Student Solutions Manual to accompany Calculus for Business, Economics, and the Social and Life Sciences Tenth Edition, Brief Laurence D. Hoffman Smith Barney Gerald L. Bradley

Student Solutions Manual
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to accompany
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Calculus for Business, c c




Economics, and the
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c Social and Life Sciences
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TenthEdition,Brief c c




LaurenceD.Hoffman c c




Smith Barney c




Gerald L. Bradley c c




ClaremonMcKennaCollege c c




Prepared by c




Devilyna Nichols
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c PurdueUniversity c

,[to be supplied by publisher]
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,CONTENTS




Chapter 1 c Functions, Graphs, and Limits c c c 1
1.1 Functions 1
1.2 The Graph of a Function
c 6 c c c




1.3 Linear Functions
c 14
1.4 Functional Models 19 c




1.5 Limits 26
1.6 One-Sided Limits and Continuity c c c 30
Checkup for Chapter 1 c 33 c c




Review Problemsc 36


Chapter 2 Differentiation: Basic Concepts
c cc c 43 c c




2.1 The Derivative c 43
2.2 Techniques of Differentiation 52 c c




2.3 Product and Quotient Rules; Higher-Order Derivatives
c c c c c 57
2.4 The Chain Rule c 64 c




2.5 Marginal Analysis; Approximations Using Increments
c c c c 72
2.6 Implicit Differentiation and Related Rates
c 75 c c c




Checkup for Chapter 2 82 c c c




Review Problems 84 c




Chapter 3 Additional Applications of the Derivative
c cc c 93c c c c




3.1 Increasing and Decreasing Functions; Relative Extrema
c c c c c 93
3.2 Concavity and Points of Inflection 103 c c c c




3.3 Curve Sketching 114
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3.4 Optimization 124
3.5 Additional Applied Optimization 132 c c




Checkup for Chapter 3 141 c c c




Review Problems 148 c




Chapter 4 Exponential and Logarithmic Functions
c cc c 159 c c c




4.1 Exponential Functions 159 c




4.2 Logarithmic Functions 165 c




4.3 Differentiation of Logarithmic and Exponential Functions c c c c c 173
4.4 Additional Exponential Models 182 c c




Checkup for Chapter 4 199 c c c




Review Problems 205 c




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, iv Contents




Chapter 5 Integration
c cc c 219
5.1 Antidifferentiation; the Indefinite Integral 219 c c c




5.2 Integration by Substitution 226 c c




5.3 The Definite Integral and the Fundamental Theorem of Calculus
c c 233 c c c c c c




5.4 Applying Definite Integration: Area Between Curves and Average Value
c c c c c c c c 238
5.5 Additional Applications to Business and Economics
c 245 c c c c




5.6 Additional Applications to the Life and Social Sciences
c 252 c c c c c c




Checkup for Chapter 5 259
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Review Problems c262

Chapter 6 Additional Topics in Integration
c cc c 273 c c c




6.1 Integration by Parts; Integral Tables 273 c c c c




6.2 Introduction to Differential Equations 284 c c c




6.3 Improper Integrals; Continuous Probability
c 292 c c




6.4 Numerical Integration 300 c




Checkup for Chapter 6 307
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Review Problems c 312

Chapter 7 Calculus of Several Variables
c cc c c 325 c c




7.1 Functions of Several Variables 325 c c c




7.2 Partial Derivatives
c 329
7.3 Optimizing Functions of Two Variables 336 c c c c




7.4 The Method of Least Squares
c 346 c c c




7.5 Constrained Optimization: The Method of Lagrange Multipliers
c c c c c c 353
7.6 Double Integrals c 362
Checkup for Chapter 7 371c c c




Review Problems 375
c