anonymous
  • anonymous
Find the volume: Under z =x^2+y^2 and above the region R={(x,y)| x^2+ y^2≤ 4} Please explain step by step.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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experimentX
  • experimentX
the graph is going to be 3d-parabolic we have to find the vertex first.
experimentX
  • experimentX
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experimentX
  • experimentX
looks like 0,0,0 is going to be vertex

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anonymous
  • anonymous
follow this !! www.physicsforums.com › ... › Calculus & Beyond
anonymous
  • anonymous
See a couple of solved example from my site http;//www.saab.org You can practice similar problems on http://moltest.missouri.edu/mucgi-bin/calculus.cgi Do not forget to like http;//www.saab.org on Facebook
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TuringTest
  • TuringTest
ok, right off the bat I'm thinking cylindrical coordinates
TuringTest
  • TuringTest
@Sillem do you know how to convert this into cylindrical coordinates?
TuringTest
  • TuringTest
If you convert this to cylindrical coordinates you will find that the region is bound by\[0\le\theta\le2\pi\]\[0\le r\le2\]and converting the equation we have for the parabaloid we get the bounds\[0\le z\le r^2\]remembering that \(dV=rdrd\theta dz\) in cylindrical coordinates we now just have to integrate\[\int\int\int dV\]along the prescribed bounds, and in an order that makes some kind of sense. I'll leave that final task to you.
TuringTest
  • TuringTest
having a problem? please tell me where

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