Compute (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) for the given oriented surface or parametrized surface. (mathbf{F}(x, y, z)=langle
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Compute \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) for the given oriented surface or parametrized surface.
\(\mathbf{F}(x, y, z)=\langle 0,0, zangle, \quad 3 x^{2}+2 y^{2}+z^{2}=1, \quad z \geq 0\), upward-pointing normal
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solution We use modified spherical coordinates to parametrize the ellipsoid Phitheta phileftfrac1sqrt3 cos theta sin phi frac1sqrt2 sin theta sin phi ...View the full answer
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