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Divergence theorem

  • Thread starter jaejoon89
  • Start date
  • #1
195
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Given F = xyz i + (y^2 + 1) j + z^3 k
Let S be the surface of the unit cube 0 ≤ x, y, z ≤ 1. Evaluate the surface integral ∫∫(∇xF).n dS using
a) the divergence theorem
b) using Stokes' theorem


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Since the divergence theorem involves a dot product rather than a curl,how would it apply in this problem (which asks for the curl)?
 

Answers and Replies

  • #2
674
2
You would treat [tex]\nabla \times F[/tex] as a new vector, and just use it in the divergence theorem.
 
  • #3
dx
Homework Helper
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Hi jaejoon89,

You already posted this question, and someone has replied to it. If you have any further questions, use the same thread.
 

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