bounded by the paraboloid z=4x^2+4y^2 and the plane z=a (a>0) if S has constant density K.
I just need someone to explain to me how to set up the integral using cylindral coordinates.
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We first note that . To find using cylindrical coordinates, we let
Our paraboloid equation becomes
and the equation of intersection of the paraboloid with the plane becomes
Our integral becomes
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