Verify the divergence theorem by evaluating both the surface and the volume integrals for the region bounded by [tex]x^2+y^2=a^2[/tex] and [tex]z=h[/tex] for the vector field:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\mathbf{F}=(x,y,z)[/tex]

For the volume integral, it's easy. Since divF =3, it's just [tex]3\pi a^2h[/tex]. However, for the surface integral, I divided it into 3 parts. The top and bottom discs, and the side of the cylinder. It's the side that I'm having trouble with:

[tex]F*N=\sqrt{x^2+y^2}[/tex], but how should the parameters vary?

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# Homework Help: Gauss's Theorem problem

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