[Solved] Let F be the vector field < 2 y+3 z, e^z, x+y> and S the ellipsoid fracx^22+ fracy^22+z^2=1. Find ∫_S ∇ * F d


Question: (2 points) Let \(\mathrm{F}\) be the vector field \(\left\langle 2 y+3 z, e^{z}, x+y\right\rangle\) and \(S\) the ellipsoid \(\frac{x^{2}}{2}+\) \(\frac{y^{2}}{2}+z^{2}=1\). Find

\[\iint_{S} \nabla \times \mathbf{F} d \mathbf{S}\]

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