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Precalculus With Limits
9781133962885
Precalculus With Limits
Larson
3rd Edition
Precalculus with Limits 3e
Chapter 1
Functions And Their Graphs
Chapter 2
Polynomial And Rational Functions
Chapter 3
Exponential And Logarithmic Functions
Chapter 4
Trigonometry
Chapter 5
Analytic Geometry
Chapter 6
Additional Topics In Trigonometry
Chapter 7
Systems Of Equations And Inequalities
Chapter 8
Matrices And Determinants
Chapter 9
Sequences, Series, And Probability
Chapter 10
Topics In Analytic Geometry
Chapter 11
Analytic Geometry In Three Dimensions
Chapter 12
Limits And An Introduction To Calculus
Chapter 13
Concepts In Statistics
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
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
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
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
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
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
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
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
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
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
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
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
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