Complete Solutions Manual for Calculus for Business, Economics, and the Social & Life Sciences, 10th Edition (Hoffman & Bradley) - Verified Answers for All Chapters 1-7

Student Solutions Manual
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to accompany
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Calculus for Business, Ec
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onomics, and the Social a
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nd Life Sciences
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Tenth Edition, Brief g g




Laurence D. Hoffman g g


SmithgBarney

Gerald L. Bradley g g


ClaremongMcKennagCollege




PreparedgbygDevil
ynagNicholsgPurd
uegUniversity

,[togbegsuppliedgbygpublisher]

,CONTENTS




Chapterg1 Functions,gGraphs,gandgLimits 1
1.1 Functions 1
1.2 ThegGraphgofgagFunction 6
1.3 LineargFunctions 14
1.4 FunctionalgModels 19
1.5 Limits 26
1.6 One-SidedgLimitsgandgContinuity 30
CheckupgforgChapterg1 33
ReviewgProblems 36


Chapterg2ggg Differentiation:gBasicgConcepts 43
2.1 ThegDerivative 43
2.2 Techniquesgofg Differentiation 52
2.3 ProductgandgQuotientgRules;gHigher-OrdergDerivatives 57
2.4 ThegChaingRule 64
2.5 MarginalgAnalysis;gApproximationsgUsinggIncrements 72
2.6 ImplicitgDifferentiationgandgRelatedgRates 75
CheckupgforgChapterg2 82
ReviewgProblems 84


Chapterg3ggg AdditionalgApplicationsgofgthegDerivative 93
3.1 IncreasinggandgDecreasinggFunctions;gRelativegExtrema 93
3.2 ConcavitygandgPointsgofgInflection 103
3.3 CurvegSketching 114
3.4 Optimization 124
3.5 AdditionalgAppliedgOptimization 132
CheckupgforgChapterg3 141
ReviewgProblems 148


Chapterg4ggg ExponentialgandgLogarithmicgFunctions 159
4.1 ExponentialgFunctions 159
4.2 LogarithmicgFunctions 165
4.3 DifferentiationgofgLogarithmicgandgExponentialgFunctions 173
4.4 AdditionalgExponentialgModels 182
CheckupgforgChapterg4 199
ReviewgProblems 205
iii

, iv Contents




Chapterg5ggg Integration 219
5.1 Antidifferentiation;gthegIndefinitegIntegral 219
5.2 IntegrationgbygSubstitution 226
5.3 ThegDefinitegIntegralgandgthegFundamentalgTheoremgofgCalculus 233
5.4 ApplyinggDefinitegIntegration:gAreagBetweengCurvesgandgAveragegValue 238
5.5 AdditionalgApplicationsgtogBusinessgandgEconomics 245
5.6 AdditionalgApplicationsgtogthegLifegandgSocialgSciences 252
CheckupgforgChapterg5 259
ReviewgProblems 262

Chapterg6ggg AdditionalgTopicsgingIntegration 273
6.1 IntegrationgbygParts;gIntegralgTables 273
6.2 IntroductiongtogDifferentialgEquations 284
6.3 ImpropergIntegrals;gContinuousgProbability 292
6.4 NumericalgIntegration 300
CheckupgforgChapterg6 307
ReviewgProblems 312

Chapterg7ggg CalculusgofgSeveralgVariables 325
7.1 FunctionsgofgSeveralgVariables 325
7.2 PartialgDerivatives 329
7.3 OptimizinggFunctionsgofgTwogVariables 336
7.4 ThegMethodgofgLeastgSquares 346
7.5 ConstrainedgOptimization:gThegMethodgofgLagrangegMultipliers 353
7.6 DoublegIntegrals 362
CheckupgforgChapterg7 371
ReviewgProblems 375