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) = 4 – x³ for 0 < x < 45 about the x-axis and the y-axis. Using the disk method, the volume D, of the solid obtained by rotating the region about the x-axis is " g(x)dx (this is the initial integral when you setup the problem), where a = g(x)= Using the shell method, the volume S, of the solid obtained by rotating the region about the x-axis is ° h(y)dy (this is the initial integral when you setup the problem), where b= h(y)= Sz= 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 G(y)= D,= Using the shell method, the volume S, 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= Нx)- S,=

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) = 4 – x³ for 0 < x < 45 about the x-axis and the y-axis. Using the disk method, the volume D, of the solid obtained by rotating the region about the x-axis is " g(x)dx (this is the initial integral when you setup the problem), where a = g(x)= Using the shell method, the volume S, of the solid obtained by rotating the region about the x-axis is ° h(y)dy (this is the initial integral when you setup the problem), where b= h(y)= Sz= 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 G(y)= D,= Using the shell method, the volume S, 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= Нx)- S,=

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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