I need help with #3 Integration Problems with SolutionsAll work should be complete and neatly written. The graphs should be accurately drawn.1. Sketch and find the area defined by y = sinh x, y = e¯ª, x = 0, x = 22. Find the volume of the cap of a sphere of radius r and height h for h

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3. Find the volume generated when the region defined by y = x, y = 2x/(1+ x³) is revolved around the y axis.

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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I need help with #3

Integration Problems with Solutions
All work should be complete and neatly written. The graphs should be accurately drawn.
1. Sketch and find the area defined by y = sinh x, y = e¯ª, x = 0, x = 2
2. Find the volume of the cap of a sphere of radius r and height h for h <r.
3. Find the volume generated when the region defined by y = x, y = 2x/(1+ x³) is revolved
around the y axis.
4. A ladder, 10 meters long, is lying on the ground with a total mass of 80 kg. How much work
is required to keep one end fixed and raise the other straight above it?
5. Find the volume common to two circular cylinders, each of radius r, that intersect at right
angles.
1

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