### Chapter 1

Functions And Their Graphs

 1 Functions Exercises p.74 2 Analyzing Graphs of Functions Exercises p.87 3 Shifting, Reflecting, and Stretching Graphs Exercises p.97 4 Combinations of Functions Exercises p.106 5 Inverse Functions Exercises p.114 6 Mathematical Modeling Exercises p.124 Review Exercises p.130 Problem Solving p.133

### Chapter 2

Polynomial And Rational Functions

 1 Quadratic Functions Exercises p.142 2 Polynomial Functions of Higher Degree Exercises p.154 3 Polynomial and Synthetic Division Exercises p.164 4 Complex Numbers Exercises p.172 5 The Fundamental Theorem of Algebra Exercises p.181 6 Rational Functions Exercises p.193 Review Exercises p.198 Problem Solving p.201

### Chapter 3

Limits And Their Properties

 1 A Preview of Calculus Exercises p.209 2 Finding Limits Graphically and Numerically Exercises p.215 3 Evaluating Limits Analytically Exercises p.224 4 Continuity and One-Sided Limits Exercises p.234 5 Infinite Limits Exercises p.243 Review Exercises p.246 Problem Solving p.248

### Chapter 4

Differentiation

 1 The Derivative and the Tangent Line Problem Exercises p.259 2 Basic Differentiation Rules and Rates of Change Exercises p.270 3 The Product and Quotient Rules and Higher-Order Derivatives Exercises p.280 4 The Chain Rule Exercises p.289 5 Implicit Differentiation Exercises p.297 6 Related Rates Exercises p.304 Review Exercises p.307 Problem Solving p.311

### Chapter 5

Applications Of Differentiation

 1 Extrema on an Interval Exercises p.319 2 Rolle's Theorem and the Mean Value Theorem Exercises p.326 3 Increasing and Decreasing Functions and the First Derivative Test Exercises p.335 4 Concavity and the Second Derivative Test Exercises p.343 5 Limits at Infinity Exercises p.353 6 A Summary of Curve Sketching Exercises p.361 7 Optimization Problems Exercises p.369 8 Differentials Exercises p.380 Review Exercises p.382 Problem Solving p.385

### Chapter 6

Integration

 1 Antiderivatives and Indefinite Integration Exercises p.394 2 Area Exercises p.406 3 Riemann Sums and Definite Integrals Exercises p.417 4 The Fundamental Theorem of Calculus Exercises p.429 5 Integration by Substitution Exercises p.442 Exercises p.449 Review Exercises p.451 Problem Solving p.454

### Chapter 7

Exponential And Logarithmic Functions

 1 Exponential Functions and Their Graphs Exercises p.464 2 Logarithmic Functions and Their Graphs Exercises p.475 3 Using Properties of Logarithms Exercises p.483 4 Exponential and Logarithmic Equations Exercises p.491 5 Exponential and Logarithmic Models Exercises p.502 Review Exercises p.507 Problem Solving p.511

### Chapter 8

Exponential And Logarithmic Functions And Calculus

 1 Exponential Functions: Differentiation and Integration Exercises p.518 2 Logarithmic Functions and Differentiation Exercises p.526 3 Logarithmic Functions and Integration Exercises p.535 4 Differential Equations: Growth and Decay Exercises p.542 Review Exercises p.544 Problem Solving p.546

### Chapter 9

Trigonometric Functions

 1 Radian and Degree Measure Exercises p.556 2 Trigonometric Functions: The Unit Circle Exercises p.564 3 Right Triangle Trigonometry Exercise p.571 4 Trigonometric Functions of Any Angle Exercises p.580 5 Graphs of Sine and Cosine Functions Exercises p.590 6 Graphs of Other Trigonometric Functions Exercises p.600 7 Inverse Trigonometric Functions Exercises p.610 8 Applications and Models Exercises p.617 Exercises p.622 Problem Solving p.625

### Chapter 10

Analytic Trigonometry

 1 Using Fundamental Trigonometric Identities Exercises p.632 2 Verifying Trigonometric Identities Exercises p.639 3 Solving Trigonometric Equations Exercises p.647 4 Sum and Difference Formulas Exercises p.655 5 Multiple-Angle and Product-to-Sum Formulas Exercises p.663 Review Exercises p.667 Problem Solving p.669

### Chapter 11

Trigonometric Functions And Calculus

 1 Limits of Trigonometric Functions Exercises p.675 2 Trigonometric Functions: Differentiation Exercises p.685 3 Trigonometric Functions: Integration Exercises p.694 4 Inverse Trigonometric Functions: Differentiation Exercises p.700 5 Inverse Trigonometric Functions: Integration Exercises p.707 6 Hyperbolic Functions Exercises p.717 Exercises p.719 Problem Solving p.722

### Chapter 12

Topics In Analytic Geometry

 1 Introduction to Conics: Parabolas Exercises p.730 2 Ellipses and Implicit Differentiation Exercises p.738 3 Hyperbolas and Implicit Differentiation Exercises p.747 4 Parametric Equations and Calculus Exercises p.755 5 Polar Coordinates and Calculus Exercises p.763 6 Graphs of Polar Equations Exercises p.768 7 Polar Equations of Conics Exercises p.771 Exercises p.775 Problem Solving p.778

### Chapter 13

Additional Topics In Trigonometry

 1 Law of Sines Exercises p.788 2 Law of Cosines Exercises p.795 3 Vectors in the Plane Exercises p.806 4 Vectors and Dot Products Exercises p.816 5 Trigonometric Form of a Complex Number Exercises p.825 Exercises p.828 Problem Solving p.831

### Chapter 14

Systems Of Equations And Matrices

 1 Systems of Linear Equations in Two Variables Exercises p.843 2 Multivariable Linear Systems Exercises p.854 3 Systems of Inequalities Exercises p.863 4 Matrices and Systems of Equations Exercises p.877 5 Operations with Matrices Exercises p.890 6 The Inverse of a Square Matrix Exercises p.900 7 The Determinant of a Square Matrix Exercises p.907 Exercises p.910 Problem Solving p.915

### Chapter P

Prerequisites

 1 Solving Equations Exercises p.11 2 Solving Inequalities Exercises p.23 3 Graphical Representations of Data Exercises p.33 4 Graphs of Equations Exercises p.44 5 Linear Equations in Two Variables Exercises p.56 Review Exercises p.62 Problem Solving p.65

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