Divergence theorm example for 28 Nov 12:00

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Homework Statement



Hi. I think it will be easiest to understand if I upload a word document as it has some complicated characters. The bold letters stand for vectors.

http://www.sendspace.pl/file/1f830d4ff025d966f71b62c

Homework Equations



Divergence theorm

http://www.math.oregonstate.edu/hom...ulusQuestStudyGuides/vcalc/diverg/diverg.html

The Attempt at a Solution



I tried to change the form of the those two equations to the form stated in divergence theorm and then to compare the u (or F as in link above), but the u (F) on the left hand side is never equal to this on the right.
 
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Unfortunately, I am not able to open your links because I "do not have the correct plug in". And most people are very wary of opening links or, certainly, down loading plug ins from unknown sites.
 
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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