Solutions for CALCULUS,VOLUME 1 (OER)
Problem 60E:
Use the slicing method to derive the formula for the volume of a tetrahedron with side length a.Problem 62E:
Explain when yon would use the disk method versus the washer method. When are they interchangeable?Problem 63E:
For the following exercises, draw a typical slice and find the volume using the slicing method for...Problem 64E:
wwFor the following exercises, draw a typical slice and find the volume using the slicing method for...Problem 65E:
For the following exercises, draw a typical slice and find the volume using the slicing method for...Problem 66E:
For the following exercises, draw a typical slice and find the volume using the slicing method for...Problem 67E:
A cone of radius r and height h has a smaller cone of radius r/2 and height h/2 removed from the...Problem 68E:
For the following exercises, draw an outline of the solid and find the volume using the slicing...Problem 69E:
For the following exercises, draw an outline of the solid and find the volume using the slicing...Problem 70E:
For the following exercises, draw an outline of the solid and find the volume using the slicing...Problem 71E:
For the following exercises, draw an outline of the solid and find the volume using the slicing...Problem 72E:
For the following exercises, draw an outline of the solid and find the volume using the slicing...Problem 73E:
For the following exercises, draw an outline of the solid and find the volume using the slicing...Problem 74E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 75E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 76E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 77E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 78E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 79E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 80E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 81E:
For the following exercises, draw the region bounded by the curves. Then, use the disk method to...Problem 82E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 83E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 84E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 85E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 86E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 87E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 88E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 89E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 90E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 91E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 92E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 93E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 94E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 95E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 96E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 97E:
For the following exercises, draw the region bounded by the curves. Then, find the volume when the...Problem 98E:
For the following exercises, draw the region bounded by the curves. Then, use the washer method to...Problem 99E:
For the following exercises, draw the region bounded by the curves. Then, use the washer method to...Problem 100E:
For the following exercises, draw the region bounded by the curves. Then, use the washer method to...Problem 101E:
For the following exercises, draw the region bounded by the curves. Then, use the washer method to...Problem 102E:
For the following exercises, draw the region bounded by the curves. Then, use the washer method to...Problem 103E:
Yogurt containers can be shaped like frustums. Rotate the line y=1mx around the y-axis to find the...Problem 104E:
Rotate the ellipse (x2/a2)+(y2/b2)=1 around the x-axis to approximate the volume of a football, as...Problem 105E:
Rotate the ellipse (x2/a2)+(y2/b2)=1 around the y-axis to approximate the volume of a football.Problem 106E:
A better approximation of the volume of a football is given by the solid that comes from rotating...Problem 107E:
What is the volume of the Bundt cake that comes from rotating y=sinx around the y-axis from x=0 to...Problem 108E:
For the following exercises, find the volume of the solid described. 108. The base is the region...Problem 109E:
For the following exercises, find the volume of the solid described. 109. The base is the region...Problem 110E:
Bore a hole of radius a down the axis of a right cone and through the base of radius b, as seen...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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