Solutions for CALCULUS,VOLUME 1 (OER)
Problem 439RE:
True or False. Justify your answer with a proof or a counterexample. Assume all functions f and g...Problem 440RE:
True or False. Justify your answer with a proof or a counterexample. Assume all functions f and g...Problem 441RE:
True or False. Justify your answer with a proof or a counterexample. Assume all functions f and g...Problem 442RE:
All continuous functions have antiderivative. Evaluate the Riemann sums L4 and R4 for the following...Problem 443RE:
y=3x22x+1 over [1,1]Problem 444RE:
y=In(x2+1) over [0,e]Problem 445RE:
y=x2sinx over [0,]Problem 446RE:
y=x+1x over [1,4]Problem 447RE:
Evaluate the following integrals. 447. 11(x32x2+4x)dxProblem 448RE:
Evaluate the following integrals. 448. 043t 1+6t2 dtProblem 449RE:
Evaluate the following integrals. 449. /3/22sec(2)tan(2)dProblem 450RE:
Evaluate the following integrals. 450. 0/4ecos 2 xsinxcosdxy ^r/4 2 £'C°!' TsinxcosdrProblem 451RE:
Find the antiderivative. 451. dx ( x+4 )3Problem 452RE:
Find the antiderivative. 452. xIn(x2)dxProblem 453RE:
Find the antiderivative. 453. 4x2 1x6 dxProblem 454RE:
Find the antiderivative. 454. e 2x1+e 4xdxProblem 455RE:
Find the derivative. 455. ddt0tsinx 1+x2 dxProblem 456RE:
Find the derivative 456. ddx1x34t2dtProblem 457RE:
Find the derivative. 457. ddx1In(x)(4t+et)dtProblem 458RE:
Find the derivative. 458. ddx0cosxet2dtProblem 459RE:
The following problems consider the historic average cost per gigabyte of RAM on a computer. Year...Problem 460RE:
The following problems consider the historic average cost per gigabyte of RAM on a computer. Year...Problem 461RE:
The following problems consider the historic average cost per gigabyte of RAM on a computer. Year...Browse All Chapters of This Textbook
Chapter 1 - Functions And GraphsChapter 1.1 - Review Of FunctionsChapter 1.2 - Basic Classes Of FunctionsChapter 1.3 - Trigonometric FunctionsChapter 1.4 - Inverse FunctionsChapter 1.5 - Exponential And Logarithmic FunctionsChapter 2 - LimitsChapter 2.1 - A Preview Of CalculusChapter 2.2 - The Limit Of A FunctionChapter 2.3 - The Limit Laws
Chapter 2.4 - ContinuityChapter 2.5 - The Precise Definition Of A LimitChapter 3 - DerivativesChapter 3.1 - Defining The DerivativeChapter 3.2 - The Derivative As A FunctionChapter 3.3 - Differentiation RulesChapter 3.4 - Derivatives As Rates Of ChangeChapter 3.5 - Derivatives Of Trigonometric FunctionsChapter 3.6 - The Chain RuleChapter 3.7 - Derivatives Of Inverse FunctionsChapter 3.8 - Implicit DifferentiationChapter 3.9 - Derivatives Of Exponential And Logarithmic FunctionsChapter 4 - Applications Of DerivativesChapter 4.1 - Related RatesChapter 4.2 - Linear Approximations And DifferentialsChapter 4.3 - Maxima And MinimaChapter 4.4 - The Mean Value TheoremChapter 4.5 - Derivatives And The Shape Of A GraphChapter 4.6 - Limits At Infinity And AsymptotesChapter 4.7 - Applied Optimization ProblemsChapter 4.8 - L'hopitars RuleChapter 4.9 - Newton's MethodChapter 4.10 - AntiderivativesChapter 5 - IntegrationChapter 5.1 - Approximating AreasChapter 5.2 - The Definite IntegralChapter 5.3 - The Fundamental Theorem Of CalculusChapter 5.4 - Integration Formulas And The Net Change TheoremChapter 5.5 - SubstitutionChapter 5.6 - Integrals Involving Exponential And Logarithmic FunctionsChapter 5.7 - Integrals Resulting In Inverse Trigonometric FunctionsChapter 6 - Applications Of IntegrationChapter 6.1 - Areas Between CurvesChapter 6.2 - Determining Volumes By SlicingChapter 6.3 - Volumes Of Revolution: Cylindrical ShellsChapter 6.4 - Arc Length Of A Curve And Surface AreaChapter 6.5 - Physical ApplicationsChapter 6.6 - Moments And Centers Of MassChapter 6.7 - Integrals, Exponential Functions, And LogarithmsChapter 6.8 - Exponential Growth And DecayChapter 6.9 - Calculus Of The Hyperbolic Functions
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