Solution: Identify the surface Describe the surface with the

Chapter 11, Problem 18E

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QUESTION:

Describe the surface with the given parametric representation.

\(\mathbf{r}(u, v)=\langle u, u+v, 2-u-v\rangle\), for \(0 \leq u \leq 2,0 \leq v \leq 2\)

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QUESTION:

Describe the surface with the given parametric representation.

\(\mathbf{r}(u, v)=\langle u, u+v, 2-u-v\rangle\), for \(0 \leq u \leq 2,0 \leq v \leq 2\)

ANSWER:

Solution 18EStep 1:Given thatr(u, v) = u, u + v, 2 u v, for 0 u 2, 0 v 2

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