Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume obtained by rotating R about the x- axis. Express the volume as an integral of the form V = S% f(x) dx, a < b. a = b = f(x) = Evaluate this integral to find the volume in question. Give your answer in terms of T. Volume

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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Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume obtained by rotating R about the x-
axis. Express the volume as an integral of the form V =
S% f(x) dx, a < b.
a =
b =
f(x) =
Evaluate this integral to find the volume in question. Give your answer in terms of T.
Volume
Transcribed Image Text:Let R be the finite region enclosed by the curve y = 6x(3 – 2x) and the x-axis. Let V be the volume obtained by rotating R about the x- axis. Express the volume as an integral of the form V = S% f(x) dx, a < b. a = b = f(x) = Evaluate this integral to find the volume in question. Give your answer in terms of T. Volume
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