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Precalculus,9780669417418
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Precalculus

by
Edition:
4th
ISBN13:

9780669417418

ISBN10:
0669417416
Format:
Paperback
Pub. Date:
11/1/1996
Publisher(s):
Brooks Cole
List Price: $236.99

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Table of Contents

Prerequisites
1(102)
Real Numbers
2(11)
Exponents and Radicals
13(14)
Polynomials and Factoring
27(14)
Fractional Expressions
41(11)
Solving Equations
52(13)
Solving Inequalities
65(12)
Errors and the Algebra of Calculus
77(8)
Graphical Representation of Data
85(18)
Focus on Concepts
95(1)
Review Exercises
96(4)
Chapter Project: A Numerical Approach to Maximizing a Volume
100(2)
Chapter Test
102(1)
Functions and Their Graphs
103(102)
Graphs and Graphing Utilities
104(14)
Lines in the Plane and Slope
118(15)
Functions
133(14)
Analyzing Graphs of Functions
147(12)
Translations and Combinations
159(14)
Inverse Functions
173(11)
Mathematical Modeling
184(21)
Focus on Concepts
198(1)
Review Exercises
199(3)
Chapter Project: A Graphical Approach to Maximization
202(2)
Chapter Test
204(1)
Polynomial and Rational Functions
205(92)
Quadratic Functions
206(12)
Polynomial Functions of Higher Degree
218(13)
Polynomial and Synthetic Division
231(11)
Real Zeros of Polynomial Functions
242(10)
Complex Numbers
252(8)
The Fundamental Theorem of Algebra
260(9)
Rational Functions
269(13)
Partial Fractions
282(15)
Focus on Concepts
290(1)
Review Exercises
291(3)
Chapter Project: A Graphical Approach to Finding Zeros
294(2)
Chapter Test
296(1)
Exponential and Logarithmic Functions
297(62)
Exponential Functions and Their Graphs
298(12)
Logarithmic Functions and Their Graphs
310(11)
Properties of Logarithms
321(7)
Exponential and Logarithmic Equations
328(11)
Exponential and Logarithmic Models
339(20)
Focus on Concepts
352(1)
Review Exercises
353(3)
Chapter Project: A Graphical Approach to Compound Interest
356(2)
Cumulative Test for Chapters 1--3
358(1)
Trigonometry
359(98)
Radian and Degree Measure
360(11)
Trigonometric Functions: The Unit Circle
371(9)
Right Triangle Trigonometry
380(12)
Trigonometric Functions of Any Angle
392(10)
Graphs of Sine and Cosine Functions
402(13)
Graphs of Other Trigonometric Functions
415(12)
Inverse Trigonometric Functions
427(11)
Applications and Models
438(19)
Focus on Concepts
450(1)
Review Exercises
451(3)
Chapter Project: Analyzing a Graph
454(2)
Chapter Test
456(1)
Analytic Trigonometry
457(54)
Using Fundamental Identities
458(8)
Verifying Trigonometric Identities
466(8)
Solving Trigonometric Equations
474(11)
Sum and Difference Formulas
485(8)
Multiple-Angle and Product-to-Sum Formulas
493(18)
Focus on Concepts
505(1)
Review Exercises
506(2)
Chapter Project: Solving Equations Graphically
508(2)
Chapter Test
510(1)
Additional Topics in Trigonometry
511(62)
Law of Sines
512(10)
Law of Cosines
522(9)
Vectors in a Plane
531(14)
Vectors and Dot Products
545(10)
DeMoivre's Theorem
555(18)
Focus on Concepts
566(1)
Review Exercises
567(3)
Chapter Project: Adding Vectors Graphically
570(2)
Cumulative Test for Chapters 4--6
572(1)
Systems of Equations and Inequalities
573(66)
Solving Systems of Equations
574(11)
Two-Variable Linear Systems
585(12)
Multivariable Linear Systems
597(13)
Systems of Inequalities
610(10)
Linear Programming
620(19)
Focus on Concepts
631(1)
Review Exercises
632(4)
Chapter Project: Fitting Models to Data
636(2)
Chapter Test
638(1)
Matrices and Determinants
639(68)
Matrices and Systems of Equations
640(15)
Operations with Matrices
655(14)
The Inverse of a Square Matrix
669(10)
The Determinant of a Square Matrix
679(9)
Applications of Matrices and Determinants
688(19)
Focus on Concepts
700(1)
Review Exercises
701(3)
Chapter Project: Solving Systems of Equations
704(2)
Chapter Test
706(1)
Sequences and Probability
707(82)
Sequences and Summation Notation
708(12)
Arithmetic Sequences
720(9)
Geometric Sequences
729(10)
Mathematical Induction
739(11)
The Binomial Theorem
750(8)
Counting Principles
758(10)
Probability
768(21)
Focus on Concepts
782(1)
Review Exercises
783(3)
Chapter Project: Recognizing Patterns in Data
786(2)
Cumulative Test for Chapters 7-9
788(1)
Topics in Analytic Geometry
789(1)
Lines
790(8)
Introduction to Conics: Parabolas
798(9)
Ellipses
807(10)
Hyperbolas
817(10)
Rotation of Conics
827(9)
Parametric Equations
836(10)
Polar Coordinates
846(8)
Graphs of Polar Equations
854(9)
Polar Equations of Conics
863(5)
Focus on Concepts
872(1)
Review Exercises
873(3)
Chapter Project: Graphing in Parametric and Polar Models
876(2)
Chapter Test
878
APPENDICES A1
Appendix A: Further Concepts in Statistics
A2
A.1 Representing Data and Linear Modeling
A2
A.2 Measures of Central Tendency and Dispersion
A13
Appendix B: Think About the Proof
A21
Appendix C: Programs
A31
Appendix D: Scientific Calculator Keystrokes
A69
Answers to Warm UPS, Odd-Numbered Exercises, Focus on Concepts, and Tests A73
Index of Applications A193
Index A198


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