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Precalculus: Enhanced with Graphing Utilities,9780131490925
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Precalculus: Enhanced with Graphing Utilities

by ;
Edition:
5th
ISBN13:

9780131490925

ISBN10:
0131490923
Format:
Hardcover
Pub. Date:
1/1/2009
Publisher(s):
Prentice Hall
Includes 2-weeks free access to
step-by-step solutions for this book.
Step-by-Step solutions are actual worked out problems to the questions at the end of each chapter that help you understand your homework and study for your exams. Chegg and eCampus are providing you two weeks absolutely free. 81% of students said using Step-by-Step solutions prepared them for their exams.
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Summary

This is the number one, best selling graphing-required version of Mike Sullivan's precalculus series. It is used by thousands of students and hundreds of instructors because, simply, "IT WORKS." "IT WORKS for both instructors and students because Mike Sullivan, after twenty-five years of teaching, knows exactly what students need to do to succeed in a math class and he therefore emphasizes and organizes his text around the fundamentals; preparing, practicing, and reviewing. Students who prepare (read the book, practice their skills learned in previous math classes), practice (work the math focusing on the fundamental and important mathematical concepts), and review (study key concepts and review for quizzes and tests) succeed in class. Instructors appreciate this emphasis as it supports their teaching goals to help their students succeed as well as appreciate the fact that this dependable text retains its best features- - accuracy, precision, depth, strong student support, and abundant exercises, while substantially updating content and pedagogy. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus.

