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Mathematics 20 Online
OpenStudy (idealist10):

Use polar coordinates to find the volume of the solid where T is the region that lies below the paraboloid z=x^2+y^2, above the xy-plane, and inside the cylinder x^2+y^2=4.

OpenStudy (idealist10):

@Loser66

OpenStudy (loser66):

oh, let @pitamar help :)

OpenStudy (anonymous):

@Loser66 Oh come on, I came to see you helping =)

ganeshie8 (ganeshie8):

how are you stuck on this @Idealist10 ?

OpenStudy (idealist10):

I don't know how to find the limits of integration.

ganeshie8 (ganeshie8):

|dw:1424030101842:dw|

ganeshie8 (ganeshie8):

You want to find the volume below that paraboloid and above xy plane Bounds are given to you with the cylinder specification : x^2 + y^2 <= 4

ganeshie8 (ganeshie8):

what are the bounds for \(r\) and \(\theta\) for a disk of radius \(2\) centered at origin ?

OpenStudy (idealist10):

-2 to 2 for r?

ganeshie8 (ganeshie8):

|dw:1424030306859:dw|

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