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### Chapter 1

Functions And Their Graphs

 1.1 Rectangular Coordinates Exercises p.9 1.2 Graphs of Equations Exercises p.22 1.3 Linear Equations in Two Variables Exercises p.34 1.4 Functions Exercises p.48 1.5 Analyzing Graphs of Functions Exercises p.61 1.6 A Library of Parent Functions Exercises p.71 1.7 Transformations of Functions Exercises p.79 1.8 Combinations of Functions: Composite Functions Exercises p.89 1.9 Inverse Functions Exercises p.99 1.10 Mathematical Modeling and Variation Exercises p.109 Review Exercises p.117 Chapter 1 Test p.123 Problem Solving p.125

### Chapter 2

Polynomial And Rational Functions

 2.1 Quadratic Functions and Models Exercises p.134 2.2 Polynomial Functions of Higher Degree Exercises p.148 2.3 Polynomial and Synthetic Division Exercises p.159 2.4 Complex Numbers Exercises p.167 2.5 Zeros of Polynomial Functions Exercises p.179 2.6 Rational Functions Exercises p.193 Exercises p.204 Review Exercises p.208 Chapter 2 Test p.212 Problem Solving p.215

### Chapter 3

Exponential And Logarithmic Functions

 3.1 Exponential Functions and Their Graphs Exercises p.226 3.2 Logarithmic Functions and Their Graphs Exercises p.236 3.3 Properties of Logarithms Exercises p.243 3.4 Exponential and Logarithmic Equations Exercises p.253 3.5 Exponential and Logarithmic Models Exercises p.264 Review Exercises p.271 Chapter 3 Test p.275 Cumulative Test for Chapters 1-3 p.276 Problem Solving p.279

### Chapter 4

Trigonometry

 4.1 Radian and Degree Measure Exercises p.290 4.2 Trigonometric Functions: The Unit Circle Exercises p.299 4.3 Right Triangle Trigonometry Exercises p.308 4.4 Trigonometric Functions of Any Angle Exercises p.318 4.5 Graphs of Sine and Cosine Functions Exercises p.328 4.6 Graphs of Other Trigonometric Functions Exercises p.339 4.7 Inverse Trigonometric Functions Exercises p.349 4.8 Applications and Models Exercises p.359 Review Exercises p.365 Chapter 4 Test p.369 Problem Solving p.371

### Chapter 5

Analytic Trigonometry

 5.1 Using Fundamental Identities Exercises p.379 5.2 Verifying Trigonometric Identities Exercises p.387 5.3 Solving Trigonometric Equations Exercises p.397 5.4 Sum and Difference Formulas Exercises p.404 5.5 Multiple-Angle and Product-to-Sum Formulas Exercises p.415 Review Exercises p.420 Chapter 5 Test p.423 Problem Solving p.427

### Chapter 6

 6.1 Law of Sines Exercises p.436 6.2 Law of Cosines Exercises p.443 6.3 Vectors in the Plane Exercises p.456 6.4 Vectors and Dot Products Exercises p.467 6.5 Trigonometric Form of a Complex Number Exercises p.478 Review Exercises p.482 Chapter Test p.486 Cumulative Test for Chapters 4-6 p.487 Problem Solving p.493

### Chapter 7

Systems Of Equations And Inequalities

 7.1 Linear and Nonlinear Systems of Equations Exercises p.503 7.2 Two-Variable Linear Systems Exercises p.515 7.3 Multivariable Linear Systems Exercises p.527 7.4 Partial Fractions Exercises p.539 7.5 Systems of Inequalities Exercises p.548 7.6 Linear Programming Exercises p.558 Review Exercises p.563 Chapter Test p.567 Problem Solving p.569

### Chapter 8

Matrices And Determinants

 8.1 Matrices and Systems of Equations Exercises p.582 8.2 Operations with Matrices Exercises p.597 8.3 The Inverse of a Square Matrix Exercises p.608 8.4 The Determinant of a Square Matrix Exercises p.616 8.5 Applications of Matrices and Determinants Exercises p.628 Review Exercises p.632 Chapter Test p.637 Problem Solving p.639

### Chapter 9

Sequences, Series, And Probability

 9.1 Sequences Exercises p.649 9.2 Arithmetic Sequences and Partial Sums Exercises p.659 9.3 Geometric Sequences and Series Exercises p.669 9.4 Mathematical Induction Exercises p.681 9.5 The Binomial Theorem Exercises p.688 9.6 Counting Principles Exercises p.698 9.7 Probability Exercises p.709 Review Exercises p.715 Chapter Test p.719 Cumulative Test for Chapters 7-9 p.720 Problem Solving p.725

### Chapter 10

Topics In Analytic Geometry

 10.1 Lines Exercises p.732 10.2 Introduction to Conics: Parabolas Exercises p.740 10.3 Ellipses Exercises p.750 10.4 Hyperbolas Exercises p.760 10.5 Rotation of Conics Exercises p.769 10.6 Parametric Equations Exercises p.776 10.7 Polar Coordinates Exercises p.783 10.8 Graphs of Polar Equations Exercises p.791 10.9 Polar Equations of Conics Exercises p.797 Review Exercises p.801 Chapter 10 Test p.805 Problem Solving p.809

### Chapter 11

Analytic Geometry In Three Dimensions

 11.1 The Three-Dimensional Coordinate System Exercises p.817 11.2 Vectors in Space Exercises p.825 11.3 The Cross Product of Two Vectors Exercises p.832 11.4 Lines and Planes in Space Exercises p.841 Review Exercises p.844 Chapter Test p.846 Problem Solving p.849

### Chapter 12

Limits And An Introduction To Calculus

 12.1 Introduction to Limits Exercises p.860 12.2 Techniques for Evaluating Limits Exercises p.870 12.3 The Tangent Line Problem Exercises p.880 12.4 Limits at Infinity and Limits of Sequences Exercises p.889 12.5 The Area Problem Exercises p.898 Review Exercises p.901 Chapter Test p.904 Cumulative Test for Chapters 10-12 p.905 Problem Solving p.908

### Chapter A

Review Of Fundamental Concepts Of Algebra

 A.1 Real Numbers and Their Properties Exercises p.A8 A.2 Exponents and Radicals Exercises p.A20 A.3 Polynomials and Factoring Exercises p.A31 A.4 Rational Expressions Exercises p.A43 A.5 Solving Equations Exercises p.A56 A.6 Linear Inequalities in One Variable Exercises p.A66 A.7 Errors and the Algebra of Calculus Exercises p.A75

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