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Precalculus : Graphs and Models,9780201694420
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Precalculus : Graphs and Models

by ;
ISBN13:

9780201694420

ISBN10:
0201694425
Format:
Hardcover
Pub. Date:
11/1/1996
Publisher(s):
Addison-Wesley

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Table of Contents

Introduction to Graphs and Graphers 1(20)
Basic Concepts of Algebra
The Real-Number System
20(5)
Integer Exponents, Scientific Notation, and Order of Operations
25(7)
Addition, Subtraction, and Multiplication of Polynomials
32(4)
Factoring
36(4)
Rational Expressions
40(9)
Radical Notation and Rational Exponents
49(9)
Solving Equations
58(8)
Solving Inequalities
66(6)
Modeling and Applications
72(12)
Summary and Review
79(5)
Graphs, Functions, and Models
Functions, Graphs, and Graphers
84(14)
Functions and Applications
98(13)
Linear Functions and Applications
111(16)
Data Analysis, Curve Fitting, and Linear Regression
127(8)
Distance, Midpoints, and Circles
135(5)
Symmetry
140(7)
Transformations of Functions
147(11)
The Algebra of Functions
158(14)
Summary and Review
167(5)
Polynomial and Rational Functions
Introduction to Polynomial Functions and Complex Numbers
172(8)
Quadratic Equations and Functions
180(16)
Polynomial Models and Curve Fitting
196(12)
Polynomial Division; The Remainder and Factor Theorems
208(7)
Theorems about OSPF Zeros of Polynomial Functions
215(9)
Rational Functions
224(14)
Polynomial and Rational Inequalities
238(12)
Summary and Review
245(5)
Exponential and Logarithmic Functions
Inverse Functions
250(11)
Exponential Functions and Graphs
261(13)
Logarithmic Functions and Graphs
274(13)
Properties of Logarithmic Functions
287(9)
Solving Exponential and Logarithmic Equations
296(7)
Applications and Models: Growth and Decay
303(19)
Summary and Review
318(4)
The Trigonometric Functions
Trigonometric Functions of Acute Angles
322(11)
Applications of Right Triangles
333(10)
Trigonometric Functions of Any Angle
343(15)
Radians, Arc Length, and Angular Speed
358(14)
Circular Functions: Graphs and Properties
372(17)
Graphs of Transformed Sine and Cosine Functions
389(21)
Summary and Review
404(6)
Trigonometric Identities, Inverse Functions, and Equations
Identities: Pythagorean and Sum and Difference
410(13)
Identities: Cofunction, Double-Angle, and Half-Angle
423(8)
Proving Trigonometric Identities
431(7)
Inverses of the Trigonometric Functions
438(10)
Solving Trigonometric Equations
448(16)
Summary and Review
459(5)
Applications of Trigonometry
The Law of Sines
464(12)
The Law of Cosines
476(8)
Complex Numbers: Trigonometric Form
484(12)
Polar Coordinates and Graphs
496(9)
Vectors
505(17)
Summary and Review
518(4)
Systems and Matrices
Systems of Equations in Two Variables
522(10)
Systems of Equations in Three or More Variables
532(8)
Matrices and Systems of Equations
540(8)
Matrix Operations
548(12)
Inverses of Matrices
560(6)
Systems of Inequalities and Linear Programming
566(11)
Partial Fractions
577(13)
Summary and Review
585(5)
Conic Sections
The Parabola
590(8)
The Circle and the Ellipse
598(10)
The Hyperbola
608(9)
Nonlinear Systems of Equations
617(13)
Summary and Review
625(5)
Sequences, Series, and Combinatorics
Sequences and Series
630(11)
Artithmetic Sequences and Series
641(10)
Geometric Sequences and Series
651(11)
Mathematical Induction
662(7)
Combinatorics: Permutations
669(10)
Combinatorics: Combinations
679(7)
The Binomial Theorem
686(9)
Probability
695(14)
Summary and Review
705(4)
Appendixes 709
A Determinants and Cramer's Rule
709
B Parametric Equations
716
Answers A-1
Index of Applications I-1
Index I-5


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