Preface 

xiii  


1  (59) 


2  (8) 


10  (6) 


16  (5) 

Radicals and Rational Exponents 


21  (7) 

Operations with Algebraic Expressions 


28  (10) 


38  (6) 


44  (16) 


52  (2) 


54  (3) 


57  (1) 

Extended Applications & Group Projects: Campaign Management Pricing for Maximum Profit 


58  (2) 

Linear Equations and Functions 


60  (85) 


61  (1) 

Solution of Linear Equations in One Variable 


62  (10) 


72  (15) 


87  (13) 

Graphs and Graphing Utilities 


100  (12) 

Graphical Solution of Linear Equations 



Solutions of Systems of Linear Equations 


112  (12) 

Three Equations in Three Variables 



Applications of Functions in Business and Economics 


124  (21) 

Total Cost, Total Revenue, and Profit 





Supply, Demand, and Market Equilibrium 




136  (1) 


137  (4) 


141  (2) 

Extended Applications & Group Projects: Hospital Administration Fundraising 


143  (2) 


145  (68) 


146  (1) 


147  (11) 





Quadratic Functions: Parabolas 


158  (10) 

Business Applications of Quadratic Functions 


168  (9) 

Supply, Demand, and Market Equilibrium 



BreakEven Points and Maximization 



Special Functions and Their Graphs 


177  (13) 

Polynomial and Rational Functions 



Piecewise Defined Functions 



Modeling; Fitting Curves to Data with Graphing Utilities (optional) 


190  (23) 


202  (1) 


203  (4) 


207  (3) 

Extended Applications & Group Projects: International Email Usage Operating Leverage and Business Risk 


210  (3) 


213  (85) 


214  (1) 


215  (13) 

Multiplication of Matrices 


228  (15) 

GaussJordan Elimination: Solving Systems of Equations 


243  (17) 

Systems with Unique Solutions 



Systems with Nonunique Solutions 



Inverse of a Square Matrix; Matrix Equations 


260  (16) 





Applications of Matrices: Leontief InputOutput Models 


276  (22) 


289  (1) 


290  (3) 


293  (3) 

Extended Applications & Group Projects: Taxation Company Profits After Bonuses and Taxes 


296  (2) 

Inequalities and Linear Programming 


298  (79) 


299  (1) 

Linear Inequalities in One Variable 


300  (6) 

Linear Inequalities in Two Variables 


306  (10) 

Linear Programming: Graphical Methods 


316  (13) 

The Simplex Method: Maximization 


329  (19) 

Nonunique Solutions: Multiple Solutions and No Solution 



The Simplex Method: Duality and Minimization 


348  (11) 

The Simplex Method with Mixed Constraints 


359  (18) 


369  (1) 


370  (3) 


373  (2) 

Extended Applications & Group Projects: Transportation Manufacturing 


375  (2) 

Exponential and Logarithmic Functions 


377  (49) 


378  (1) 


379  (12) 

Modeling Exponential Functions 



Logarithmic Functions and Their Properties 


391  (13) 

Logarithmic Functions and Graphs 







Solution of Exponential Equations: Applications of Exponential and Logarithmic Functions 


404  (22) 



Economic and Management Applications 




418  (1) 


419  (2) 


421  (2) 

Extended Applications & Group Projects: Agricultural Business Management National Debt 


423  (3) 


426  (65) 


427  (1) 

Simple Interest; Sequences 


428  (8) 







Compound Interest; Geometric Sequences 


436  (16) 





Future Value of Annuities 


452  (11) 







Present Value of Annuities 


463  (11) 








474  (17) 




483  (1) 


484  (3) 


487  (2) 

Extended Applications & Group Projects 


489  (2) 

Mail Solicitation Home Equity Loan: Is This a Good Deal? Profit Reinvestment Purchasing a Home 



Introduction to Probability 


491  (72) 


492  (1) 


493  (11) 

Unions and Intersections of Events: OneTrial Experiments 


504  (9) 

Conditional Probability: The Product Rule 


513  (12) 

Probability Trees and Bayes' Formula 


525  (9) 





Counting: Permutations and Combinations 


534  (7) 

Permutations, Combinations, and Probability 


541  (6) 


547  (16) 


555  (1) 


556  (3) 


