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College Algebra and Trigonometry

by: Dugopolski, Mark

College Algebra and Trigonometry

by: Dugopolski, Mark

ISBN 13:
9780201347128
ISBN 10:
0201347121
Edition: 2nd
Format: Hardcover
Copyright: 07/01/1998
Publisher: Pearson College Div
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Summary

This text provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor' s Edition, instructor notes within the exercise sets, and an Insider' s Guide. Students will find success through features that include highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

Preface

vii

List of Supplements

xii

Index of Applications

xvi

Prerequisites

Real Numbers and Their Properties

(15)

Integral Exponents

(13)

Rational Exponents and Radicals

(13)

Polynomials

(12)

Factoring Polynomials

(11)

Rational Expressions

(18)

Highlights

(2)

Review Exercises

(2)

Test

(3)

Equations and Inequalities

Linear Equations

(11)

Applications

(15)

Complex Numbers

109

(8)

Quadratic Equations

117

(15)

Linear and Absolute Value Inequalities

132

(13)

Quadratic and Rational Inequalities

145

(18)

Highlights

156

(2)

Review Exercises

158

(3)

Test

161

(1)

Tying It All Together

161

(2)

Functions and Graphs

The Cartesian Coordinate System

163

(13)

Functions

176

(15)

Graphs of Relations and Functions

191

(16)

Transformations and Symmetry of Graphs

207

(15)

Operations with Functions

222

(12)

Inverse Functions

234

(13)

Variation

247

(16)

Highlights

255

(2)

Review Exercises

257

(3)

Test

260

(1)

Tying It All Together

261

(2)

Polynomial and Rational Functions

Linear Functions

263

(16)

Quadratic Functions

279

(12)

Zeros of Polynomial Functions

291

(12)

The Theory of Equations

303

(10)

Miscellaneous Equations

313

(14)

Graphs of Polynomial Functions

327

(12)

Graphs of Rational Functions

339

(22)

Highlights

353

(2)

Review Exercises

355

(3)

Test

358

(1)

Tying It All Together

359

(2)

Exponential and Logarithmic Functions

Exponential Functions

361

(16)

Logarithmic Functions

377

(12)

Properties of Logarithms

389

(13)

More Equations and Applications

402

(19)

Highlights

414

(1)

Review Exercises

415

(2)

Test

417

(1)

Tying It All Together

418

(3)

The Trigonometric Functions

Angles and Their Measurements

421

(17)

The Sine and Cosine Functions

438

(14)

The Graphs of the Sine and Cosine Functions

452

(16)

The Other Trigonometric Functions and Their Graphs

468

(12)

The Inverse Trigonometric Functions

480

(11)

Right Triangle Trigonometry

491

(22)

Highlights

505

(2)

Review Exercises

507

(3)

Test

510

(1)

Tying It All Together

511

(2)

Trigonometric Identities and Conditional Equations

Basic Identities

513

(9)

Verifying Identities

522

(8)

Sum and Difference Identities

530

(10)

Double-Angle and Half-Angle Identities

540

(9)

Product and Sum Identities

549

(10)

Conditional Equations

559

(20)

Highlights

574

(1)

Review Exercises

575

(1)

Test

576

(1)

Tying It All Together

577

(2)

Applications of Trigonometry

The Law of Sines

579

(12)

The Law of Cosines

591

(11)

Vectors

602

(13)

Trigonometric Form of Complex Numbers

615

(7)

Powers and Roots of Complex Numbers

622

(6)

Polar Equations

628

(10)

Parametric Equations

638

(13)

Highlights

643

(2)

Review Exercises

645

(2)

Test

647

(1)

Tying It All Together

648

(3)

Systems of Equations and Inequalities

Systems of Linear Equations in Two Variables

651

(13)

Systems of Linear Equations in Three Variables

664

(12)

Nonlinear Systems of Equations

676

(9)

Partial Fractions

685

(8)

Inequalities and Systems of Inequalities in Two Variables

693

(9)

Linear Programming

702

(13)

Highlights

710

(1)

Review Exercises

711

(1)

Test

712

(1)

Tying It All Together

713

(2)

Matrices and Determinants

Solving Linear Systems Using Matrices

715

(15)

Operations with Matrices

730

(7)

Multiplication of Matrices

737

(8)

Inverses of Matrices

745

(12)

Solution of Linear Systems in Two Variables Using Determinants

757

(6)

Solution of Linear Systems in Three Variables Using Determinants

763

(16)

Highlights

773

(2)

Review Exercises

775

(1)

Test

776

(1)

Tying It All Together

777

(2)

The Conic Sections

The Parabola

779

(11)

The Ellipse and the Circle

790

(14)

The Hyperbola

804

(17)

Highlights

816

(1)

Review Exercises

817

(2)

Test

819

(1)

Tying It All Together

819

(2)

Sequences, Series, and Probability

Sequences

821

(11)

Series

832

(8)

Geometric Sequences and Series

840

(13)

Counting and Permutations

853

(7)

Combinations, Labeling, and the Binomial Theorem

860

(11)

Probability

871

(12)

Mathematical Induction

883

(6)

Highlights

889

(2)

Review Exercises

891

(2)

Test

893

Answers to Odd-numbered Exercises

A-1

Index

I-1

Amazon no longer offers textbook rentals. We do!

College Algebra and Trigonometry

College Algebra and Trigonometry

9780201347128

0201347121

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

College Algebra and Trigonometry

College Algebra and Trigonometry

9780201347128

0201347121

Summary

Table of Contents

Supplemental Materials

Write a Review

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