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Algebra and Trigonometry,9780618052837
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Algebra and Trigonometry

by
Edition:
5th
ISBN13:

9780618052837

ISBN10:
0618052836
Format:
Hardcover
Pub. Date:
6/8/2000
Publisher(s):
Cengage Learning
List Price: $308.66

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This is the 5th edition with a publication date of 6/8/2000.
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Summary

As the best seller in its field, "Algebra and Trigonometry is the choice for instructors who wish to include a thorough review of algebra at the beginning of their precalculus level course. The text introduces trigonometry first with a right triangle approach and then with the unit circle. The text' s unparalleled exercises, motivating real-life applications, cutting-edge design, and innovative ancillaries and technology resources make it the most complete program available.For a complete listing of features, see Larson/Hostetler, "College Algebra, 5/e.

Table of Contents

A Word from the Authors (Preface) ix
Features Highlights xii
An Introduction to Graphing Utilities xviii
Prerequisites
1(75)
Real Numbers
2(10)
Exponents and Radicals
12(13)
Polynomials and Special Products
25(9)
Factoring
34(8)
Rational Expressions
42(11)
Errors and the Algebra of Calculus
53(7)
Graphical Representation of Data
60(16)
Chapter Summary
70(1)
Review Exercises
71(3)
Chapter Project: Numerically Finding a Maximum Volume
74(1)
Chapter Test
75(1)
Equations and Inequalities
76(94)
Graphs of Equations
78(10)
Linear Equations in One Variable
88(10)
Modeling with Linear Equations
98(12)
Quadratic Equations
110(14)
Complex Numbers
124(7)
Other Types of Equations
131(12)
Linear Inequalities
143(10)
Other Types of Inequalities
153(17)
Chapter Summary
163(1)
Review Exercises
164(4)
Chapter Project: Finding Falling Times Numerically
168(1)
Chapter Test
169(1)
Functions and Their Graphs
170(82)
Linear Equations in Two Variables
172(15)
Functions
187(14)
Analyzing Graphs of Functions
201(13)
Shifting, Reflecting, and Stretching Graphs
214(11)
Combinations of Functions
225(8)
Inverse Functions
233(19)
Chapter Summary
243(1)
Review Exercises
244(4)
Chapter Project: A Graphical Approach to Maximization
248(1)
Chapter Test
249(1)
Cumulative Test: Chapters p-2
250(2)
Polynomial Functions
252(70)
Quadratic Functions
254(11)
Polynomial Functions of Higher Degree
265(13)
Polynomial and Synthetic Division
278(10)
Zeors of Polynomial Functions
288(15)
Mathematical Modeling
303(19)
Chapter Summary
315(1)
Review Exercises
316(4)
Chapter Project: Finding Points of Intersection Graphically
320(1)
Chapter Test
321(1)
Rational Functions and Conics
322(56)
Rational Functions and Asymptotes
324(9)
Graphs of Rational Functions
333(9)
Partial Fractions
342(8)
Conics
350(13)
Translations of Conics
363(15)
Chapter Summary
371(1)
Review Exercises
372(4)
Chapter Project: Graphical Approach to Finding Average Cost
376(1)
Chapter Test
377(1)
Exponential and Logarithmic Functions
378(64)
Exponential Functions and Their Graphs
380(12)
Logarithmic Functions and Their Graphs
392(11)
Properties of Logarithms
403(6)
Exponential and Logarithmic Equations
409(11)
Exponential and Logarithmic Models
420(22)
Chapter Summary
433(1)
Review Exercises
434(4)
Chapter Project: Graphical Approach to Compound Interest
438(1)
Chapter Test
439(1)
Cumulative Test: Chapters 3-5
440(2)
Trigonometry
442(86)
Angles and Their Measures
444(11)
Right Triangle Trigonometry
455(11)
Trigonometric Functions of Any Angle
466(12)
Graphs of Sine and Cosine Functions
478(11)
Graphs of Other Trigonometric Functions
489(11)
Inverse Trigonometric Functions
500(10)
Applications and Models
510(18)
Chapter Summary
521(1)
Review Exercises
522(4)
Chapter Project: Analyzing a Graph
526(1)
Chapter Test
527(1)
Analytic Trigonometry
528(52)
Using Fundamental Identities
530(8)
Verifying Trigonometric Identities
538(7)
Solving Trigonometric Equations
545(11)
Sum and Difference Formulas
556(7)
Multiple-Angle and Product-to-Sum Formulas
563(17)
Chapter Summary
574(1)
Review Exercises
575(3)
Chapter Project: Projectile Motion
578(1)
Chapter Test
579(1)
Additional Topics in Trigonometry
580(60)
Law of Sines
582(9)
Law of Cosines
591(8)
Vectors in the Plane
599(13)
Vectors and Dot Products
612(8)
Trigonometric Form of a Complex Number
620(20)
Chapter Summary
631(1)
Review Exercises
632(4)
Chapter Project: Adding Vectors Graphically
636(1)
Chapter Test
637(1)
Cumulative Test: Chapters 6-8
638(2)
Systems of Equations and Inequalities
640(66)
Solving Systems of Equations
642(11)
Two-Variable Linear Systems
653(12)
Multivariable Linear Systems
665(13)
Systems of Inequalities
678(11)
Linear Programming
689(17)
Chapter Summary
699(1)
REview Exercises
700(4)
Chapter Project: Fitting Models to Data
704(1)
Chapter Test
705(1)
Matrices and Determinants
706(68)
Matrices and Systems of Equations
708(15)
Operations with Matrices
723(14)
The Inverse of a Square Matrix
737(9)
The Determinant of a Square Matrix
746(8)
Applications of Matrices and Determinants
754(20)
Chapter Summary
766(1)
Review Exercises
767(5)
Chapter Project: Solving Systems of Equations
772(1)
Chapter Test
773(1)
Sequences, Series, and Probability
774
Sequences and Series
776(11)
Arithmetic Sequences and Partial Sums
787(9)
Geometric Sequences and Series
796(10)
Mathematical Induction
806(10)
The Binomial Theorem
816(8)
Counting Principles
824(10)
Probability
834
Chapter Summary
847(1)
Review Exercises
848(4)
Chapter Project: Exploring Difference Quotients
852(1)
Chapter Test
853(1)
Cumulative Test: Chapters 9-11
854
Appendices
Appendix A Proofs of Selected Theorems
A1
Appendix B Concepts in Statistics
A13
B.1 Representing Data
A13
B.2 Measures of Central Tendency and Dispersion
A17
B.3 Least Squares Regression
A26
Answers to Odd-Numbered Exercises and Tests A31
Index of Applications A153
Index A157


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