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
to accompany


Calculus for Business,
Economics, and the
Social and Life Sciences
Tenth Edition, Brief

Laurence D. Hoffman
Smith Barney

Gerald L. Bradley
Claremon McKenna College




PreparedBbyBDevi
lynaBNicholsBPur
dueBUniversity

,[toBbeBsuppliedBbyBpublisher]

,CONTENTS




ChapterB1 Functions,BGraphs,BandBLimits 1
1.1 Functions 1
1.2 TheBGraphBofBaBFunction 6
1.3 LinearBFunctions 14
1.4 FunctionalBModels 19
1.5 Limits 26
1.6 One-SidedBLimitsBandBContinuity 30
CheckupBforBChapterB1 33
ReviewBProblems 36


ChapterB2BBB Differentiation:BBasicBConcepts 43
2.1 TheBDerivative 43
2.2 TechniquesBofB Differentiation 52
2.3 ProductBandBQuotientBRules;BHigher-OrderBDerivatives 57
2.4 TheBChainBRule 64
2.5 MarginalBAnalysis;BApproximationsBUsingBIncrements 72
2.6 ImplicitBDifferentiationBandBRelatedBRates 75
CheckupBforBChapterB2 82
ReviewBProblems 84


ChapterB3BBB AdditionalBApplicationsBofBtheBDerivative 93
3.1 IncreasingBandBDecreasingBFunctions;BRelativeBExtrema 93
3.2 ConcavityBandBPointsBofBInflection 103
3.3 CurveBSketching 114
3.4 Optimization 124
3.5 AdditionalBAppliedBOptimization 132
CheckupBforBChapterB3 141
ReviewBProblems 148


ChapterB4BBB ExponentialBandBLogarithmicBFunctions 159
4.1 ExponentialBFunctions 159
4.2 LogarithmicBFunctions 165
4.3 DifferentiationBofBLogarithmicBandBExponentialBFunctions 173
4.4 AdditionalBExponentialBModels 182
CheckupBforBChapterB4 199
ReviewBProblems 205
iii

, iv Contents




ChapterB5BBB Integration 219
5.1 Antidifferentiation;BtheBIndefiniteBIntegral 219
5.2 IntegrationBbyBSubstitution 226
5.3 TheBDefiniteBIntegralBandBtheBFundamentalBTheoremBofBCalculus 233
5.4 ApplyingBDefiniteBIntegration:BAreaBBetweenBCurvesBandBAverageBValue 238
5.5 AdditionalBApplicationsBtoBBusinessBandBEconomics 245
5.6 AdditionalBApplicationsBtoBtheBLifeBandBSocialBSciences 252
CheckupBforBChapterB5 259
ReviewBProblems 262

ChapterB6BBB AdditionalBTopicsBinBIntegration 273
6.1 IntegrationBbyBParts;BIntegralBTables 273
6.2 IntroductionBtoBDifferentialBEquations 284
6.3 ImproperBIntegrals;BContinuousBProbability 292
6.4 NumericalBIntegration 300
CheckupBforBChapterB6 307
ReviewBProblems 312

ChapterB7BBB CalculusBofBSeveralBVariables 325
7.1 FunctionsBofBSeveralBVariables 325
7.2 PartialBDerivatives 329
7.3 OptimizingBFunctionsBofBTwoBVariables 336
7.4 TheBMethodBofBLeastBSquares 346
7.5 ConstrainedBOptimization:BTheBMethodBofBLagrangeBMultipliers 353
7.6 DoubleBIntegrals 362
CheckupBforBChapterB7 371
ReviewBProblems 375