10x? Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = and y = 0. (a) A typical shell has radius x, circumference 27Tx, and height f(x) (b) So, by the shell method, the volume is ra V = dx and a = (c) Evaluate the integral: V %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² – x
and y =
3
%3D
0.
(a) A typical shell has radius x, circumference 2Tx,
and height f(x)
(b) So, by the shell method, the volume is
a
V =
dx
and a =
(c) Evaluate the integral: V =
Transcribed Image Text:Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² – x and y = 3 %3D 0. (a) A typical shell has radius x, circumference 2Tx, and height f(x) (b) So, by the shell method, the volume is a V = dx and a = (c) Evaluate the integral: V =
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