A surface (mathcal{S}) has a parametrization (Phi(u, v)) with rectangular domain (0 leq u leq 2,0 leq
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 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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