 # Larson Precalculus with Limits Larson Precalculus with Limits

ISBN: 9780538736596 / 0538736593 ### Chapter 1

Functions And Their Graphs

 1.1 Rectangular Coordinates Exercises p.8 1.2 Graphs of Equations Exercises p.21 1.3 Linear Equations in Two Variables Exercises p.33 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.78 1.8 Combinations of Functions: Composite Functions Exercises p.88 1.9 Inverse Functions Exercises p.98 1.10 Mathematical Modeling and Variation Exercises p.108 Review Exercises p.116 Chapter Test p.121 Problem Solving p.123

### Chapter 2

Polynomial And Rational Functions

 2.4 Complex Numbers Exercises p.127 2.1 Quadratic Functions and Models Exercises p.132 2.2 Polynomial Functions of Higher Degree Exercises p.145 2.3 Polynomial and Synthetic Division Exercises p.156 2.5 Zeros of Polynomial Functions Exercises p.176 2.6 Rational Functions Exercises p.190 2.7 Nonlinear Inequalities Exercises p.201 Review Exercises p.206 Chapter Test p.210 Problem Solving p.213

### Chapter 3

Exponential And Logarithmic Functions

 3.1 Exponential Functions and Their Graphs Exercises p.224 3.2 Logarithmic Functions and Their Graphs Exercises p.234 3.3 Properties of Logarithms Exercises p.241 3.4 Exponential and Logarithmic Equations Exercises p.251 3.5 Exponential and Logarithmic Models Exercises p.262 Review Exercises p.270 Chapter Test p.273 Cumulative Test for Chapters 1-3 p.274 Problem Solving p.277

### Chapter 4

Trigonometry

 4.1 Radian and Degree Measure Exercises p.288 4.2 Trigonometric Functions: The Unit Circle Exercises p.297 4.3 Right Triangle Trigonometry Exercises p.306 4.4 Trigonometric Functions of Any Angle Exercises p.316 4.5 Graphs of Sine and Cosine Functions Exercises p.326 4.6 Graphs of Other Trigonometric Functions Exercises p.337 4.7 Inverse Trigonometric Functions Exercises p.347 4.8 Applications and Models Exercises p.357 Review Exercises p.364 Chapter Test p.367 Problem Solving p.369

### Chapter 5

Analytic Trigonometry

 5.1 Using Fundamental Identities Exercises p.377 5.2 Verifying Trigonometric Identities Exercises p.385 5.3 Solving Trigonometric Equations Exercises p.394 5.4 Sum and Difference Formulas Exercises p.402 5.5 Multiple-Angle and Product-to-Sum Formulas Exercises p.413 Review Exercises p.418 Chapter Test p.421 Problem Solving p.425

### Chapter 6

 6.1 Law of Sines Exercises p.434 6.2 Law of Cosines Exercises p.441 6.3 Vectors in the Plane Exercises p.454 6.4 Vectors and Dot Products Exercises p.465 6.5 Trigonometric Form of a Complex Number Exercises p.476 Review Exercises p.480 Chapter Test p.484 Cumulative Test for Chapters 4-6 p.485 Problem Solving p.491

### Chapter 7

Systems Of Equations And Inequalities

 7.1 Linear and Nonlinear Systems of Equations Exercises p.501 7.2 Two-Variable Linear Systems Exercises p.513 7.3 Multivariable Linear Systems Exercises p.525 7.4 Partial Fractions Exercises p.536 7.5 Systems of Inequalities Exercises p.545 7.6 Linear Programming Exercises p.555 Review Exercises p.560 Problem Solving p.567

### Chapter 8

Matrices And Determinants

 8.1 Matrices and Systems of Equations Exercises p.579 8.2 Operations with Matrices Exercises p.594 8.3 The Inverse of a Square Matrix Exercises p.605 8.4 The Determinant of a Square Matrix Exercises p.613 8.5 Applications of Matrices and Determinants Exercises p.625 Review Exercises p.630 Chapter Test p.635 Problem Solving p.637

### Chapter 9

Sequences, Series, And Probability

 9.1 Sequences and Series Exercises p.647 9.2 Arithmetic Sequences and Partial Sums Exercises p.657 9.3 Geometric Sequences and Series Exercises p.667 9.4 Mathematical Induction Exercises p.679 9.5 The Binomial Theorem Exercises p.686 9.6 Counting Principles Exercises p.696 9.7 Probability Exercises p.707 Review Exercises p.714 Chapter Test p.717 Cumulative Test for Chapters 7-9 p.718 Problem Solving p.723

### Chapter 10

Topics In Analytic Geometry

 10.1 Lines Exercises p.730 10.2 Introduction to Conics: Parabolas Exercises p.738 10.3 Ellipses Exercises p.748 10.4 Hyperbolas Exercises p.758 10.5 Rotation of Conics Exercises p.767 10.6 Parametric Equations Exercises p.774 10.7 Polar Coordinates Exercises p.781 10.8 Graphs of Polar Equations Exercises p.789 10.9 Polar Equations of Conics Exercises p.795 Review Exercises p.800 Chapter Test p.803 Problem Solving p.807

### Chapter 11

Analytic Geometry In Three Dimensions

 11.1 The Three-Dimensional Coordinate System Exercises p.815 11.2 Vectors in Space Exercises p.822 11.3 The Cross Product of Two Vectors Exercises p.829 11.4 Lines and Planes in Space Exercises p.838 Review Exercises p.842 Chapter 11 Test p.844

### Chapter 12

Limits And An Introduction To Calculus

 12.1 Introduction to Limits Exercises p.858 12.2 Techniques for Evaluating Limits Exercises p.868 12.3 The Tangent Line Problem Exercises p.878 12.4 Limits at Infinity and Limits of Sequences Exercises p.887 12.5 The Area Problem Exercises p.896 Review Exercises Chapter 12 p.900 Chapter 12 Test p.903 Cumulative Test for Chapters 10-12 p.904
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