Use both the Shell and Disk Methods to calculate the volume of the solid obtained by rotating the region under the graph of f(x) = 2x³ for 0≤x≤ 2 about the x-axis and the y-axis. Using the disk method, the volume D₂ of the solid obtained by rotating the region about the x-axis is fog(x) dx (this is the initial integral when you setup the problem), where a = g(x)= D₂= Using the shell method, the volume S₂ of the solid obtained by rotating the region about the x-axis is foh(y)dy (this is the initial integral when you setup the problem), where b= h(y)= S₂= Using the disk method, the volume Dy of the solid obtained by rotating the region about the y-axis is G(y)dy (this is the initial integral when you setup the problem), where A = G(y)= Dy= Using the shell method, the volume Sy of the solid obtained by rotating the region about the y-axis is H(x)dx (this is the initial integral when you setup the problem), where B= H(x)= Sy=
Use both the Shell and Disk Methods to calculate the volume of the solid obtained by rotating the region under the graph of f(x) = 2x³ for 0≤x≤ 2 about the x-axis and the y-axis. Using the disk method, the volume D₂ of the solid obtained by rotating the region about the x-axis is fog(x) dx (this is the initial integral when you setup the problem), where a = g(x)= D₂= Using the shell method, the volume S₂ of the solid obtained by rotating the region about the x-axis is foh(y)dy (this is the initial integral when you setup the problem), where b= h(y)= S₂= Using the disk method, the volume Dy of the solid obtained by rotating the region about the y-axis is G(y)dy (this is the initial integral when you setup the problem), where A = G(y)= Dy= Using the shell method, the volume Sy of the solid obtained by rotating the region about the y-axis is H(x)dx (this is the initial integral when you setup the problem), where B= H(x)= Sy=
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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