Question: A surface (mathcal{S}) has a parametrization (Phi(u, v)) with rectangular domain (0 leq u leq 2,0 leq v leq 4) such that the following partial

A surface $\mathcal{S}$ has a parametrization $\Phi(u, v)$ with rectangular domain $0 \leq u \leq 2,0 \leq v \leq 4$ such that the following partial derivatives are constant:

\[
\frac{\partial \Phi}{\partial u}=\langle 2,0,1angle, \quad \frac{\partial \Phi}{\partial v}=\langle 4,0,3angle
\]

What is the surface area of $\mathcal{S}$ ?

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