4. Consider the region in the first quadrant bounded between the x-axis, the y-axis, and the curve VI + vỹ = 1. Calculate the volume of the solid of revolution obtained by rotating this region around the line x = 3. Do this in two different ways: (a) ...integrating with respect to x. (b) ...integrating with respect to y Answer: 147/15.

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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4. Consider the region in the first quadrant bounded between the -axis, the y-axis, and the curve
VI + Vy = 1. Calculate the volume of the solid of revolution obtained by rotating this region
around the line x = 3. Do this in two different ways:
%3D
(a) ...integrating with respect to x.
(b) ...integrating with respect to y
Answer: 147/15.
Transcribed Image Text:4. Consider the region in the first quadrant bounded between the -axis, the y-axis, and the curve VI + Vy = 1. Calculate the volume of the solid of revolution obtained by rotating this region around the line x = 3. Do this in two different ways: %3D (a) ...integrating with respect to x. (b) ...integrating with respect to y Answer: 147/15.
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