(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

i have the region given as being bounded by x^{2}+y^{2}=4 and z=0 and z=3.

this problem asks to prove gauss divergence theorem for a given vectorF

2. Relevant equations

3. The attempt at a solution

As for the volume integral, i had no problem. But for the surface integral, how many surfaces are there actually? How are the normals represented?

I assumed it is a cylinder(Is it??).. and i got the normal vectors to the top surface and the bottom surfaces to bekand -krespectively. But these cancel out effectively. The problem here is i dont know how to represent any other surface, if any.. i really do not know to find the others. could you give me an idea on how to go about this ? i mean, finding the surfaces and limits..

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# Representing a region as limits of a volume integral

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