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Algeba & Trigonometry Enhanced With Graphing Utilities,9780130833341
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Algeba & Trigonometry Enhanced With Graphing Utilities

by ;
Edition:
2nd
ISBN13:

9780130833341

ISBN10:
0130833347
Format:
Hardcover
Pub. Date:
9/1/1999
Publisher(s):
Prentice Hall
List Price: $105.00

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This is the 2nd edition with a publication date of 9/1/1999.
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Summary

Changes to this edition have significantly improved the text's accessibility. Graphing Calculator usage is used to promote mathematical modeling, problem solving and motivating concepts. The trigonometry is first developed through the right angle and then through unit circle. Features a full range of supplements including MathPak.

Table of Contents

Preface to the Instructor ix
Preface to the Student xiii
List of Application
xxiii
Photo Credits xxvii
Graphs
1(96)
Rectangular Coordinates; Graphing Utilities; Scatter Diagrams
2(13)
Graphs of Equations
15(14)
Solving Equations
29(11)
Setting Up Equations; Applications
40(13)
Solving Inequalities
53(13)
Lines
66(17)
Circles
83(14)
Chapter Review
90(5)
Chapter Projects
95(2)
Linear and Quadratic Functions
97(58)
Functions
98(17)
Linear Functions and Models
115(9)
Quadratic Equations and Functions
124(15)
Quadratic Functions and Models
139(16)
Chapter Review
150(4)
Chapter Projects
154(1)
Functions and Their Graphs
155(58)
Characteristics of Functions; Library of Functions
156(22)
Graphing Techniques: Transformations
178(13)
Operations on Functions; Composite Functions
191(9)
Mathematical Models: Constructing Functions
200(13)
Chapter Review
208(4)
Chapter Projects
212(1)
Polynomial and Rational Functions
213(96)
Power Functions and Models
214(7)
Polynomial Functions and Models
221(13)
Polynomial Division
234(6)
The Real Zeros of a Polynomial Function
240(14)
Complex Numbers; Quadratic Equations with a Negative Discriminant
254(9)
Complex Zeros; Fundamental Theorem of Algebra
263(7)
Rational Functions
270(23)
Polynomial and Rational Inequalities
293(16)
Chapter Review
302(5)
Chapter Projects
307(2)
Exponential and Logarithmic Functions
309(92)
One-to-One Functions; Inverse Functions
310(13)
Exponential Functions
323(14)
Logarithmic Functions
337(10)
Properties of Logarithms
347(8)
Logarithmic and Exponential Equations
355(7)
Compound Interest
362(10)
Growth and Decay
372(10)
Exponential, Logarithmic, and Logistic Curve Fitting
382(19)
Chapter Review
393(5)
Chapter Projects
398(3)
Systems of Equations and Inequalities
401(94)
Systems of Linear Equations: Two Equations Containing Two Variables
402(11)
Systems of Linear Equations: Three Equations Containing Three Variables
413(6)
Systems of Linear Equations: Matrices
419(15)
Systems of Linear Equations: Determinants
434(11)
Matrix Algebra
445(19)
Systems of Linear Inequalities; Linear Programming
464(17)
Partial Fraction Decomposition
481(14)
Chapter Review
488(5)
Chapter Projects
493(2)
Trigonometric Functions
495(92)
Angles and Their Measure
496(12)
Right Triangle Trigonometry
508(11)
Computing the Values of Trigonometric Functions of Given Angles
519(7)
Trigonometric Functions of General Angles
526(11)
Properties of the Trigonometric Functions; Unit Circle Approach
537(11)
Graphs of the Trigonometric Functions
548(12)
Sinusoidal Graphs; Sinusoidal Curve Fitting
560(27)
Chapter Review
579(6)
Chapter Projects
585(2)
Analytic Trigonometry
587(64)
Trigonometric Identities
589(5)
Sum and Difference Formulas
594(9)
Double-Angle and Half-Angle Formulas
603(10)
Product-to-Sum and Sum-to-Product Formulas
613(3)
The Inverse Trigonometric Functions
616(16)
Trigonometric Equations (I)
632(5)
Trigonometric Equations (II)
637(14)
Chapter Review
644(4)
Chapter Projects
648(3)
Applications of Trigonometric Functions
651(48)
Solving Right Triangles
652(9)
The Law of Sines
661(12)
The Law of Cosines
673(6)
The Area of a Triangle
679(6)
Simple Harmonic Motion; Damped Motion
685(14)
Chapter Review
692(5)
Chapter Projects
697(2)
Polar Coordinates; Vectors
699(64)
Polar Coordinates
700(8)
Polar Equations and Graphs
708(20)
The Complex Plane; DeMoivre's Theorem
728(8)
Vectors
736(11)
The Dot Product
747(16)
Chapter Review
757(4)
Chapter Projects
761(2)
Analytic Geometry
763(88)
Conics
764(1)
The Parabola
765(12)
The Ellipse
777(13)
The Hyperbola
790(14)
Rotation of Axes; General Form of a Conic
804(9)
Polar Equations of Conics
813(6)
Plane Curves and Parametric Equations
819(15)
Systems of Nonlinear Equations
834(17)
Chapter Review
845(4)
Chapter Projects
849(2)
Sequences; Induction; the Binomial Theorem
851(54)
Sequences
852(12)
Arithmetic Sequences
864(7)
Geometric Sequences; Geometric Series
871(16)
Mathematical Induction
887(4)
The Binomial Theorem
891(14)
Chapter Review
898(4)
Chapter Projects
902(3)
Counting and Probability
905(54)
Sets and Counting
906(6)
Permutations and Combinations
912(10)
Probability of Equally Likely Outcomes
922(16)
Analyzing Univariate Data; Obtaining Probabilities from Data
938(21)
Chapter Review
952(5)
Chapter Projects
957(2)
APPENDIX REVIEW 959
1. Real Numbers
959(14)
2. Algebra Review
973(11)
3. Geometry Review
984(6)
4. Integer Exponents
990(8)
5. Polynomials
998(8)
6. Factoring Polynomials
1006(9)
7. Rational Expressions
1015(12)
8. Square Roots; Radicals
1027(8)
9. Rational Exponents
1035
Answers AN1(1)
Index I1


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