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

• ISBN13:

• ISBN10:

## 0618643478

• Edition: 7th
• Format: Paperback
• Publisher: Cengage Learning
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### Summary

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

 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)
 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)
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