CALCULUS, VOLUME 1 (OER)17th EditionOpenStax Publisher: XANEDU CISBN: 2810022307715
CALCULUS, VOLUME 1 (OER)
Solutions for CALCULUS,VOLUME 1 (OER)
Problem 47E:
Determine the necessary conditions such that the linear approximation function is constant. Use a...Problem 48E:
Explain why the linear approximation becomes less accurate as you increase the distance between x...Problem 49E:
When is the linear approximation exact?Problem 50E:
For the following exercises, find the linear approximation L(x) to y = f(x) near x = a for the...Problem 51E:
]For the following exercises, find the linear approximation L(x) to y = f(x) near x = a for the...Problem 52E:
For the following exercises, find the linear approximation L(x) to y = f(x) near x = a for the...Problem 53E:
For the following exercises, find the linear approximation L(x) to y = f(x) near x = a for the...Problem 54E:
For the following exercises, find he linear approximation L(x) to y = f(x) near x = a for the...Problem 55E:
For the following exercises, find the linear approximation L(x) to y = f(x) near x = a for the...Problem 56E:
For the following exercises, compute the values given within 0.01 by deciding on the appropriate...Problem 57E:
For the following exercises, compute the values given within 0.01 by deciding on the appropriate...Problem 58E:
For the following exercises, compute the values given within 0.01 by deciding on the appropriate...Problem 59E:
For the following exercises, compute the values given within 0.01 by deciding on the appropriate...Problem 60E:
For the following exercises, compute the values given within 0.01 by deciding on the appropriate...Problem 61E:
For the following exercises, compute the values given within 0.01 by deciding on the appropriate...Problem 62E:
For the following exercises, determine the appropriate f(x) and a, and evaluate L(x)=f(a)+f(a)(xa)....Problem 63E:
For the following exercises, determine the appropriate f(x) and a, and evaluate L(x)=f(a)+f(a)(xa)....Problem 64E:
For the following exercises, determine the appropriate f(x) and a, and evaluate L(x)=f(a)+f(a)(xa)....Problem 65E:
For the following exercises, determine the appropriate f(x) and a, and evaluate L(x)=f(a)+f(a)(xa)....Problem 66E:
For the following exercises, determine the appropriate f(x) and a, and evaluate L(x)=f(a)+f(a)(xa)....Problem 67E:
For the following exercises, determine the appropriate f(x) and a, and evaluate L(x)=f(a)+f(a)(xa)....Problem 72E:
For the following exercises, find the differential and evaluate for the given x and dx. 72....Problem 73E:
For the following exercises, find the differential and evaluate for the given x and dx. 73....Problem 74E:
For the following exercises, find the differential and evaluate for the given x and dx. 74....Problem 75E:
For the following exercises, find the differential and evaluate for the given x and dx. 75....Problem 76E:
For the following exercises, find the differential and evaluate for the given x and dx. 76....Problem 77E:
For the following exercises, find the differential and evaluate for the given x and dx. 77....Problem 78E:
For the following exercises, find the change in volume dV or in surface area dA. 78. dV if the sides...Problem 79E:
For the following exercises, find the change in volume dV or in surface area dA. 79. dA if the sides...Problem 80E:
For the following exercises, find the change in volume dV or in surface area dA. 80. dA if the...Problem 81E:
For the following exercises, find the change in volume dV or in surface area dA. 81. dV if the...Problem 82E:
For the following exercises, find the change in volume dV or in surface area dA. 82. dV if a...Problem 83E:
For the following exercises, find the change in volume dV or in surface area dA. 83. dV if a...Problem 84E:
For the following exercises, use differentials to estimate the maximum and relative error when...Problem 85E:
For the following exercises, use differentials to estimate the maximum and relative error when...Problem 86E:
For the following exercises, use differentials to estimate the maximum and relative error when...Problem 87E:
For the following exercises, confirm the approximations by using the linear approximation at x = 0....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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