ghdoru11
  • ghdoru11
find the volume of D: x^2+y^2<=2z , 0<=z<=2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
|dw:1378497975425:dw|
anonymous
  • anonymous
|dw:1378498094597:dw| Hopefully it makes sense what the region looks like. Tough to draw.
anonymous
  • anonymous
Anyway, you have \[D:=\left\{(x,y,z)~:-2\le x\le2,~-2\le y\le2,~0\le z\le2~\right\}\] So the volume is given by \[V=\int\int\int_DdV\\ V=\int_{-2}^2\int_{-2}^2\int_0^2dz~dy~dx\]

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anonymous
  • anonymous
Does that looks about right @jdoe0001 ?
jdoe0001
  • jdoe0001
haven't covered that yet, so can't say, great graph though :)
anonymous
  • anonymous
Thanks :D
ghdoru11
  • ghdoru11
thanks
anonymous
  • anonymous
you're welcome!

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