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× # Precalculus With Limits, 4th Edition Precalculus With Limits, 4th Edition

ISBN: 9781337271059 / 1337271055 ### 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.132 2.3 Polynomials and Synthetic Division Exercises p.142 2.4 Complex Numbers Exercises p.150 2.5 Zeros of Polynomial Functions Exercises p.162 2.6 Rational Functions Exercises p.175 2.7 Nonlinear Inequalities Exercises p.185 Review Exercises p.190 Chapter Test p.194 P.S. Problem Solving p.195

### Chapter 3

Exponential And Logarithmic Functions

 3.1 Exponential Functions and Their Graphs Exercises p.206 3.2 Logarithmic Functions and Their Graphs Exercises p.216 3.3 Properties of Logarithms Exercises p.223 3.4 Exponential and Logarithmic Equations Exercises p.233 3.5 Exponential and Logarithmic Models Exercises p.243 Review Exercises p.250 Chapter Test p.253 Cumulative Test for Chapters 1-3 p.254 P.S. Problem Solving p.257

### Chapter 4

Trigonometry

 4.1 Radian and Degree Measure Exercises p.267 4.2 Trigonometric Functions: The Unit Circle Exercises p.275 4.3 Right Triangle Trigonometry Exercises p.284 4.4 Trigonometric Functions of Any Angle Exercises p.294 4.5 Graphs of Sine and Cosine Functions Exercises p.304 4.6 Graphs of Other Trigonometric Functions Exercises p.315 4.7 Inverse Trigonometric Functions Exercises p.324 4.8 Applications and Models Exercises p.334 Review Exercises p.340 Chapter Test p.343 P.S. Problem Solving p.345

### Chapter 5

Analytic Trigonometry

 5.1 Using Fundamental Identities Exercises p.353 5.2 Verifying Trigonometric Identities Exercises p.360 5.3 Solving Trigonometric Equations Exercises p.370 5.4 Sum and Difference Formulas Exercises p.378 5.5 Multiple-Angle and Product-to-Sum Formulas Exercises p.388 Review Exercises p.392 Chapter Test p.394 Problem Solving p.397

### Chapter 6

 6.1 Law of Sines Exercises p.406 6.2 Law of Cosines Exercises p.413 6.3 Vectors in the Plane Exercises p.425 6.4 Vectors and Dot Products Exercises p.435 6.5 The Complex Plane Exercises p.443 6.6 Trigonometric Form of a Complex Number Exercises p.452 Review Exercises p.456 Chapter Test p.459 Cumulative Test for Chapters 4-6 p.460 P.S. Problem Solving p.465

### Chapter 7

Systems Of Equations And Inequalities

 7.1 Linear and Nonlinear Systems of Equations Exercises p.475 7.2 Two-Variable Linear Systems Exercises p.486 7.3 Multivariable Linear Systems Exercises p.498 7.4 Partial Fractions Exercises p.508 7.5 Systems of Inequalities Exercises p.517 7.6 Linear Programming Exercises p.526 Review Exercises p.531 Chapter Test p.535 P.S. Problem Solving p.537

### Chapter 8

Matrices And Determinants

 8.1 Matrices and Systems of Equations Exercises p.549 8.2 Operations with Matrices Exercises p.564 8.3 The Integral Test and Estimates of Sums Exercises p.574 8.4 The Determinant of a Square Matrix Exercises p.582 8.5 Applications of Matrices and Determinants Exercises p.595 Review Exercises p.600 Chapter Test p.604 P.S. Problem Solving p.607

### Chapter 9

Sequences, Series, And Probability

 9.1 Sequences and Series Exercises p.617 9.2 Arithmetic Sequences and Partial Sums Exercises p.626 9.3 Geometric Sequences and Series Exercises p.635 9.4 Mathematical Induction Exercises p.646 9.5 The Binomial Theorem Exercises p.653 9.6 Counting Principles Exercises p.663 9.7 Probability Exercises p.674 Review Exercises p.680 Chapter Test p.683 Cumulative Test for Chapters 7-9 p.684 P.S. Problem Solving p.689

### Chapter 10

Topics In Analytic Geometry

 10.1 Lines Exercises p.696 10.2 Introduction to Conics: Parabolas Exercises p.704 10.3 Ellipses Exericses p.714 10.4 Hyperbolas Exercises p.724 10.5 Rotation of Conics Exercises p.733 10.6 Parametric Equations Exercises p.741 10.7 Polar Coordinates Exercises p.749 10.8 Graphs of Polar Equations Exercises p.757 10.9 Polar Equations of Conics Exercises p.763 Review Exercises p.768 Chapter Test p.771 P.S. Problem Solving p.775

### Chapter 11

Analytic Geometry In Three Dimensions

 11.1 The Three-Dimensional Coordinate System Exercises p.783 11.2 Vectors in Space Exercises p.790 11.3 The Cross Product of Two Vectors Exercises p.797 11.4 Lines and Planes in Space Exercises p.806 Review Exercises p.810 Chapter Test p.812 Problem Solving p.815

### Chapter 12

Limits And An Introduction To Calculus

 12-1 Introduction to Limits Exercises p.826 12-2 Techniques for Evaluating Limits Exercises p.837 12-3 The Tangent Line Problem Exercises p.846 12-4 Limits at Infinity and Limits of Sequences Exercises p.855 12-5 The Area Problem Exercises p.864 Review Exercises p.868 Chapter Test p.871 Cumulative Test p.872 Problem Solving p.875

### Chapter 13

Concepts In Statistics

 13-1 Representing Data Exercises p.883 13-2 Analyzing Data Exercises p.894 13-3 Modeling Data Exercises p.902 Review Exercises p.906 Chapter Test p.908 Problem Solving p.910

### Chapter Appendix A

Review Of Fundamental Concepts Of Algebra

 A-1 Real Numbers and Their Properties Exercises p.A11 A-2 Exponents and Radicals Exercises p.A23 A-3 Polynomials and Factoring Exercises p.A33 A-4 Rational Expressions Exercises p.A42 A-5 Solving Equations Exercises p.A56 A-6 Linear Inequalities in One Variable Exercises p.A64 A-7 Errors and the Algebra of Calculus Exercises p.A72
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