559  (2) 

Extended Applications & Group Projects: Phone Numbers Competition in the Telecommunications Industry 


561  (2) 

Further Topics in Probability: Data Description 


563  (52) 


564  (1) 

Binomial Probability Experiments 


565  (5) 


570  (14) 

Discrete Probability Distributions: Decision Making 


584  (8) 



The Binomial Distribution 


592  (6) 

Normal Probability Distribution 


598  (17) 


607  (1) 


608  (2) 


610  (2) 

Extended Applications & Group Projects: Lotteries Statistics in Medical Research; Hypothesis Testing 


612  (3) 


615  (118) 


616  (1) 


617  (17) 

Continuous Functions: Limits at Infinity 


634  (14) 

Average and Instantaneous Rates of Change: The Derivative 


648  (17) 


665  (14) 

The Product Rule and the Quotient Rule 


679  (9) 

The Chain Rule and the Power Rule 


688  (9) 

Using Derivative Formulas 


697  (6) 


703  (8) 

Applications of Derivatives in Business and Economics 


711  (22) 


722  (1) 


723  (5) 


728  (2) 

Extended Applications & Group Projects: Marginal Return to Sales Tangent Lines and Optimization in Business and Economics 


730  (3) 

Applications of Derivatives 


733  (77) 


734  (1) 

Relative Maxima and Minima: Curve Sketching 


735  (17) 

Concavity: Points of Inflection 


752  (14) 

Optimization in Business and Economics 


766  (13) 







Applications of Maxima and Minima 


779  (9) 

Asymptotes: More Curve Sketching 


788  (22) 






801  (1) 


802  (4) 


806  (2) 

Extended Applications & Group Exercises: Production Management Room Pricing in the Off Season 


808  (2) 


810  (54) 


811  (1) 

Derivatives of Logarithmic Functions 


812  (9) 

Derivatives of Exponential Functions 


821  (9) 


830  (11) 


841  (7) 

Applications in Business and Economics 


848  (16) 



Taxation in a Competitive Market 




857  (1) 


858  (2) 


860  (2) 

Extended Applications & Group Projects: Inflation Knowledge Workers 


862  (2) 


864  (57) 


865  (1) 


866  (8) 


874  (12) 

Integrals Involving Exponential and Logarithmic Functions 


886  (9) 

Applications of the Indefinite Integral in Business and Economics 


895  (9) 



National Consumption and Savings 




904  (17) 

Solution of Differential Equations 



Separable Differential Equations 



Applications of Differential Equations 




915  (1) 


916  (2) 


918  (1) 

Extended Applications & Group Projects: Employee Production Rate Supply and Demand 


919  (2) 

Definite Integrals: Techniques of Integration 


921  (86) 


922  (1) 


923  (10) 

The Definite Integral: The Fundamental Theorem of Calculus 


933  (12) 


945  (11) 

Applications of Definite Integrals in Business and Economics 


956  (12) 

Continuous Income Streams 







Using Tables of Integrals 


968  (6) 


974  (6) 

Improper Integrals and Their Applications 


980  (9) 

Numerical Integration Methods: Trapezoidal Rule and Simpson's Rule 


989  (18) 


999  (2) 


1001  (2) 


1003  (2) 

Extended Applications & Group Projects: Retirement Planning Purchasing Electrical Power 


1005  (2) 

Functions of Two or More Variables 


1007  


1008  (1) 

Functions of Two or More Variables 


1009  (7) 


1016  (11) 

FirstOrder Partial Derivatives 



HigherOrder Partial Derivatives 



Applications of Functions of Two Variables in Business and Economics 


1027  (8) 

Joint Cost and Marginal Cost 








1035  (11) 



Maxima and Minima of Functions Subject to Constraints: Lagrange Multipliers 


1046  


1055  (1) 


1056  (2) 


1058  (2) 

Extended Applications & Group Projects: Advertising Competitive Pricing 


1060  


1  (1) 

Table I: Future Value of Ordinary Annuity of $1 (sni) 


1  (2) 

Table II: Present Value of an Ordinary Annuity of $1 (ani) 


3  (2) 

Table III: Areas Under the Standard Normal Curve 


5  
Answers 

1  (1) 
Index 

1  (6) 
Credits 

7  