.1

The Logarithm Defined as an Integral

Exercises

p.425

7.2

Exponential Change and Separable Differential Equations

Exercises

p.433

7.3

Hyperbolic Functions

Exercises

p.441

7.4

Relative Rates of Growth

Exercises

p.448

Questions to Guide Your Review

p.450

Practice Exercises

p.450

Additional and Advanced Exercises

p.451

8.1

Integration by Parts

Exercises

p.459

8.2

Trigonometric Integrals

Exercises

p.466

8.3

Trigonometric Substitutions

Exercises

p.470

8.4

Integration of Rational Functions by Partial Functions

Exercises

p.479

8.5

Integral Tables and Computer Algebra Systems

Exercises

p.485

8.6

Numerical Integration

Exercises

p.493

8.7

Improper Integrals

Exercises

p.505

Questions to Guide Your Review

p.507

Practice Exercises

p.507

Additional and Advanced Exercises

p.509

9.1

Solutions, Slope Fields, and Euler's Method

Exercises

p.520

9.2

First-Order Linear Equations

Exercises

p.526

9.3

Applications

Exercises

p.533

9.4

Graphical Solutions of Autonomous Equations

Exercises

p.540

9.5

Systems of Equations and Phase Planes

Exercises

p.545

Questions to Guide Your Review

p.547

Practice Exercises

p.547

Additional and Advanced Exercises

p.548

10.1

Sequences

Exercises

p.559

10.2

Infinite Series

Exercises

p.569

10.3

The Integral Test

Exercises

p.575

10.4

Comparison Tests

Exercises

p.580

10.5

The Ratio and Root Tests

Exercises

p.585

10.6

Alternating Series, Absolute and Conditional Convergence

Exercises

p.591

10.7

Power Series

Exercises

p.600

10.8

Taylor and Maclaurin Series

Exercises

p.606

10.9

Convergence of Taylor Series

Exercises

p.613

10.10

The Binomial Series and Applications of Taylor Series

Exercises

p.620

Questions to Guide Your Review

p.623

Practice Exercises

p.623

Additional and Advanced Exercises

p.625

11.1

Parametrizations of Plane Curves

Exercises

p.634

11.2

Calculus with Parametric Curves

Exercises

p.643

11.3

Polar Coordinates

Exercises

p.648

11.4

Graphing in Polar Coordinates

Exercises

p.652

11.5

Areas and Lengths in Polar Coordinates

Exercises

p.656

11.6

Conics in Polar Coordinates

Exercises

p.663

Exercises

p.671

Questions to Guide Your Review

p.672

Practice Exercises

p.673

Additional and Advanced Exercises

p.675

12.1

Three-Dimensional Coordinate Systems

Exercises

p.681

12.2

Vectors

Exercises

p.690

12.3

The Dot Product

Exercises

p.698

12.4

The Cross Product

Exercises

p.704

12.5

Lines and Planes in Space

Exercises

p.712

12.6

Cylinders and Quadric Surfaces

Exercises

p.718

Questions to Guide Your Review

p.719

Practice Exercises

p.720

Additional and Advanced Exercises

p.722

13.1

Curves in Space and Their Tangents

Exercises

p.731

13.2

Integrals of Vector Functions; Projectile Motion

Exercises

p.738

13.3

Arc Length in Space

Exercises

p.745

13.4

Curvature and Normal Vectors of a Curve

Exercises

p.751

13.5

Tangential and Normal Components of Acceleration

Exercises

p.756

13.6

Velocity and Acceleration in Polar Coordinates

Exercises

p.760

Questions to Guide Your Review

p.760

Practice Exercises

p.761

Additional and Advanced Exercises

p.763

14.1

Functions of Several Variables

Exercises

p.771

14.2

Limits and Continuity in Higher Dimensions

Exercises

p.779

14.3

Partial Derivatives

Exercises

p.790

14.4

The Chain Rule

Exercises

p.800

14.5

Directional Derivatives and Gradient Vectors

Exercises

p.808

14.6

Tangent Planes and Differentials

Exercises

p.817

14.7

Extreme Values and Saddle Points

Exercises

p.826

14.8

Lagrange Multipliers

Exercises

p.836

14.9

Taylor's Formula for Two Variables

Exercises

p.842

14.10

Partial Derivatives with Constrained Variables

Exercises

p.846

Questions to Guide Your Review

p.847

Practice Exercises

p.847

Additional and Advanced Exercises

p.851

15.1

Double and Iterated Integrals over Rectangles

Exercises

p.858

15.2

Double Integrals over General Regions

Exercises

p.865

15.3

Area by Double Integral

Exercises

p.870

15.4

Double Integrals in Polar Form

Exercises

p.875

15.5

Triple Integrals in Rectangular Coordinates

Exercises

p.883

15.6

Moments and Centers of Mass

Exercises

p.891

15.7

Triple Integrals in Cylindrical and Spherical Coordinates

Exercises

p.901

15.8

Substitutions in Multiple Integrals

Exercises

p.912

Questions to Guide Your Review

p.914

Practice Exercises

p.914

Additional and Advanced Exercises

p.916

16.1

Line Integrals

Exercises

p.924

16.2

Vector Fields and Line Integrals: Work, Circulation, and Flux

Exercises

p.935

16.3

Path Independence, Conservative Fields, and Potential Functions

Exercises

p.947

16.4

Green's Theorem in the Plane

Exercises

p.958

16.5

Surfaces and Area

Exercises

p.969

16.6

Surface Integrals

Exercises

p.978

16.7

Stokes' Theorem

Exercises

p.988

16.8

The Divergence Theorem and a Unified Theory

Exercises

p.999

Questions to Guide Your Review

p.1001

Practice Exercises

p.1001

Additional and Advanced Exercises

p.1004