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## Homework Statement

Find the area of the surface cut from the paraboloid z=2x

^{2}+2y

^{2}by the planes z=2 and z=8.

## Homework Equations

Surface area of S= ∫∫ ||T

_{s}×T

_{t}|| 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,√(2s

^{2}+2t

^{2})) but I am not sure. Also, I wouldn't know how the planes cutting the paraboloid would come into play.