Student Solutions Guide for Larson/Hostetler, Precalculus, 7th

by Larson, Ron

• ISBN13: 9780618643479
• ISBN10: 0618643478
• Edition: 7th
• Format: Paperback
• Copyright: 2006-07-05
• Publisher: Cengage Learning

Summary

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

Table of Contents

Part I Solutions to Odd-Numbered Exercises	1	(624)
Functions and Their Graphs
Section 1.1 Rectangular Coordinates	2	(5)
Section 1.2 Graphs of Equations	7	(5)
Section 1.3 Linear Equations in Two Variables	12	(7)
Section 1.4 Functions	19	(6)
Section 1.5 Analyzing Graphs of Functions	25	(6)
Section 1.6 A Library of Parent Functions	31	(4)
Section 1.7 Transformations of Functions	35	(8)
Section 1.8 Combinations of Functions: Composite Functions	43	(5)
Section 1.9 Inverse Functions	48	(8)
Section 1.10 Mathematical Modeling and Variation	56	(20)
Review Exercises	60	(10)
Problem Solving	70	(3)
Practice Test	73	(3)
Polynomial and Rational Functions
Section 2.1 Quadratic Functions and Models	76	(8)
Section 2.2 Polynomial Functions of Higher Degree	84	(9)
Section 2.3 Polynomial and Synthetic Division	93	(7)
Section 2.4 Complex Numbers	100	(4)
Section 2.5 Zeros of Polynomial Functions	104	(10)
Section 2.6 Rational Functions	114	(9)
Section 2.7 Nonlinear Inequalities	123	(25)
Review Exercises	132	(11)
Problem Solving	143	(2)
Practice Test	145	(3)
Exponential and Logarithmic Functions
Section 3.1 Exponential Functions and Their Graphs	148	(4)
Section 3.2 Logarithmic Functions and Their Graphs	152	(5)
Section 3.3 Properties of Logarithms	157	(4)
Section 3.4 Exponential and Logarithmic Equations	161	(7)
Section 3.5 Exponential and Logarithmic Models	168	(18)
Review Exercises	175	(7)
Problem Solving	182	(2)
Practice Test	184	(2)
Trigonometry
Section 4.1 Radian and Degree Measure	186	(5)
Section 4.2 Trigonometric Functions: The Unit Circle	191	(3)
Section 4.3 Right Triangle Trigonometry	194	(6)
Section 4.4 Trigonometric Functions of Any Angle	200	(6)
Section 4.5 Graphs of Sine and Cosine Functions	206	(7)
Section 4.6 Graphs of Other Trigonometric Functions	213	(6)
Section 4.7 Inverse Trigonometric Functions	219	(6)
Section 4.8 Applications and Models	225	(16)
Review Exercises	230	(7)
Problem Solving	237	(2)
Practice Test	239	(2)
Analytic Trigonometry
Section 5.1 Using Fundamental Identities	241	(7)
Section 5.2 Verifying Trigonometric Identities	248	(4)
Section 5.3 Solving Trigonometric Equations	252	(6)
Section 5.4 Sum and Difference Formulas	258	(9)
Section 5.5 Multiple-Angle and Product-to-Sum Formulas	267	(24)
Review Exercises	279	(7)
Problem Solving	286	(3)
Practice Test	289	(2)
Additional Topics in Trigonometry
Section 6.1 Law of Sines	291	(4)
Section 6.2 Law of Cosines	295	(5)
Section 6.3 Vectors in the Plane	300	(6)
Section 6.4 Vectors and Dot Products	306	(5)
Section 6.5 Trigonometric Form of a Complex Number	311	(21)
Review Exercises	321	(7)
Problem Solving	328	(2)
Practice Test	330	(2)
Systems of Equations and Inequalities
Section 7.1 Linear and Nonlinear Systems of Equations	332	(7)
Section 7.2 Two-Variable Linear Systems	339	(7)
Section 7.3 Multivariable Linear Systems	346	(12)
Section 7.4 Partial Fractions	358	(7)
Section 7.5 Systems of Inequalities	365	(6)
Section 7.6 Linear Programming	371	(21)
Review Exercises	377	(8)
Problem Solving	385	(4)
Practice Test	389	(3)
Matrices and Determinants
Section 8.1 Matrices and Systems of Equations	392	(8)
Section 8.2 Operations with Matrices	400	(7)
Section 8.3 The Inverse of a Square Matrix	407	(8)
Section 8.4 The Determinant of a Square Matrix	415	(6)
Section 8.5 Applications of Matrices and Determinants	421	(23)
Review Exercises	427	(11)
Problem Solving	438	(3)
Practice Test	441	(3)
Sequences, Series, and Probability
Section 9.1 Sequences and Series	444	(6)
Section 9.2 Arithmetic Sequences and Partial Sums	450	(4)
Section 9.3 Geometric Sequences and Series	454	(7)
Section 9.4 Mathematical Induction	461	(8)
Section 9.5 The Binomial Theorem	469	(5)
Section 9.6 Counting Principles	474	(3)
Section 9.7 Probability	477	(13)
Review Exercises	480	(5)
Problem Solving	485	(3)
Practice Test	488	(2)
Topics in Analytic Geometry
Section 10.1 Lines	490	(4)
Section 10.2 Introduction to Conics: Parabolas	494	(5)
Section 10.3 Ellipses	499	(6)
Section 10.4 Hyperbolas	505	(6)
Section 10.5 Rotation of Conics	511	(9)
Section 10.6 Parametric Equations	520	(7)
Section 10.7 Polar Coordinates	527	(5)
Section 10.8 Graphs of Polar Equations	532	(6)
Section 10.9 Polar Equations of Conics	538	(19)
Review Exercises	544	(8)
Problem Solving	552	(3)
Practice Test	555	(2)
APPENDIX A Review of Fundamental Concepts of Algebra
Appendix A.1 Review of Real Numbers and Their Properties	557	(5)
Appendix A.2 Exponents and Radicals	562	(4)
Appendix A.3 Polynomials and Factoring	566	(7)
Appendix A.4 Rational Expressions	573	(4)
Appendix A.5 Solving Equations	577	(12)
Appendix A.6 Linear Inequalities in One Variable	589	(5)
Appendix A.7 Errors and the Algebra of Calculus	594	(4)
Solutions to Practice Tests	598	(27)
Part II Solutions to Chapter and Cumulative Tests	625