Solution Manual for Precalculus Enhanced with Graphing Utilities Michael Sullivan, Michael Sullivan III

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Product details:

• ISBN-10 ‏ : ‎ 0132831864
• ISBN-13 ‏ : ‎ 978-0132831864
• Author: Sullivan

Precalculus, Enhanced with Graphing Utilities

Table of contents:

1. Graphs
   • 1.1 Graphing Utilities; Introduction to Graphing Equations
   • 1.2 The Distance and Midpoint Formulas
   • 1.3 Intercepts; Symmetry; Graphing Key Equations
   • 1.4 Solving Equations Using a Graphing Utility
   • 1.5 Lines
   • 1.6 Circles
   • Chapter Review
   • Chapter Test
   • Chapter Project
2. Functions and Their Graphs
   • 2.1 Functions
   • 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 Functions
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
3. Linear and Quadratic Functions
   • 3.1 Properties of Linear Functions and Linear Models
   • 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 Functions
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
4. Polynomial and Rational Functions
   • 4.1 Polynomial Functions and Models
   • 4.2 The Graph of a Polynomial Function and Models
   • 4.3 The Real Zeros of a Polynomial Function
   • 4.4 Complex Zeros; Fundamental Theorem of Algebra
   • 4.5 Properties of Rational Functions
   • 4.6 The Graph of a Rational Function
   • 4.7 Polynomial and Rational Inequalities
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
5. Exponential and Logarithmic Functions
   • 5.1 Composite Functions
   • 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
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
6. Trigonometric Functions
   • 6.1 Angles and Their Measure
   • 6.2 Trigonometric Functions: A 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 Fitting
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
7. Analytic Trigonometry
   • 7.1 The Inverse Sine, Cosine, and Tangent Functions
   • 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 Formulas
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
8. Applications of Trigonometric Functions
   • 8.1 Right Triangle Trigonometry; Applications
   • 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 Waves
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
9. Polar Coordinates; Vectors
   • 9.1 Polar Coordinates
   • 9.2 Polar Equations and Graphs
   • 9.3 The Complex Plane; DeMoivre’s Theorem
   • 9.4 Vectors
   • 9.5 The Dot Product
   • 9.6 Vectors in Space
   • 9.7 The Cross Product
   • Chapter Review
   • Chapter Test
   • Cumulative Review
   • Chapter Projects
10. Analytic Geometry
    • 10.1 Conics
    • 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 Equations
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
11. Systems of Equations and Inequalities
    • 11.1 Systems of Linear Equations: Substitution and Elimination
    • 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 Programming
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
12. Sequences; Induction; The Binomial Theorem
    • 12.1 Sequences
    • 12.2 Arithmetic Sequences
    • 12.3 Geometric Sequences; Geometric Series
    • 12.4 Mathematical Induction
    • 12.5 The Binomial Theorem
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
13. Counting and Probability
    • 13.1 Counting
    • 13.2 Permutations and Combinations
    • 13.3 Probability
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects
14. A Preview of Calculus: The Limit, Derivative, and Integral of a Fraction
    • 14.1 Finding Limits Using Tables and Graphs
    • 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
    • Chapter Review
    • Chapter Test
    • Cumulative Review
    • Chapter Projects

Appendix A: Review

• A.1 Algebra Essentials
• A.2 Geometry Essentials
• A.3 Polynomials
• A.4 Synthetic Division
• A.5 Rational Expressoins
• 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

Appendix B: The Limit of a Sequence; Infinite Series

Answers

Credits

Subject Index

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