Calculus help me please

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gngtrnhqerl

Mathematics

Description

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.

y = sqrt x,      y = 0,     x = 1;    about x = −4

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Explanation & Answer

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the intersection (0, 0), (1,5) 

V = integrate 2pi*(1-x)*ydx from 0 to 1

2pi*(1-x)*5sqrt(x) dx 

=10pi*(2/3-2/5) = 20*pi*2/15 

=8/3*pi  


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