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Homework Help: Urgent help! Vector Calculus question

  1. Nov 21, 2008 #1
    Urgent help! Vector Calculus question....

    Let S be the surface given by the graph z = 4 - x2 - y2 above the xy-plane (that it is, where z [tex]\geq[/tex] 0) with downward pointing normal, and let

    F (x,y,z) = xcosz i - ycosz j + (x2 + y2 ) k

    Compute [tex]\oint[/tex][tex]\oint[/tex]sF dS. (F has a downward pointing normal)

    (Hint: Its easy to see that div F = 0 on all R3. This implies that there exists a vector field G such that F = Curl G, although it doesnt tell you what G is)
    Last edited: Nov 21, 2008
  2. jcsd
  3. Nov 21, 2008 #2
    Re: Urgent help! Vector Calculus question....

    Please help me with this. Ive been working on it for 6 hours now and still cant figure it out.....Your help is really appreciated!
  4. Nov 22, 2008 #3
    Re: Urgent help! Vector Calculus question....

    I was about to suggest something but apparently, you have to show some attempts before we can help you.
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