Larson Precalculus with Limits

Larson Precalculus with Limits Larson Precalculus with Limits

ISBN: 9780538736596 / 0538736593

Table of Contents

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


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

Additional Topics In Trigonometry

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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