Help in proof (Green's Theorem)

come2ershad
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Homework Statement



I have a doubt in proving the attached theorem. I have found that divergence theorem can be applied. However I am not able to arrive at the exact equation.

Homework Equations



Attached

The Attempt at a Solution



Derived the LHS. Couldn't proceed from there.
 
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I consider u to be u1 i + u2 j and found the divergence. How to proceed from there?
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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