Precalculus: Mathematics for Calculus Solution Manual,9780534492908

Precalculus: Mathematics for Calculus Solution Manual

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Edition: 5th
ISBN13: 9780534492908
ISBN10: 0534492908
Format: Paperback
Pub. Date: 2005-10-07
Publisher(s): Cengage Learning
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Summary

The student solutions manual provides worked out solutions to the odd-numbered problems in the text.

Table of Contents

Fundamentals
1(64)
Real Numbers
1(2)
Exponents and Radicals
3(2)
Algebraic Expressions
5(3)
Rational Expressions
8(4)
Equations
12(4)
Modeling with Equations
16(5)
Inequalities
21(8)
Coordinate Geometry
29(10)
Graphing Calculators; Solving Equations and Inequalities Graphically
39(5)
Lines
44(5)
Modeling Variation
49(16)
Chapter 1 Review
50(6)
Chapter 1 Test
56(5)
Focus on Problem Solving: General Principles
61(4)
Functions
65(42)
What is a Function?
65(3)
Graphs of Functions
68(5)
Increasing and Decreasing Functions; Average Rate of Change
73(2)
Transformations of Functions
75(5)
Quadratic Functions; Maxima and Minima
80(6)
Modeling with Functions
86(4)
Combining Functions
90(3)
One-to-One Functions and Their Inverses
93(14)
Chapter 2 Review
97(6)
Chapter 2 Test
103(2)
Focus on Modeling: Fitting Lines to Data
105(2)
Polynomial and Rational Functions
107(48)
Polynomial Functions and Their Graphs
107(6)
Dividing Polynomials
113(3)
Real Zeros of Polynomials
116(14)
Complex Numbers
130(2)
Complex Zeros and the Fundamental Theorem of Algebra
132(4)
Rational Functions
136(19)
Chapter 3 Review
144(6)
Chapter 3 Test
150(3)
Focus on Modeling: Fitting Polynomial Curves to Data
153(2)
Exponential and Logarithmic Functions
155(26)
Exponential Functions
155(5)
Logarithmic Functions
160(3)
Laws of Logarithms
163(2)
Exponential and Logarithmic Equations
165(3)
Modeling with Exponential and Logarithmic Functions
168(13)
Chapter 4 Review
171(4)
Chapter 4 Test
175(2)
Focus on Modeling: Fitting Exponential and Power Curves to Data
177(4)
Trigonometric Functions of Real Numbers
181(24)
The Unit Circle
181(2)
Trigonometric Functions of Real Numbers
183(2)
Trigonometric Graphs
185(5)
More Trigonometric Graphs
190(4)
Modeling Harmonic Motion
194(11)
Chapter 5 Review
196(3)
Chapter 5 Test
199(2)
Focus on Modeling: Fitting Sinusoidal Curves to Data
201(4)
Trigonometric Functions of Angles
205(16)
Angle Measure
205(1)
Trigonometry of Right Angles
206(3)
Trigonometric Functions of Angles
209(2)
The Law of Sines
211(2)
The Law of Cosines
213(8)
Chapter 6 Review
215(2)
Chapter 6 Test
217(2)
Focus on Modeling: Surveying
219(2)
Analytic Trigonometry
221(22)
Trigonometric Functions
221(3)
Addition and Subtraction Formulas
224(2)
Double-Angle, Half-Angle, and Product-Sum Formulas
226(4)
Inverse Trigonometric Functions
230(3)
Trigonometric Equations
233(10)
Chapter 7 Review
237(3)
Chapter 7 Test
240(1)
Focus on Modeling: Traveling and Standing Waves
241(2)
Polar Coordinates and Vectors
243(22)
Polar Coordinates
243(2)
Graphs of Polar Equations
245(3)
Polar Form of Complex Numbers; DeMoivre's Theorem
248(5)
Vectors
253(3)
The Dot Product
256(9)
Chapter 8 Review
257(3)
Chapter 8 Test
260(3)
Focus on Modeling: Mapping the World
263(2)
Systems of Equations and Inequalities
265(56)
Systems of Equations
265(5)
Systems of Linear Equations in Two Variables
270(3)
Systems of Linear Equations in Several Variables
273(3)
Systems of Linear Equations: Matrices
276(5)
The Algebra of Matrices
281(3)
Inverses of Matrices and Matrix Equations
284(4)
Determinants and Cramer's Rule
288(7)
Partial Fractions
295(5)
Systems of Inequalities
300(21)
Chapter 9 Review
304(8)
Chapter 9 Test
312(5)
Focus on Modeling: Linear Programming
317(4)
Analytic Geometry
321(36)
Parabolas
321(2)
Ellipses
323(3)
Hyperbolas
326(3)
Shifted Conics
329(4)
Rotation of Axes
333(4)
Polar Equations of Conics
337(3)
Plane Curves and Parametric Equations
340(17)
Chapter 10 Review
345(5)
Chapter 10 Test
350(5)
Focus on Modeling: The Path of a Projectile
355(2)
Sequences and Series
357(24)
Sequences and Summation Notation
357(2)
Arithmetic Sequences
359(2)
Geometric Sequences
361(4)
Mathematics of Finance
365(1)
Mathematical Induction
366(5)
The Binomial Theorem
371(10)
Chapter 11 Review
373(3)
Chapter 11 Test
376(3)
Focus on Modeling: Modeling with Recursive Sequences
379(2)
Limits: A Preview of Calculus
381(16)
Finding Limits Numerically and Graphically
381(1)
Finding Limits Algebraically
382(3)
Tangent Lines and Derivatives
385(2)
Limits at Infinity; Limits of Sequences
387(2)
Areas
389(8)
Chapter 12 Review
392(3)
Chapter 12 Test
395(2)
Focus on Modeling: Interpretations of Area
397

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