Precalculus: Mathematics for Calculus Solution Manual

by Stewart, James; Redlin, Lothar; Watson, Saleem

• ISBN13: 9780534492908
• ISBN10: 0534492908
• Edition: 5th
• Format: Paperback
• Copyright: 2005-10-07
• Publisher: Cengage Learning

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