College algebra with trigonometry / 7th ed.

Preface ix
Chapter Dependencies xx
To the Student xxiv

Basic Algebraic Operations 1(72)

Algebra and Real Numbers 2(10)

Polynomials: Basic Operations 12(11)

Polynomials: Factoring 23(10)

Rational Expressions: Basic Operations 33(9)

Integer Exponents 42(9)

Rational Exponents 51(6)

Radicals 57(16)

Rational Number Representations 67(1)

Review 67(6)

Equations and Inequalities 73(100)

Linear Equations and Applications 74(15)

Systems of Linear Equations and Applications 89(9)

Linear Inequalities 98(11)

Absolute Value in Equations and Inequalities 109(10)

Complex Numbers 119(11)

Quadratic Equations and Applications 130(15)

Equations Reducible to Quadratic Form 145(8)

Polynomial and Rational Inequalities 153(20)

Rates of Change 162(1)

Review 163(5)

Cumulative Review Exercise 168(5)

Graphs and Functions 173(110)

Basic Tools; Circles 174(17)

Straight Lines 191(16)

Functions 207(16)

Graphing Functions 223(18)

Combining Functions 241(17)

Inverse Functions 258(25)

Mathematical Modeling in Business 274(2)

Review 276(7)

Polynomial and Rational Functions 283(70)

Polynomial Functions and Graphs 285(12)

Finding Rational Zeros of Polynomials 297(13)

Approximating Real Zeros of Polynomials 310(12)

Rational Functions 322(15)

Partial Fractions 337(16)

Interpolating Polynomials 345(2)

Review 347(6)

Exponential and Logarithmic Functions 353(60)

Exponential Functions 354(11)

The Exponential Function with Base e 365(11)

Logarithmic Functions 376(9)

Common and Natural Logarithms 385(10)

Exponential and Logarithmic Equations 395(18)

Growth of Increasing Functions 405(1)

Review 405(3)

Cumulative Review Exercise 408(5)

Trigonometric Functions 413(110)

Angles and Their Measure 414(9)

Acute Angle Domains 423(12)

General Angle and Real Number Domains 435(9)

Exact Values for Special Angles and Real Numbers 444(10)

Circular Functions 454(12)

Graphing Basic Trigonometric Functions 466(11)

Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C) 477(16)

Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions 493(8)

Inverse Trigonometric Functions 501(22)

A Predator-Prey Analysis Involving Mountain Lions and Deer 514(1)

Review 515(8)

Trigonometric Identities and Conditional Equations 523(54)

Basic Identities and Their Use 524(9)

Sum, Difference, and Cofunction Identities 533(10)

Double-Angle and Half-Angle Identities 543(9)

Product-Sum and Sum-Product Identities 552(5)

Trigonometric Equations 557(20)

From M sin Bt + N cos Bt to A sin (Bt + C)---A Harmonic Analysis Tool 569(2)

Review 571(6)

Additional Topics in Trigonometry 577(80)

Law of Sines 578(10)

Law of Cosines 588(8)

Geometric Vectors 596(7)

Algebraic Vectors 603(10)

Polar Coordinates and Graphs 613(14)

Complex Numbers in Rectangular and Polar Forms 627(8)

De Moivre's Theorem 635(22)

Conic Sections and Planetary Orbits 641(3)

Review 644(7)

Cumulative Review Exercise 651(6)

Systems of Equations and Inequalities 657(74)

Systems of Linear Equations and Augmented Matrices 658(18)

Gauss-Jordan Elimination 676(14)

Systems Involving Second-Degree Equations 690(9)

Systems of Linear Inequalities in Two Variables 699(13)

Linear Programming 712(19)

Modeling with Systems of Linear Equations 723(2)

Review 725(6)

Matrices and Determinants 731(64)

Matrices: Basic Operations 732(14)

Inverse of a Square Matrix 746(10)

Matrix Equations and Systems of Linear Equations 756(10)

Determinants 766(8)

Properties of Determinants 774(7)

Cramer's Rule 781(14)

Using Matrices to Find Cost, Revenue and Profit 786(1)

Review 787(5)

Cumulative Review Exercise 792(3)

Sequences and Series 795(54)

Sequences and Series 796(8)

Mathematical Induction 804(8)

Arithmetic and Geometric Sequences 812(13)

Binomial Formula 825(8)

Multiplication Principle, Permutations, and Combinations 833(16)

Sequences Specified by Recursion Formulas 845(1)

Review 845(4)

Additional Topics in Analytic Geometry 849

Conic Sections; Parabola 850

Ellipse 860

Hyperbola 871

Translation of Axes 883

Parametric Equations 893

Focal Chords 900

Review 901

Cumulative Review Exercise 907
Appendices

Appendix A Significant Digits A-1

Appendix B Geometric Formulas A-4
Answers A-7
Applications Index I-1
Subject Index I-3