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Divergence ( Calc III )

  1. Dec 11, 2011 #1
    1. The problem statement, all variables and given/known data

    Use the Divergence Theorem to evaluate ∫∫S (8x + 10y + z2)dS where S is the sphere x2 + y2 + z2 = 1.


    2. Relevant equations

    ∫∫S F dS = ∫∫∫B Div(F) dV

    3. The attempt at a solution

    I dunno, this isn't a vector field so I don't know how to take the divergence of it so I can integrate..
     
  2. jcsd
  3. Dec 11, 2011 #2

    LCKurtz

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    Use the X2 button above the advanced editing box for superscripts. Are you certain you have transcribed the problem correctly?
     
  4. Dec 12, 2011 #3
    Yeah, I'm sure.
    have you ever seen something like this?
     
  5. Dec 12, 2011 #4

    LCKurtz

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    As it is written it is just a scalar surface integral which makes sense and can be evaluated. The reason I asked is your relevant equation: ∫∫S F dS = ∫∫∫B Div(F) dV isn't written correctly; it should be [itex]\iint_S \vec F \cdot d\vec S[/itex] on the left. I just wondered if your original problem was mistranscribed. But, no, your original problem wouldn't have anything to do with the divergence theorem as it is written.
     
    Last edited: Dec 12, 2011
  6. Dec 12, 2011 #5
    Which is why it makes me curious that they asked me to use the divergence theorem.
    lol.. I dunno
     
  7. Dec 12, 2011 #6

    LCKurtz

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    I'm curious too. Why don't you ask your teacher and tell us what you find out?
     
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