Find the area of the surface cut from the paraboloid z=2x2+2y2 by the planes z=2 and z=8.
Surface area of S= ∫∫ ||Ts×Tt|| ds dt
The Attempt at a Solution
What I am really having trouble doing in this problem (and in general) is parameterizing the surface in terms of s and t. I think for this surface an accurate parameterization is (s,t,√(2s2+2t2)) but I am not sure. Also, I wouldn't know how the planes cutting the paraboloid would come into play.