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Multivariable & Vectormedium
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Find the surface area of the parametric surface r(u,v)=⟨2u,2v,u2+v2⟩\mathbf{r}(u,v) = \langle 2u, 2v, u^2 + v^2 \rangler(u,v)=⟨2u,2v,u2+v2⟩ over the region u2+v2≤1u^2 + v^2 \leq 1u2+v2≤1 using polar coordinates.