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July 29th, 2009, 08:56 PM  #1 
Newbie Joined: Jul 2009 Posts: 3 Thanks: 0  Help with Multivariable calculus.. Flux in Space?
note that i'll use ? as "del" or basically the thing infront of a gradient. See http://en.wikipedia.org/wiki/Del for more info "Show that, if S is a closed surface bounding a region D, and if "ƒ" has continuous seocnd derivatives inside D, then S ? ? ƒ?ƒ•n dS = D ? ? ? (ƒ[?^2ƒ] + ?ƒ^2) dV if I say that ?ƒ = F, or that ƒ is a potential for the gradient field F, and div(F) is the divergence of F, then prove: S ? ? ƒF•n dS = D ? ? ? (ƒ[div(F)] + F^2) dV If you coud help me with this proof I would appreciate it! Thanks. 
July 30th, 2009, 07:24 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,484 Thanks: 2041 
Why not use ??

July 30th, 2009, 10:21 AM  #3  
Newbie Joined: Jul 2009 Posts: 3 Thanks: 0  Re: Quote:
 
July 30th, 2009, 07:44 PM  #5  
Newbie Joined: Jul 2009 Posts: 3 Thanks: 0  Re: Quote:
Can you help me with the actual proof?  

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calculus, flux, multivariable, space 
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