anonymous
  • anonymous
Consider the given curves to do the following. x=4sqrt(y) x = 0 y = 1 Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about the x-axis.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Draw a diagram to visualize the problem.
anonymous
  • anonymous
i put it so that its in x terms. so its y = (x^2)/16. am i able to do that?
anonymous
  • anonymous
Yes you can

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anonymous
  • anonymous
\[2\pi \int\limits_{0}^{1}y(4y^(1/2))dy\]
anonymous
  • anonymous
sorry its suppose to be 4y^1/2
anonymous
  • anonymous
is that set up correctly?
anonymous
  • anonymous
Let me calculate.
anonymous
  • anonymous
Sorry, had to take a call. This has a little space between the function and x axis.
anonymous
  • anonymous
its okay. and yeah it does
anonymous
  • anonymous
How did you determine the boundary of 1?
anonymous
  • anonymous
o, oops i think i got it confused for the y=0
anonymous
  • anonymous
how do you determine the boundary for this integral?
anonymous
  • anonymous
o wait sorry
anonymous
  • anonymous
If given freedom you would use washer technique. Instructions call for cylindrical shells, I think, check on this\[\int\limits_{0}^{4}2\pi(1-4\sqrt{y})4\sqrt{y}\]

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