Preface 

ix  
To the Student 

xv  


1  (65) 


1  (10) 


11  (6) 


17  (5) 


22  (7) 


29  (10) 


39  (11) 


50  (16) 


60  (1) 

Chapter 1 Review Exercises 


61  (3) 

Case 1 Consumers Often Defy Common Sense 


64  (2) 

Graphs, Lines, and Inequalities 


66  (54) 


66  (10) 


76  (13) 


89  (11) 


100  (8) 

Polynomial and Rational Inequalities 


108  (12) 


114  (1) 

Chapter 2 Review Exercises 


115  (3) 

Case 2 Using Extrapolation to Predict Life Expectancy 


118  (2) 


120  (72) 


120  (8) 


128  (13) 

Applications of Linear Functions 


141  (11) 


152  (7) 

Applications of Quadratic Functions 


159  (9) 


168  (9) 


177  (15) 


187  (1) 

Chapter 3 Review Exercises 


188  (4) 

Exponential and Logarithmic Functions 


192  (39) 


192  (7) 

Applications of Exponential Functions 


199  (8) 


207  (8) 

Logarithmic and Exponential Equations 


215  (16) 


225  (1) 

Chapter 4 Review Exercises 


226  (3) 

Case 3 Characteristics of the Monkeyface Prickleback 


229  (2) 


231  (44) 

Simple Interest and Discount 


231  (7) 


238  (11) 

Future Value of an Annuity and Sinking Funds 


249  (10) 

Present Value of an Annuity and Amortization 


259  (16) 


268  (1) 

Chapter 5 Review Exercises 


269  (4) 

Case 4 Time, Money, and Polynomials 


273  (2) 

Systems of Linear Equations and Matrices 


275  (68) 

Systems of Linear Equations 


275  (16) 


291  (11) 


302  (8) 

Matrix Products and Inverses 


310  (14) 


324  (19) 


336  (1) 

Chapter 6 Review Exercises 


337  (4) 

Case 5 Matrix Operations and Airline Route Maps 


341  (2) 


343  (72) 

Graphing Linear Inequalities in Two Variables 


343  (8) 

Linear Programming: The Graphical Method 


351  (7) 

Applications of Linear Programming 


358  (8) 

The Simplex Method: Maximization 


366  (14) 

Maximization Applications 


380  (7) 

The Simplex Method: Duality and Minimization 


387  (9) 

The Simplex Method: Nonstandard Problems 


396  (19) 


409  (1) 

Chapter 7 Review Exercises 


410  (3) 

Case 6 Cooking with Linear Programming 


413  (2) 


415  (66) 


415  (9) 

Applications of Venn Diagrams 


424  (9) 

Introduction to Probability 


433  (8) 

Basic Concepts of Probability 


441  (10) 

Conditional Probability and Independent Events 


451  (14) 


465  (16) 


472  (2) 

Chapter 8 Review Exercises 


474  (5) 


479  (2) 

Counting, Probability Distributions, and Further Topics in Probability 


481  (64) 

Permutations and Combinations 


481  (14) 


495  (8) 


503  (7) 

Probability Distributions and Expected Value 


510  (12) 


522  (12) 


534  (11) 


538  (1) 

Chapter 9 Review Exercises 


539  (3) 

Case 8 Optimal Inventory for a Service Truck 


542  (3) 

Introduction to Statistics 


545  (52) 

Frequency Distributions and Measures of Central Tendency 


545  (15) 


560  (10) 


570  (13) 

Normal Approximation to the Binomial Distribution 


583  (14) 


590  (1) 

Chapter 10 Review Exercises 


591  (3) 

Case 9 Statistics in the LawThe Castaneda Decision 


594  (3) 


597  (98) 


597  (12) 


609  (12) 

Tangent Lines and Derivatives 


621  (16) 

Techniques for Finding Derivatives 


637  (13) 

Derivatives of Products and Quotients 


650  (8) 


658  (12) 

Derivatives of Exponential and Logarithmic Functions 


670  (9) 

Continuity and Differentiability 


679  (16) 


687  (2) 

Chapter 11 Review Exercises 


689  (3) 

Case 10 Price Elasticity of Demand 


692  (3) 

Applications of the Derivative 


695  (56) 


695  (16) 


711  (13) 

Optimization Applications 


724  (14) 


738  (13) 


746  (1) 

Chapter 12 Review Exercises 


747  (2) 

Case 11 A Total Cost Model for a Training Program 


749  (2) 


751  (70) 


751  (10) 

Integration by Substitution 


761  (9) 

Area and the Definite Integral 


770  (12) 

The Fundamental Theorem of Calculus 


782  (11) 

Applications of Integrals 


793  (12) 

Tables of Integrals (Optional) 


805  (2) 


807  (14) 


815  (1) 

Chapter 13 Review Exercises 


816  (3) 

Case 12 Bounded Population Growth 


819  (2) 


821  (34) 

Functions of Several Variables 


821  (12) 


833  (9) 

Extrema of Functions of Several Variables 


842  (13) 


851  (1) 

Chapter 14 Review Exercises 


852  (1) 

Case 13 Global Warming and the Method of Least Squares 


853  (2) 
Appendix A Graphing Calculators 

855  (2) 
Appendix B Tables 

857  

Table 1: Formulas from Geometry 


857  (1) 

Table 2: Areas Under the Normal Curve 


858  (2) 


860  
Answers to Selected Exercises 

1  (1) 
Index of Applications 

1  (8) 
Index 

9  