Verify Gauss's Divergence Theorem by evaluating each side of the equation in the theorem. Here,

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Verify Gauss's Divergence Theorem by evaluating each side of the equation in the theorem. Here,

Gauss's Divergence Theorem

Here, \(\vec{F}=y \vec{\imath}-x \vec{\jmath}\), and \(S\) is the hemisphere \(x^{2}+y^{2}+z^{2}=9, z \geq 0\), with boundary \(\gamma: x^{2}+y^{2}=9, z=0\)

State the Divergence Theorem in its entirety.
Sketch the surface S and curve, γ
Explain in detail how all the conditions of the hypothesis of the theorem are satisfied
Show all work using proper notation throughout your solutions. Simplify your answers completely

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Verify Gauss's Divergence Theorem by evaluating each side of the equation in the theorem. Here,

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