(Steps Shown) Use the Divergence Theorem to compute the surface integral ∫_T F • d S where T is the unit sphere x^2+y^2+z^2=1 and F(x, y, z)=
Question: Use the Divergence Theorem to compute the surface integral \(\iint_{T} \vec{F} \cdot \mathrm{d} \vec{S}\) where \(T\) is the unit sphere \(x^{2}+y^{2}+z^{2}=1\) and \(\vec{F}(x, y, z)=\langle y, z, x\rangle\).
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