Precalculus With Limits, 4th Edition

Precalculus With Limits, 4th Edition Precalculus With Limits, 4th Edition

ISBN: 9781337271059 / 1337271055

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.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

Additional Topics In Trigonometry

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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