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Category : Higher Education
1. Graphs Table of Contents
1.1 The Distance and Midpoint Formulas
Chapter 1 Review, Test, and Projects
1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry
1.3 Lines
1.4 Circles2.1 Functions
Chapter 2 Review, Test, and Projects
2.2 The Graph of a Function
2.3 Properties of Functions
2.4 Library of Functions; Piecewise-defined Functions
2.5 Graphing Techniques: Transformations
2.6 Mathematical Models: Building Functions3.1 Properties of Linear Functions and Linear Models
Chapter 3 Review, Test, and Projects
3.2 Building Linear Models from Data
3.3 Quadratic Functions and Their Properties
3.4 Build Quadratic Models from Verbal Descriptions and from Data
3.5 Inequalities Involving Quadratic Functions4.1 Polynomial Functions
Chapter 4 Review, Test, and Projects
4.2 Graphing Polynomial Functions; Models
4.3 Properties of Rational Functions
4.4 The Graph of a Rational Function
4.5 Polynomial and Rational Inequalities
4.6 The Real Zeros of a Polynomial Function5.1 Composite Functions
Chapter 5 Review, Test, and Projects
5.2 One-to-One Functions; Inverse Functions
5.3 Exponential Functions
5.4 Logarithmic Functions
5.5 Properties of Logarithms
5.6 Logarithmic and Exponential Equations
5.7 Financial Models
5.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models
5.9 Building Exponential, Logarithmic, and Logistic Models from Data
6. Trigonometric Functions6.1 Angles, Arc, Length, and Circular Motion
Chapter 6 Review, Test, and Projects
6.2 Trigonometric Functions: Unit Circle Approach
6.3 Properties of the Trigonometric Functions
6.4 Graphs of the Sine and Cosine Functions
6.5 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
6.6 Phase Shift; Sinusoidal Curve Fitting7.1 The Inverse Sine, Cosine, and Tangent Functions
Chapter 7 Review, Test, and Projects
7.2 The Inverse Trigonometric Functions (Continued)
7.3 Trigonometric Equations
7.4 Trigonometric Identities
7.5 Sum and Difference Formulas
7.6 Double-angle and Half-angle Formulas
7.7 Product-to-Sum and Sum-to-Product Formulas8.1 Right Triangle Trigonometry; Applications
Chapter 8 Review, Test, and Projects
8.2 The Law of Sines
8.3 The Law of Cosines
8.4 Area of a Triangle
8.5 Simple Harmonic Motion; Damped Motion; Combining Waves9.1 Polar Coordinates
Chapter 9 Review, Test, and Projects
9.2 Polar Equations and Graphs
9.3 The Complex Plane; De Moivre’s Theorem
9.4 Vectors
9.5 The Dot Product10.1 Conics
Chapter 10 Review, Test, and Projects
10.2 The Parabola
10.3 The Ellipse
10.4 The Hyperbola
10.5 Rotation of Axes; General Form of a Conic
10.6 Polar Equations of Conics
10.7 Plane Curves and Parametric Equations11.1 Systems of Linear Equations: Substitution and Elimination
Chapter 11 Review, Test, and Projects
11.2 Systems of Linear Equations: Matrices
11.3 Systems of Linear Equations: Determinants
11.4 Matrix Algebra
11.5 Partial Fraction Decomposition
11.6 Systems of Nonlinear Equations
11.7 Systems of Inequalities
11.8 Linear Programming12.1 Sequences
Chapter 12 Review, Test, and Projects
12.2 Arithmetic Sequences
12.3 Geometric Sequences; Geometric Series
12.4 Mathematical Induction
12.5 The Binomial Theorem13.1 Counting
Chapter 13 Review, Test, and Projects
13.2 Permutations and Combinations
13.3 Probability14.1 Finding Limits Using Tables and Graphs
Chapter 14 Review, Test, and Projects
14.2 Algebra Techniques for Finding Limits
14.3 One-sided Limits; Continuous Functions
14.4 The Tangent Problem; The Derivative
14.5 The Area Problem; The Integral
A.1 Algebra Essentials
A.2 Geometry Essentials
A.3 Polynomials
A.4 Synthetic Division
A.5 Rational Expressions
A.6 Solving Equations
A.7 Complex Numbers; Quadratic Equations in the Complex Number System
A.8 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
A.9 Interval Notation; Solving Inequalities
A.10 nth Roots; Rational Exponents
B.1 The Viewing Rectangle
B.2 Using a Graphing Utility to Graph Equations
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
B.4 Using a Graphing Utility to Solve Equations
B.5 Square Screens
B.6 Using a Graphing Utility to Graph Inequalities
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
B.8 Using a Graphing Utility to Graph a Polar Equation
B.9 Using a Graphing Utility to Graph Parametric
Equations
Credits
Index
What is Test Bank?
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