Preface 

xi  (4) 
To the Student 

xv  

CHAPTER 1 Fundamentals of Algebra 


1  (52) 


1  (10) 

1.2 FirstDegree Equations 


11  (11) 


22  (6) 


28  (5) 


33  (6) 

1.6 Exponents and Radicals 


39  (8) 


47  (2) 

Chapter 1 Review Exercises 


49  (2) 

Case 1 Consumers Often Defy Common Sense 


51  (2) 

CHAPTER 2 Graphs, Equations, and Inequalities 


53  (63) 


53  (8) 

2.2 Slope and the Equations of a Line 


61  (13) 

2.3 Applications of Linear Equations 


74  (11) 


85  (10) 


95  (8) 

2.6 Polynomial and Rational Inequalities 


103  (6) 


109  (1) 

Chapter 2 Review Exercises 


110  (3) 


113  (3) 

CHAPTER 3 Functions and Graphs 


116  (33) 


116  (8) 


124  (12) 

3.3 Applications of Linear Functions 


136  (10) 


146  (1) 

Chapter 3 Review Exercises 


146  (2) 

Case 3 Marginal CostBooz, Allen and Hamilton 


148  (1) 

CHAPTER 4 Polynomial and Rational Functions 


149  (36) 


149  (8) 

4.2 Applications of Quadratic Functions 


157  (7) 


164  (8) 


172  (9) 


181  (1) 

Chapter 4 Review Exercises 


181  (2) 

Case 4 ErrorCorrecting Codes 


183  (2) 

CHAPTER 5 Exponential and Logarithmic Functions 


185  (40) 

5.1 Exponential Functions 


185  (8) 

5.2 Applications of Exponential Functions 


193  (7) 

5.3 Logarithmic Functions 


200  (11) 

5.4 Applications of Logarithmic Functions 


211  (8) 


219  (1) 

Chapter 5 Review Exercises 


220  (3) 

Case 5 Characteristics of the Monkeyface Prickleback 


223  (2) 

CHAPTER 6 Mathematics of Finance 


225  (40) 

6.1 Simple Interest and Discount 


225  (6) 


231  (9) 


240  (10) 

6.4 Present Value of an Annuity; Amortization 


250  (6) 

6.5 Applying Financial Formulas 


256  (3) 


259  (1) 

Chapter 6 Review Exercises 


260  (3) 

Case 6 Time, Money, and Polynomials 


263  (2) 

CHAPTER 7 Systems of Linear Equations and Matrices 


265  (59) 

7.1 Systems of Linear Equations 


265  (14) 

7.2 The GaussJordan Method 


279  (8) 

7.3 Basic Matrix Operations 


287  (8) 

7.4 Matrix Products and Inverses 


295  (12) 

7.5 Applications of Matrices 


307  (9) 


316  (2) 

Chapter 7 Review Exercises 


318  (3) 

Case 7 Leontief's Model of the American Economy 


321  (3) 

CHAPTER 8 Linear Programming 


324  (67) 

8.1 Graphing Linear Inequalities in Two Variables 


324  (8) 

8.2 Linear Programming: The Graphical Method 


332  (8) 

8.3 Applications of Linear Programming 


340  (7) 

8.4 The Simplex Method: Maximization 


347  (13) 

8.5 Maximization Applications 


360  (5) 

8.6 The Simplex Method: Duality and Minimization 


365  (9) 

8.7 The Simplex Method: Nonstandard Problems 


374  (11) 


385  (1) 

Chapter 8 Review Exercises 


386  (4) 

Case 8 A Minimum Cost Balanced Organic Fertilizer Mix 


390  (1) 

CHAPTER 9 Sets and Probability 


391  (60) 


391  (9) 

9.2 Applications of Venn Diagrams 


400  (9) 


409  (7) 

9.4 Basic Concepts of Probability 


416  (11) 

9.5 Conditional Probability; Independent Events 


427  (12) 


439  (7) 


446  (1) 

Chapter 9 Review Exercises 


447  (3) 


450  (1) 

CHAPTER 10 Further Topics in Probability 


451  (55) 

10.1 Permutations and Combinations 


451  (12) 

10.2 Applications of Counting 


463  (6) 

10.3 Binomial Probability 


469  (5) 


474  (10) 

10.5 Probability Distributions; Expected Value 


484  (12) 


496  (4) 


500  (1) 

Chapter 10 Review Exercises 


501  (3) 

Case 10 Optimal Inventory for a Service Truck 


504  (2) 

CHAPTER 11 Introduction to Statistics 


506  (41) 

11.1 Frequency Distributions; Measures of Central Tendency 


506  (10) 

11.2 Measures of Variation 


516  (9) 

11.3 Normal Distributions 


525  (10) 

11.4 Binomial Distributions 


535  (7) 


542  (1) 

Chapter 11 Review Exercises 


543  (2) 

Case 11 Statistical Process Control 


545  (2) 

CHAPTER 12 Differential Calculus 


547  (86) 


547  (11) 


558  (9) 

12.3 Tangent Lines and Derivatives 


567  (15) 

12.4 Techniques for Finding Derivatives 


582  (12) 

12.5 Derivatives of Products and Quotients 


594  (7) 


601  (10) 

12.7 Derivatives of Exponential and Logarithmic Functions 


611  (7) 

12.8 Continuity and Differentiability 


618  (8) 


626  (2) 

Chapter 12 Review Exercises 


628  (3) 

Case 12 Price Elasticity of Demand 


631  (2) 

CHAPTER 13 Applications of the Derivative 


633  (52) 

13.1 Derivatives and Graphs 


633  (15) 

13.2 The Second Derivative 


648  (11) 

13.3 Optimization Applications 


659  (14) 

13.4 Curve Sketching (Optional) 


673  (8) 


681  (1) 

Chapter 13 Review Exercises 


682  (1) 

Case 13 A Total Cost Model for a Training Program 


683  (2) 

CHAPTER 14 Integral Calculus 


685  (62) 


685  (9) 

14.2 Integration by Substitution 


694  (8) 

14.3 Area and the Definite Integral 


702  (9) 

14.4 The Fundamental Theorem of Calculus 


711  (11) 

14.5 Applications of Integrals 


722  (10) 

14.6 Tables of Integrals (Optional) 


732  (2) 

14.7 Differential Equations 


734  (8) 


742  (1) 

Chapter 14 Review Exercises 


743  (2) 

Case 14 Estimating Depletion Dates for Minerals 


745  (2) 

CHAPTER 15 Multivariate Calculus 


747  (28) 

15.1 Functions of Several Variables 


747  (9) 


756  (9) 

15.3 Extrema of Functions of Several Variables 


765  (7) 


772  (2) 

Chapter 15 Review Exercises 


774  (1) 
Appendix A Graphing Calculators 

775  (1) 
Part 1: Introduction 

775  (6) 
Part 2: Program Appendix 

781  (20) 
Appendix B Tables 

801  
Answers to Selected Exercises 

A1  
Index of Applications 

I1  
Index 

I9  