Table of Contents

Preface to the Instructor xiii
List of Applications
xix
Photo Credits xxiii
To the Student xxiv
Graphs
1(54)
Rectangular Coordinates; Graphing Utilities
2(9)
Graphs of Equations in Two Variables
11(13)
Solving Equations in One Variable Using a Graphing Utility
24(3)
Lines
27(17)
Circles
44(11)
Chapter Review
51(3)
Chapter Test
54(1)
Chapter Projects
54(1)
Functions and Their Graphs
55(94)
Functions
56(15)
The Graph of a Function
71(9)
Properties of Functions
80(13)
Linear Functions and Models
93(14)
Library of Functions; Piecewise-defined Functions
107(11)
Graphing Techniques: Transformations
118(12)
Mathematical Models: Constructing Functions
130(19)
Chapter Review
138(7)
Chapter Test
145(1)
Chapter Projects
146(1)
Cumulative Review
147(2)
Polynomial and Rational Functions
149(98)
Quadratic Functions and Models
150(20)
Polynomial Functions and Models
170(16)
Properties of Rational Functions
186(12)
The Graph of a Rational Function; Inverse and Joint Variation
198(14)
Polynomial and Rational Inequalities
212(7)
The Real Zeros of a Polynomial Function
219(14)
Complex Zeros: Fundamental Theorem of Algebra
233(14)
Chapter Review
238(6)
Chapter Test
244(1)
Chapter Projects
245(1)
Cumulative Review
246(1)
Exponential and Logarithmic Functions
247(108)
Composite Functions
248(8)
One-to-One Functions; Inverse Functions
256(15)
Exponential Functions
271(16)
Logarithmic Functions
287(13)
Properties of Logarithms
300(9)
Logarithmic and Exponential Equations
309(6)
Compound Interest
315(9)
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay
324(13)
Building Exponential, Logarithmic, and Logistic Models from Data
337(18)
Chapter Review
345(7)
Chapter Test
352(1)
Chapter Projects
353(1)
Cumulative Review
353(2)
Trigonometric Functions
355(92)
Angles and Their Measure
356(14)
Trigonometric Functions: Unit Circle Approach
370(18)
Properties of the Trigonometric Functions
388(14)
Graphs of the Sine and Cosine Functions
402(17)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
419(6)
Phase Shift: Sinusoidal Curve Fitting
425(22)
Chapter Review
437(6)
Chapter Test
443(2)
Chapter Projects
445(1)
Cumulative Review
446(1)
Analytic Trigonometry
447(70)
The Inverse Sine, Cosine, and Tangent Functions
448(12)
The Inverse Trigonometric Functions (continued)
460(5)
Trigonometric Identities
465(8)
Sum and Difference Formulas
473(10)
Double-angle and Half-angle Formulas
483(10)
Product-to-Sum and Sum-to-Product Formulas
493(3)
Trigonometric Equations (I)
496(7)
Trigonometric Equations (II)
503(14)
Chapter Review
511(3)
Chapter Test
514(1)
Chapter Projects
515(1)
Cumulative Review
516(1)
Applications of Trigonometric Functions
517(54)
Right Triangle Trigonometry; Applications
518(13)
The Law of Sines
531(12)
The Law of Cosines
543(6)
Area of a Triangle
549(6)
Simple Harmonic Motion; Damped Motion; Combining Waves
555(16)
Chapter Review
564(4)
Chapter Test
568(1)
Chapter Projects
569(1)
Cumulative Review
570(1)
Polar Coordinates; Vectors
571(80)
Polar Coordinates
572(9)
Polar Equations and Graphs
581(19)
The Complex Plane; De Moivre's Theorem
600(8)
Vectors
608(12)
The Dot Product
620(8)
Vectors in Space
628(10)
The Cross Product
638(13)
Chapter Review
645(4)
Chapter Test
649(1)
Chapter Projects
650(1)
Cumulative Review
650(1)
Analytic Geometry
651(74)
Conics
652(1)
The Parabola
653(11)
The Ellipse
664(11)
The Hyperbola
675(14)
Rotation of Axes; General Form of a Conic
689(9)
Polar Equations of Conics
698(7)
Plane Curves and Parametric Equations
705(20)
Chapter Review
719(3)
Chapter Test
722(1)
Chapter Projects
723(1)
Cumulative Review
723(2)
Systems of Equations and Inequalities
725(106)
Systems of Linear Equations: Substitution and Elimination
726(15)
Systems of Linear Equations: Matrices
741(17)
Systems of Linear Equations: Determinants
758(10)
Matrix Algebra
768(17)
Partial Fraction Decomposition
785(8)
Systems of Nonlinear Equations
793(11)
Systems of Inequalities
804(11)
Linear Programming
815(16)
Chapter Review
823(5)
Chapter Test
828(1)
Chapter Project
829(1)
Cumulative Review
830(1)
Sequences; Induction; The Binomial Theorem
831(44)
Sequences
832(12)
Arithmetic Sequences
844(6)
Geometric Sequences: Geometric Series
850(9)
Mathematical Induction
859(4)
The Binomial Theorem
863(12)
Chapter Review
870(2)
Chapter Test
872(1)
Chapter Project
873(1)
Cumulative Review
874(1)
Counting and Probability
875(34)
Sets and Counting
876(6)
Permutations and Combinations
882(11)
Probability
893(16)
Chapter Review
904(3)
Chapter Test
907(1)
Chapter Project
908(1)
Cumulative Review
908(1)
A Preview of Calculus: The Limit, Derivative, and Integral of a Function
909(42)
Finding Limits Using Tables and Graphs
910(5)
Algebra Techniques for Finding Limits
915(8)
One-sided Limits; Continuous Functions
923(7)
The Tangent Problem; The Derivative
930(8)
The Area Problem; The Integral
938(13)
Chapter Review
946(3)
Chapter Test
949(1)
Chapter Project
950(1)
Appendix Review
951
A.1. Algebra Review
951(10)
A.2. Geometry Review
961(5)
A.3. Polynomials and Rational Expressions
966(11)
A.4. Polynomial Division; Synthetic Division
977(7)
A.5. Solving Equations
984(16)
A.6. Complex Numbers; Quadratic Equations in the Complex Number System
1000(9)
A.7. Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
1009(11)
A.8. Interval Notation; Solving Inequalities
1020(12)
A.9. nth Roots; Rational Exponents; Radical Equations
1032
Answers 1(1)
Index 1


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