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Find parametric descriptions for the surface (Let x, Y, and be in terms of and such that 0 < U < 2T and 0 $ v < 8.)paraboloid 2 = x2 _for 0 < 2 < 64r...

Question

Find parametric descriptions for the surface (Let x, Y, and be in terms of and such that 0 < U < 2T and 0 $ v < 8.)paraboloid 2 = x2 _for 0 < 2 < 64r(u, v)

Find parametric descriptions for the surface (Let x, Y, and be in terms of and such that 0 < U < 2T and 0 $ v < 8.) paraboloid 2 = x2 _ for 0 < 2 < 64 r(u, v)



Answers


Identify the surface Describe the surface with the given parametric representation. $$\mathbf{r}(u, v)=\langle u, u+v, 2-u-v\rangle, \text { for } 0 \leq u \leq 2,0 \leq v \leq 2$$

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