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Algebra and Trigonometry : Graphs and Models,9780201616736

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Algebra and Trigonometry : Graphs and Models

by Bittinger, Marvin L.; Ellenbogen, David; Beecher, Judith A.; Penna, Judith A.

Edition:

2nd

ISBN13:

9780201616736

ISBN10:

0201616734

Format:

Hardcover

Pub. Date:

8/1/2001

Publisher(s):

Addison-Wesley

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This is the 2nd edition with a publication date of 8/1/2001.

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The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.

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Table of Contents

Introduction to Graphs and the Graphing Calculator

1

(13)

Basic Concepts of Algebra

The Real-Number System

14

(6)

Integer Exponents, Scientific Notation, and Order of Operations

20

(8)

Addition, Subtraction, and Multiplication of Polynomials

28

(4)

Factoring

32

(5)

Rational Expressions

37

(8)

Radical Notation and Rational Exponents

45

(9)

The Basics of Equation Solving

54

(10)

Summary and Review

59

(5)

Graphs, Functions, and Models

Functions, Graphs, and Graphers

64

(14)

Linear Functions, Slope, and Applications

78

(18)

Modeling: Data Analysis, Curve Fitting, and Linear Regression

96

(10)

More on Functions

106

(16)

Symmetry and Transformations

122

(16)

Variation and Applications

138

(9)

Distance, Midpoints, and Circles

147

(13)

Summary and Review

153

(7)

Functions and Equations: Zeros and Solutions

Zeros of linear Functions and Models

160

(11)

The Complex Numbers

171

(7)

Zeros of Quadratic Functions and Models

178

(13)

Analyzing Graphs of Quadratic Functions

191

(11)

Modeling: Data Analysis, Curve Fitting, and Quadratic Regression

202

(6)

Zeros and More Equation Solving

208

(6)

Solving Inequalities

214

(10)

Summary and Review

219

(5)

Polynomial and Rational Functions

Polynomial Functions and Modeling

224

(13)

Polynomial Division; The Remainder and Factor Theorems

237

(9)

Theorems about Zeros of Polynomial Functions

246

(8)

Rational Functions

254

(16)

Polynomial and Rational Inequalities

270

(12)

Summary and Review

278

(4)

Exponential and Logarithmic Functions

Composite and Inverse Functions

282

(15)

Exponential Functions and Graphs

297

(13)

Logarithmic Functions and Graphs

310

(14)

Properties of Logarithmic Functions

324

(9)

Solving Exponential and Logarithmic Equations

333

(8)

Applications and Models: Growth and Decay

341

(19)

Summary and Review

356

(4)

The Trigonometric Functions

Trigonometric Functions of Acute Angles

360

(11)

Applications of Right Triangles

371

(9)

Trigonometric Functions of Any Angle

380

(15)

Radians, Arc Length, and Angular Speed

395

(14)

Circular Functions: Graphs and Properties

409

(17)

Graphs of Transformed Sine and Cosine Functions

426

(20)

Summary and Review

440

(6)

Trigonometric Identities, Inverse Functions, and Equations

Identities: Pythagorean and Sum and Difference

446

(13)

Identities: Cofunction, Double-Angle, and Half-Angle

459

(9)

Proving Trigonometric Identities

468

(6)

Inverses of the Trigonometric Functions

474

(11)

Solving Trigonometric Equations

485

(17)

Summary and Review

497

(5)

Applications of Trigonometry

The Law of Sines

502

(12)

The Law of Cosines

514

(9)

Complex Numbers: Trigonometric Form

523

(12)

Polar Coordinates and Graphs

535

(8)

Vectors and Applications

543

(8)

Vector Operations

551

(21)

Summary and Review

565

(7)

Systems of Equations and Matrices

Systems of Equations in Two Variables

572

(11)

Systems of Equations in Three Variables

583

(9)

Matrices and Systems of Equations

592

(8)

Matrix Operations

600

(11)

Inverses of Matrices

611

(6)

Systems of Inequalities and Linear Programming

617

(10)

Partial Fractions

627

(13)

Summary and Review

633

(7)

Conic Sections

The Parabola

640

(8)

The Circle and the Ellipse

648

(9)

The Hyperbola

657

(10)

Nonlinear Systems of Equations

667

(15)

Summary and Review

677

(5)

Sequences, Series, and Combinatorics

Sequences and Series

682

(9)

Arithmetic Sequences and Series

691

(9)

Geometric Sequences and Series

700

(10)

Mathematical Induction

710

(6)

Combinatorics: Permutations

716

(9)

Combinatorics: Combinations

725

(8)

The Binomial Theorem

733

(8)

Probability

741

(14)

Summary and Review

751

(4)

Appendixes

A Descartes' Rule of Signs

755

(2)

B Determinants and Cramer's Rule

757

(8)

C Parametric Equations

765

Answers

1

(1)

Index

1

(12)

Index of Applications

13

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