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Precalculus Enhanced With Graphing Utilities,9780130659156
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Precalculus Enhanced With Graphing Utilities

by ;
Edition:
3rd
ISBN13:

9780130659156

ISBN10:
0130659150
Format:
Hardcover
Pub. Date:
1/1/2003
Publisher(s):
Prentice Hall
List Price: $120.67
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Summary

The Sullivan Enhanced with Graphing Utilities series fully integrates the graphing calculator. These widely adopted books are known for their precise careful presentation of mathematics. This precision permeates the book and is particularly evident in the examples, pedagogy and exercises. This book includes coverage a wide range of topics including functions and their graphs, polynomial and rational functions, exponential and logarithmic functions, trigonometric functions and their applications, analytic geometry, systems of equations and inequalities, probability, and an introduction to calculus. For anyone who needs to brush up on everyday or business-related mathematics.

Table of Contents

Preface to the Instructor x
Preface to the Student xvi
List of Applications
xxvi
Photo Credits xxxi
Graphs
1(80)
Rectangular Coordinates; Graphing Utilities
2(10)
Introduction to Graphing Equations
12(8)
Symmetry; Graphing Key Equations; Circles
20(13)
Solving Equations
33(13)
Solving Inequalities
46(13)
Lines
59(22)
Chapter Review
75(4)
Chapter Projects
79(2)
Functions and Their Graphs
81(92)
Functions
82(19)
Linear Functions and Models
101(11)
Properties of Functions
112(13)
Library of Functions; Piecewise-Defined Functions
125(10)
Graphing Techniques: Transformations
135(13)
Operations on Functions; Composite Functions
148(10)
Mathematical Models: Constructing Functions
158(15)
Chapter Review
166(5)
Chapter Projects
171(1)
Cumulative Review
172(1)
Polynomial and Rational Functions
173(100)
Quadratic Functions and Models
174(21)
Power Functions and Models
195(6)
Polynomial Functions and Models
201(13)
Rational Functions I
214(12)
Rational Functions II: Analyzing Graphs
226(10)
Polynomial and Rational Inequalities
236(8)
The Real Zeros of a Polynomial Function
244(15)
Complex Zeros; Fundamental Theorem of Algebra
259(14)
Chapter Review
264(6)
Chapter Projects
270(1)
Cumulative Review
271(2)
Exponential and Logarithmic Functions
273(94)
One-to-One Functions; Inverse Functions
274(13)
Exponential Functions
287(14)
Logarithmic Functions
301(12)
Properties of Logarithms
313(10)
Logarithmic and Exponential Equations
323(4)
Compound Interest
327(11)
Growth and Decay
338(11)
Exponential, Logarithmic, and Logistic Models
349(18)
Chapter Review
358(6)
Chapter Projects
364(1)
Cumulative Review
365(2)
Trigonometric Functions
367(90)
Angles and Their Measure
368(14)
Trigonometric Functions: Unit Circle Approach
382(17)
Properties of the Trigonometric Functions
399(15)
Graphs of the Sine and Cosine Functions
414(16)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
430(7)
Phase Shifts; Sinusoidal Curve Fitting
437(20)
Chapter Review
448(6)
Chapter Projects
454(2)
Cumulative Review
456(1)
Analytic Trigonometry
457(70)
The Inverse Sine, Cosine, and Tangent Functions
459(11)
The Inverse Trigonometric Functions (continued)
470(5)
Trigonometric Identities
475(7)
Sum and Difference Formulas
482(11)
Double-Angle and Half-Angle Formulas
493(10)
Product-to-Sum and Sum-to-Product Formulas
503(4)
Trigonometric Equations I
507(6)
Trigonometric Equations II
513(14)
Chapter Review
520(4)
Chapter Projects
524(1)
Cumulative Review
525(2)
Applications of Trigonometric Functions
527(54)
Right Triangle Trigonometry
528(11)
Law of Sines
539(12)
Law of Cosines
551(6)
Area of a Triangle
557(6)
Simple Harmonic Motion; Damped Motion; Combining Waves
563(18)
Chapter Review
573(5)
Chapter Projects
578(2)
Cumulative Review
580(1)
Polar Coordinates; Vectors
581(80)
Polar Coordinates
582(9)
Polar Equations and Graphs
591(18)
The Complex Plane; De Moivre's Theorem
609(9)
Vectors
618(12)
The Dot Product
630(8)
Vectors in Space
638(10)
The Cross Product
648(13)
Chapter Review
654(4)
Chapter Projects
658(1)
Cumulative Review
659(2)
Analytic Geometry
661(78)
Conics
662(1)
The Parabola
663(12)
The Ellipse
675(12)
The Hyperbola
687(15)
Rotation of Axes; General Form of a Conic
702(9)
Polar Equations of Conics
711(7)
Plane Curves and Parametric Equations
718(21)
Chapter Review
733(4)
Chapter Projects
737(1)
Cumulative Review
738(1)
Systems of Equations and Inequalities
739(112)
Systems of Linear Equations: Two Equations Containing two Variables
740(11)
Systems of Linear Equations: Three Equations Containing Three Variables
751(6)
Systems of Linear Equations: Matrices
757(18)
Systems of Linear Equations: Determinants
775(12)
Matrix Algebra
787(18)
Partial Fraction Decomposition
805(8)
Systems of Nonlinear Equations
813(11)
Systems of Inequalities
824(10)
Linear Programming
834(17)
Chapter Review
842(6)
Chapter Projects
848(1)
Cumulative Review
849(2)
Sequences; Induction; The Binomial Theorem
851(50)
Sequences
852(15)
Arithmetic Sequences
867(6)
Geometric Sequences; Geometric Series
873(11)
Mathematical Induction
884(4)
The Binomial Theorem
888(13)
Chapter Review
896(3)
Chapter Projects
899(1)
Cumulative Review
900(1)
Counting and Probability
901(42)
Sets and Counting
902(6)
Permutations and Combinations
908(11)
Probability of Equally Likely Outcomes
919(13)
Obtaining Probabilities from Data
932(11)
Chapter Review
937(4)
Chapter Projects
941(1)
Cumulative Review
942(1)
A Preview of Calculus: The Limit Derivative, and Integral of a Function
943(44)
Finding Limits Using Tables and Graphs
944(5)
Algebra Techniques for Finding Limits
949(8)
One-sided Limits; Continuous Functions
957(8)
The Tangent Problem; the Derivative
965(8)
The Area Problem; the Integral
973(14)
Chapter Review
981(4)
Chapter Projects
985(2)
APPENDIX REVIEW 987(1)
A.1 Algebra Review
987(10)
A.2 Geometry Review
997(5)
A.3 Polynomials
1002(11)
A.4 Rational Expressions
1013(9)
A.5 Polynomial Division; Synthetic Division
1022(7)
A.6 Equations; Completing the Square; the Quadratic Formula
1029(8)
A.7 Complex Numbers; Quadratic Equations with a Negative Discriminant
1037(9)
A.8 Setting Up Equations; Applications
1046(14)
A.9 nth Roots; Rational Exponents
1060
Answers 1(1)
Index 1


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