Question

Verify the divergence theorem when S is the closed surface formed by sectioning off the cylinder...

Verify the divergence theorem when S is the closed surface formed by sectioning off the cylinder x2 + y2 = 1 with the planes z = 0 and z = 1 and ⃗ F = xy⃗ j + yz⃗ k.

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Answer #1

here i at first find the surface integral by using Gauss divergence theorems. But when i want to find surface integrale simply without using divergence theorem I see that the second integration that is double integration of yz with respect to dxdy can not possible as we can not substitute z from the following curve x^2+y^2=1, z=0 to z=1 .

So i think the given function F is wrong.

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