The volume of the solid obtained by rotating the region bounded by y = x², y = 5x, about the line x = 5 can be computed using the method of washers via an integral b. v [ V = with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = ? with limits of integration a = and ß = In either case, the volume is V = cubic units. >

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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The volume of the solid obtained by rotating the region bounded by
y = x²,
y = 5x,
about the line x =
5 can be computed using the method of washers via an integral
b.
v [
V =
with limits of integration a =
and b =
The volume of this solid can also be computed using cylindrical shells via an integral
V =
?
with limits of integration a =
and ß =
In either case, the volume is V =
cubic units.
>
Transcribed Image Text:The volume of the solid obtained by rotating the region bounded by y = x², y = 5x, about the line x = 5 can be computed using the method of washers via an integral b. v [ V = with limits of integration a = and b = The volume of this solid can also be computed using cylindrical shells via an integral V = ? with limits of integration a = and ß = In either case, the volume is V = cubic units. >
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