Precalculus With Limits, 3e

Precalculus With Limits, 3e Precalculus With Limits, 3e

ISBN: 9781133962885 / 1133962882

Table of Contents

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


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

Additional Topics In Trigonometry

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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