Did i calculate this divergence theorem correclty?

wown
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Homework Statement


what is the divergence of <y,z,x>?


Homework Equations





The Attempt at a Solution



is the answer 0? seems too easy, lol, because the actual question is
"compute the surface integral for F dot prod dS over domain T where T is the unit sphere and F = <y,z,x>"

any thoughts? did i miss something? the next question is the same except F= <-y,-z,-x> and the answer is still 0, no?
 
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I think it's just as easy as you think it is.
 

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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