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Precalculus

ISBN: 9780131431201 | 013143120X
Edition: 8th
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2008

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SummaryTable of Contents
For undergraduate courses in Precalculus. The Seventh Edition of 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.
The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth... MORE
Preface to the Instructorxi
List of Applications
xvi
Photo Creditsxx
Graphs
1... MORE
Rectangular Coordinates
2(7)
Graphs of Equations; Circles
9(13)
Lines
22(16)
Scatter Diagrams; Linear Curve Fitting
38(11)
Chapter Review
45(3)
Chapter Projects
48(1)
Functions and Their Graphs
49(74)
Functions
50(13)
The Graph of a Function
63(9)
Properties of Functions
72(11)
Library of Functions; Piecewise-defined Functions
83(11)
Graphing Techniques: Transformations
94(13)
Mathematical Models: Constructing Functions
107(16)
Chapter Review
115(6)
Chapter Projects
121(1)
Cumulative Review
122(1)
Polynomial and Rational Functions
123(100)
Quadratic Functions and Models
124(20)
Polynomial Functions
144(18)
Rational Functions I
162(11)
Rational Functions II: Analyzing Graphs
173(15)
Polynomial and Rational Inequalities
188(6)
The Real Zeros of a Polynomial Function
194(15)
Complex Zeros; Fundamental Theorem of Algebra
209(14)
Chapter Review
215(5)
Chapter Projects
220(1)
Cumulative Review
221(2)
Exponential and Logarithmic Functions
223(100)
Composite Functions
224(7)
Inverse Functions
231(13)
Exponential Functions
244(16)
Logarithmic Functions
260(13)
Properties of Logarithms
273(9)
Logarithmic and Exponential Equations
282(5)
Compound Interest
287(10)
Exponential Growth and Decay; Newton's Law; Logistic Models
297(9)
Fitting Data to Exponential, Logarithmic, and Logistic Functions
306(17)
Chapter Review
314(6)
Chapter Projects
320(1)
Cumulative Review
321(2)
Trigonometric Functions
323(90)
Angles and Their Measure
324(14)
Trigonometric Functions: Unit Circle Approach
338(17)
Properties of the Trigonometric Functions
355(14)
Graphs of the Sine and Cosine Functions
369(17)
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
386(7)
Phase Shift; Sinusoidal Curve Fitting
393(20)
Chapter Review
405(6)
Chapter Projects
411(1)
Cumulative Review
412(1)
Analytic Trigonometry
413(68)
The Inverse Sine, Cosine, and Tangent Functions
414(11)
The Inverse Trigonometric Functions (continued)
425(5)
Trigonometric Identities
430(7)
Sum and Difference Formulas
437(11)
Double-angle and Half-angle Formulas
448(9)
Product-to-Sum and Sum-to-Product Formulas
457(4)
Trigonometric Equations I
461(6)
Trigonometric Equations II
467(14)
Chapter Review
475(4)
Chapter Projects
479(1)
Cumulative Review
480(1)
Applications of Trigonometric Functions
481(54)
Right Triangle Trigonometry; Applications
482(12)
The Law of Sines
494(13)
The Law of Cosines
507(6)
Area of a Triangle
513(6)
Simple Harmonic Motion; Damped Motion; Combining Waves
519(16)
Chapter Review
528(5)
Chapter Projects
533(1)
Cumulative Review
534(1)
Polar Coordinates; Vectors
535(78)
Polar Coordinates
536(9)
Polar Equations and Graphs
545(17)
The Complex Plane; De Moivre's Theorem
562(8)
Vectors
570(12)
The Dot Product
582(8)
Vectors in Space
590(10)
The Cross Product
600(13)
Chapter Review
607(4)
Chapter Projects
611(1)
Cumulative Review
612(1)
Analytic Geometry
613(70)
Conies
614(1)
The Paraboal
615(10)
The Ellipse
625(10)
The Hyperbola
635(14)
Rotation of Axes; General Form of a Conic
649(9)
Polar Equations of Conics
658(6)
Plane Curves and Parametric Equations
664(19)
Chapter Review
678(3)
Chapter Projects
681(1)
Cumulative Review
682(1)
Systems of Equations and Inequalities
683(100)
Systems of Linear Equations: Substitution and Elimination
684(16)
Systems of Linear Equations: Matrices
700(16)
Systems of Linear Equations: Determinants
716(10)
Matrix Algebra
726(17)
Partial Fraction Decomposition
743(8)
Systems of Nonlinear Equations
751(9)
Systems of Inequalities
760(9)
Linear Programming
769(14)
Chapter Review
777(4)
Chapter Projects
781(1)
Cumulative Review
782(1)
Sequences; Induction; The Binomial Theorem
783(44)
Sequences
784(9)
Arithmetic Sequences
793(6)
Geometric Sequences; Geometric Series
799(12)
Mathematical Induction
811(4)
The Binomial Theorem
815(12)
Chapter Review
822(3)
Chapter Projects
825(1)
Cumulative Review
826(1)
Counting and Probability
827(34)
Sets and Counting
828(6)
Permutations and Combinations
834(11)
Probability
845(16)
Chapter Review
856(3)
Chapter Projects
859(1)
Cumulative Review
860(1)
A Preview of Calculus: The Limit, Derivative, and Integral of a Function
861(42)
Finding Limits Using Tables and Graphs
862(5)
Algebra Techniques for Finding Limits
867(8)
One-sided Limits, Continuous Functions
875(8)
The Tangent Problem; The Derivative
883(8)
The Area Problem; The Integral
891(12)
Chapter Review
898(4)
Chapter Projects
902(1)
Appendix A Review
903(82)
A.1 Algebra Review
903(10)
A.2 Geometry Review
913(5)
A.3 Polynomials and Rational Expressions
918(11)
A.4 Polynomial Division; Synthetic Division
929(7)
A.5 Solving Equations
936(11)
A.6 Complex Numbers; Quadratic Equations in the Complex Number System
947(9)
A.7 Setting Up Equations: Applications
956(12)
A.8 Interval Notation; Solving Inequalities
968(9)
A.9 nth Roots; Rational Exponents; Radical Equations
977(8)
Appendix B Graphing Utilities
985(1)
B.1 The Viewing Rectangle
985(2)
B.2 Using a Graphing Utility to Graph Equations
987(4)
B.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry
991(3)
B.4 Using a Graphing Utility to Solve Equations
994(1)
B.5 Square Screens
995(1)
B.6 Using a Graphing Utility to Graph Inequalities
996(2)
B.7 Using a Graphing Utility to Solve Systems of Linear Equations
998(1)
B.8 Using a Graphing Utility to Graph a Polar Equation
999(1)
B.9 Using a Graphing Utility to Graph Parametric Equations
1000
Answers1(1)
Index1

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