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(Solved): Compute the differential of surface area for the surface \( S \) described by the given parametriza ...
Compute the differential of surface area for the surface \( S \) described by the given parametrization. \[ \left.\vec{r}(u, v)=\left\{e^{u} \cos (v), e^{u} \sin (v), u v\right), D=\{(u, v)] 0 \leq u \leq 4,0 \leq v \leq 2 \pi\right\} \]
Expert Answer
Solution :- We have r(u,v)={eucos?(v),eusin?(v),uv} now differentiate it with respect