Answered: Set up the integral that uses the…

Set up the integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about x = 3. y = 5x*, y = 0, X = 2

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter8: Further Techniques And Applications Of Integration

Section8.3: Volume And Average Value

Problem 18E

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Question

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Set up the integral that uses the method of cylindrical shells to find the volume V of the solid obtained by rotating the
region bounded by the given curves about x = 3.
y = 5x*, y = 0,
X = 2
2
2ar(3 – 5x4)
V =
dx

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