Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface. (mathbf{F}=leftlangle x, y, e^{z}ightangle), cylinder (x^{2}+y^{2}=4,1
Question:
Compute \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given oriented surface.
\(\mathbf{F}=\left\langle x, y, e^{z}ightangle\), cylinder \(x^{2}+y^{2}=4,1 \leq z \leq 5\), outward-pointing normal
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We parametrize the surface by Phitheta z2 cos theta 2 sin theta z where the parameter dom...View the full answer
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