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### Chapter 1

Functions And Their Graphs

 1.1 Rectangular Coordinates Exercises p.8 1.2 Graphs of Equations Exercises p.19 1.3 Linear Equations in Two Variables Exercises p.31 1.4 Functions Exercises p.44 1.5 Analyzing Graphs of Functions Exercises p.56 1.6 A Library of Parent Functions Exercises p.65 1.7 Transformations of Functions Exercises p.72 1.8 Combinations of Functions: Composite Functions Exercises p.81 1.9 Inverse Functions Exercises p.90 1.10 Mathematical Modeling and Variation Exercises p.100 Review Exercises p.106 Chapter Test p.109 Problem Solving p.111

### Chapter 2

Polynomial And Rational Functions

 2.1 Quadratic Functions and Models Exercises p.120 2.2 Polynomial Functions of Higher Degree Exercises p.133 2.3 Polynomials and Synthetic Division Exercises p.144 2.4 Complex Numbers Exercises p.152 2.5 Zeroes of Polynomials Functions Exercises p.164 2.6 Rational Functions Exercises p.177 2.7 Nonlinear Inequalities Exercises p.187 Review Exercises p.192 Chapter Test p.194 Problem Solving p.197

### Chapter 3

Exponential And Logarithmic Functions

 3.1 Exponential Functions and Their Graphs Exercises p.208 3.2 Logarithmic Functions and Their Graphs Exercises p.218 3.3 Properties of Logarithms Exercises p.225 3.4 Exponential and Logarithmic Equations Exercises p.235 3.5 Exponential and Logarithmic Models Exercises p.245 Review Exercises p.252 Chapter Test p.255 Cumulative Test for Chapters 1-3 p.256 Problem Solving p.259

### Chapter 4

Trigonometry

 4.1 Radian and Degree Measure Exercises p.269 4.2 Trigonometric Functions: The Unit Circle Exercises p.277 4.3 Right Triangle Trigonometry Exercises p.286 4.4 Trigonometric Functions of Any Angle Exercises p.296 4.5 Graphs of Sine and Cosine Functions Exercises p.306 4.6 Graphs of Other Trigonometric Functions Exercises p.317 4.7 Inverse Trigonometric Functions Exercises p.326 4.8 Applications and Models Exercises p.336 Review Exercises Chapter 4 p.342 Chapter Test p.345 Problem Solving p.347

### Chapter 5

Analytic Geometry

 5.1 Using Fundamental Identities Exercises p.355 5.2 Verifying Trigonometric Identities Exercises p.362 5.3 Solving Trigonometric Equations Exercises p.371 5.4 Sum and Difference Formulas Exercises p.379 5.5 Multiple-Angle and Product-to-Sum Formulas Exercises p.389 Review Exercises p.393 Chapter Test p.395 Problem Solving p.399

### Chapter 6

 6.1 Law of Sines Exercises p.408 6.2 Law of Cosines Exercises p.415 6.3 Vectors in the Plane Exercises p.427 6.4 Vectors and Dot Products Exercises p.437 6.5 Trigonometric Form of a Complex Number Exercises p.448 Review Exercises p.452 Chapter Test p.456 Cumulative Test for Chapters 4-6 p.457 Problem Solving p.463

### Chapter 7

Systems Of Equations And Inequalities

 7.1 Linear and Nonlinear Systems of Equations Exercises p.473 7.2 Two-Variable Linear Systems Exercises p.484 7.3 Multivariable Linear Systems Exercises p.496 7.4 Partial Fractions Exercises p.506 7.5 Systems of Inequalities Exercises p.515 7.6 Linear Programming Exercises p.524 Review Exercises Chapter 7 p.529 Chapter Test p.533 Problem Solving p.535

### Chapter 8

Matrices And Determinants

 8.1 Matrices and Systems of Equations Exercises p.547 8.2 Operations with Matrices Exercises p.561 8.3 The Inverse of a Square Matrix Exercises p.571 8.4 The Determinant of a Square Matrix Exercises p.579 8.5 Applications of Matrices and Determinants Exercises p.591 Review Exercises p.596 Chapter Test p.601 Problem Solving p.603

### Chapter 9

Sequences, Series, And Probability

 9.1 Sequences and Series Exercises p.613 9.2 Arithmetic Sequences and Partial Sums Exercises p.622 9.3 Geometric Sequences and Series Exercises p.631 9.4 Mathematical Induction Exercises p.642 9.5 The Binomial Theorem Exercises p.649 9.6 The Counting Principles Exercises p.659 9.7 Probability Exercises p.670 Review Exercises Chapter 9 p.676 Chapter Test p.679 Cumulative Test for Chapters 7-9 p.680 Problem Solving p.685

### Chapter 10

Topics In Analytic Geometry

 10.1 Lines Exercises p.692 10.2 Introduction to Conics: Parabolas Exercises p.700 10.3 Ellipses Exercises p.710 10.4 Hyperbolas Exercises p.720 10.5 Rotation of Conics Exercises p.729 10.6 Parametric Equations Exercises p.737 10.7 Polar Coordinates Exercises p.745 10.8 Graphs of Polar Equations Exercises p.753 10.9 Polar Equations of Conics Exercises p.759 Review Exercises p.764 Chapter Test p.767 Problem Solving p.771

### Chapter 11

Analytic Geometry In Three Dimensions

 11.1 The Three-Dimensional Coordinate System Exercises p.779 11.2 Vectors in Space Exercises p.786 11.3 The Cross Product of Two Vectors Exercises p.793 11.4 Lines and Planes in Space Exercises p.802 Review Exercises p.806 Chapter Test p.808 Problem Solving p.811

### Chapter 12

Limits And An Introduction To Calculus

 12.1 Introduction to Limits Exercises p.822 12.2 Techniques for Evaluating Limits Exercises p.833 12.3 The Tangent Line Problem Exercises p.842 12.4 Limits at Infinity and Limits of Sequences Exercises p.851 12.5 The Area Problem Exercises p.860 Review Exercises p.864 Chapter Test p.867 Cumulative Test for Chapters 10-12 p.868 Problem Solving p.871

### Chapter 13

Concepts In Statistics

 13.1 Representing Data Exercises p.879 13.2 Analyzing Data Exercises p.890 13.3 Modeling Data Exercises p.898 Review Exercises p.902 Chapter Test p.904 Problem Solving p.906

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