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Cengage Precalculus Real Mathematics Real people, 2015
Chapter 1
Functions & Their Graphs
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Lines in the Plane
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Functions
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Graphs of Functions
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Graphs of Functions
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Combinations of functions
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Inverse Functions
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Linear Models & Scatter Plots
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Review Exercises
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Chapter Test
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Chapter 2
Polynomial and Rational Function
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Quadratic Functions
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Polynomial Functions of Higher Degree
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Real Zeros of Polynomial Functions
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Complex Numbers
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The Fundamental Theorem of Algebra
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Rational funtions and Asymptotes
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Graphs of Rational Functions
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Quadratic Models
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Review Exercises
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Chapter Test
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Chapter 3
Exponential and Logarithmic Functions
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Exponential Functions & Their Graphs
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Logarthmic Function and Their Graphs
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Properties of Logarithms
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Solving Exponential and logarithmic Equations
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Exponential and Logarithmic Models
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Nonlinear Models
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Review Exercises
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Chapter Test
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Cumulative Test
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Chapter 4
Trigonometric Function
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Radian & Degree Measure
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Trigonometric Functions: The Unit Circle
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Right Triangle Trigonometry
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Trigonometric Functions of Any Angle
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Graphs of Sine & Cosine Functions
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Graphs of Other Trigonometric Functions
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Inverse Trigonometric Functions
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Application & Models
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Review Exercises
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Chapter Test
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Library of Parent Functions Review
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Chapter 5
Analytic Trigonometry
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Using Fundamental Identities
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Verifying Trigonometric Identities
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Solving Trigonometric Equations
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Sum & Difference Formulas
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Multiple-Angle and Product-to-Sum Formulas
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Review Exercises
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Chapter Test
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Chapter 6
Additional Topics in Trigonometry
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Law of Sines
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Law of Cosines
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Vectors in the Plane
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Vectors and Dot Product
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Trigonometric Form of a Complex Number
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Review Exercises
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Chapter Test
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Cumulative Test
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Chapter 7
Linear Systems and Matrices
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Solving Systems of Equations
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Systems of Linear Equations in Two Variables
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Multivariable Linear Systems
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Matrices & System of Equations
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Operations with Matrices
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The Inverse of a Square Matrix
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The Determinant of A Square Matrix
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Applications of Matrices & Determinants
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Review Exercises
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Chapter Test
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Chapter 8
Sequences, Series & Probability
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Sequences & Series
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Arithmetic Sequences & Partial Sums
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Geometric Sequences & Series
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The Binomial Theorem
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Counting Principles
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Probability
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Review Exercises
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Chapter Test
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Chapter 9
Topic in Analytic Geometry
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Circles and Parabolas
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Ellipses
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Hyperbolas & Ritation of Conics
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Parametric Equations
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Polar Coordinates
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Graphs of Polar Equations
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Polar Equations of Conics
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Review Exercises
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Chapter Test
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Cumulative Test
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Chapter 10
Analytic Geometry in Three Dimensions
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The Three-Dimensional Coordinate System
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Vectors in Space
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The Cross Product of Two Vectors
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Lines & Planes in Space
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Review Exercises
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Chapter Test
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