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Multivariable Calculus

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Moderate

Calculate the Length of the Normal Vector

MVCALC-T2LKGK

Calculate the length of the normal vector (as a function of the parameters) of the surface given by $\vec{G}(u,v) = ( \cos uv, \sin uv, e^{u+v} )$ for $0 \leq u \leq 2\pi$ and $0 \leq v \leq 1$.

A

$(v+u)e^{u+v}$

B

$(v-u)e^{u+v}$

C

$|v-u|e^{u+v}$

D

$(v-u)^2 e^{2(u+v)}$

E

$(v+u)^2 e^{2(u+v)}$