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Precalculus with Limits A Graphing Approach

by: Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H.

Precalculus with Limits A Graphing Approach

by: Larson, Ron; Hostetler, Robert P.; Edwards, Bruce H.

ISBN 13:
9780618052912
ISBN 10:
0618052917
Edition: 3rd
Format: Hardcover
Copyright: 08/04/2000
Publisher: Brooks Cole
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Summary

For a full description, see Larson et al., College Algebra: A Graphing Approach, 3/e.

A Word from the Authors (Preface)

viii

Features Highlights

An Introduction to Graphing Utilities

xvii

Prerequisites

(72)

Graphical Representation of Data

(12)

Graphs of Equations

(11)

Lines in the Plane

(13)

Solving Equations Algebraically and Graphically

(16)

Solving Inequalities Algebraically and Graphically

(19)

Chapter Summary

(1)

Review Exercises

(3)

Chapter Project: Modeling the Volume of a Box

(1)

Chapter Test

(1)

Library of Functions

(1)

Functions and Their Graphs

(62)

Functions

(14)

Graphs of Functions

(12)

Shifting, Reflecting, and Stretching Graphs

100

(9)

Combinations of Functions

109

(11)

Inverse Functions

120

(15)

Chapter Summary

130

(1)

Review Exercises

131

(2)

Chapter Project: Modeling the Area of a Plot

133

(1)

Chapter Test

134

(1)

Polynomial and Rational Functions

135

(80)

Quadratic Functions

136

(11)

Polynomial Functions of Higher Degree

147

(13)

Real Zeros of Polynomial Functions

160

(14)

Complex Numbers

174

(8)

The Fundamental Theorem of Algebra

182

(7)

Rational Functions and Asymptotes

189

(10)

Graphs of Rational Functions

199

(16)

Chapter Summary

208

(1)

Review Exercises

209

(4)

Chapter Project: Finding Points of Intersection

213

(1)

Chapter Test

214

(1)

Exponential and Logarithmic Functions

215

(68)

Exponential Functions and Their Graphs

216

(13)

Logarithmic Functions and Their Graphs

229

(11)

Properties of Logarithms

240

(7)

Solving Exponential and Logarithmic Equations

247

(11)

Exponential and Logarithmic Models

258

(25)

Chapter Summary

274

(1)

Review Exercises

275

(4)

Chapter Project: A Graphical Approach to Compound Interest

279

(1)

Chapter Test

280

(1)

Cumulative Test: Chapters 1--3

281

(2)

Trigonometric Functions

283

(92)

Radian and Degree Measure

284

(11)

Trigonometric Functions: The Unit Circle

295

(8)

Right Triangle Trigonometry

303

(11)

Trigonometric Functions of Any Angle

314

(9)

Graphs of Sine and Cosine Functions

323

(11)

Graphs of Other Trigonometric Functions

334

(11)

Inverse Trigonometric Functions

345

(10)

Applications and Models

355

(20)

Chapter Summary

367

(1)

Review Exercises

368

(5)

Chapter Project: Fitting a Model to Data

373

(1)

Chapter Test

374

(1)

Analytic Trigonometry

375

(52)

Using Fundamental Identities

376

(8)

Verifying Trigonometric Identities

384

(8)

Solving Trigonometric Equations

392

(12)

Sum and Difference Formulas

404

(7)

Multiple-Angle and Product-Sum Formulas

411

(16)

Chapter Summary

421

(1)

Review Exercises

422

(3)

Chapter Project: Projectile Motion

425

(1)

Chapter Test

426

(1)

Additional Topics in Trigonometry

427

(60)

Law of Sines

428

(9)

Law of Cosines

437

(7)

Vectors in the Plane

444

(14)

Vectors and Dot Products

458

(9)

Trigonometric Form of a Complex Number

467

(20)

Chapter Summary

478

(1)

Review Exercises

479

(4)

Chapter Project: Adding Vectors Graphically

483

(1)

Chapter Test

484

(1)

Cumulative Test: Chapters 4--6

485

(2)

Systems of Equations and Inequalities

487

(64)

Solving Systems of Equations

488

(11)

Systems of Linear Equations in Two Variables

499

(10)

Multivariable Linear Systems

509

(16)

Systems of Inequalities

525

(10)

Linear Programming

535

(16)

Chapter Summary

545

(1)

Review Exercises

546

(3)

Chapter Project: Fitting Models to Data

549

(1)

Chapter Test

550

(1)

Matrices and Determinants

551

(66)

Matrices and Systems of Equations

552

(15)

Operations with Matrices

567

(15)

The Inverse of a Square Matrix

582

(9)

The Determinant of a Square Matrix

591

(8)

Applications of Matrices and Determinants

599

(18)

Chapter Summary

609

(1)

Review Exercises

610

(5)

Chapter Project: Solving Systems of Equations

615

(1)

Chapter Test

616

(1)

Sequences, Series, and Probability

617

(78)

Sequences and Series

618

(11)

Arithmetic Sequences and Partial Sums

629

(9)

Geometric Sequences and Series

638

(10)

Mathematical Induction

648

(8)

The Binomial Theorem

656

(8)

Counting Principles

664

(10)

Probability

674

(21)

Chapter Summary

687

(1)

Review Exercises

688

(5)

Chapter Project: Fitting Models to Data

693

(1)

Chapter Test

694

(1)

Topics in Analytic Geometry

695

(74)

Introduction to Conics: Parabolas

696

(8)

Ellipses

704

(9)

Hyperbolas

713

(9)

Rotation and Systems of Quadratic Equations

722

(9)

Parametric Equations

731

(8)

Polar Coordinates

739

(6)

Graphs of Polar Equations

745

(9)

Polar Equations of Conics

754

(15)

Chapter Summary

760

(1)

Review Exercises

761

(4)

Chapter Project: Polar, Rectangular, and Parametric Forms

765

(1)

Chapter Test

766

(1)

Cumulative Test: Chapters 7--10

767

(2)

Analytic Geometry in Three Dimensions

769

(36)

The Three-Dimensional Coordinate System

770

(7)

Vectors in Space

777

(7)

The Cross Product of Two Vectors

784

(7)

Lines and Planes in Space

791

(14)

Chapter Summary

800

(1)

Review Exercises

801

(2)

Chapter Project: Distance Between a Point and a Line

803

(1)

Chapter Test

804

(1)

Limits and an Introduction to Calculus

805

(1)

Introduction to Limits

806

(10)

Techniques for Evaluating Limits

816

(10)

The Tangent Line Problem

826

(9)

Limits at Infinity and Limits of Sequences

835

(8)

The Area Problem

843

(8)

Chapter Summary

851

(1)

Review Exercises

852

(3)

Chapter Project: Tangent Lines to Sine Curves

855

(1)

Chapter Test

856

(1)

Cumulative Test: Chapters 11--12

857

(1)

Appendices

Appendix A Proofs of Selected Theorems

Appendix B Concepts in Statistics

A15

B.1 Representing Data

A15

B.2 Measures of Central Tendency and Dispersion

A22

B.3 Least Squares Regression

A31

Appendix C Solving Linear Equations and Inequalities

A33

Answers to Odd-Numbered Exercises and Tests

A39

Index of Applications

A181

Index

A184

Amazon no longer offers textbook rentals. We do!

Precalculus with Limits A Graphing Approach

Precalculus with Limits A Graphing Approach

9780618052912

0618052917

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Precalculus with Limits A Graphing Approach

Precalculus with Limits A Graphing Approach

9780618052912

0618052917

Summary

Table of Contents

Supplemental Materials

Write a Review

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