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May 14th, 2011, 12:30 PM  #1 
Newbie Joined: May 2011 Posts: 8 Thanks: 0  proof by using greens theorem or stokes theorem
Let f(x,y) have continous partial derivatives of first and second order in a area in the xyplane. The area is determinded by a closed smooth curve C. Show that if: in A then answertext: http://bildr.no/view/882973 Where do they find F in the answer text? 
May 14th, 2011, 01:18 PM  #2 
Senior Member Joined: Sep 2009 From: Wisconsin, USA Posts: 227 Thanks: 0  Re: proof by using greens theorem or stokes theorem
They're defining F to be that vector field and depends on what f is.

May 14th, 2011, 01:29 PM  #3 
Newbie Joined: May 2011 Posts: 8 Thanks: 0  Re: proof by using greens theorem or stokes theorem
But if i wanted to solve that assignment where would i start to get this Fvector. I mean if it had not had minus in front of xterm then curlvector had become something else

May 14th, 2011, 02:10 PM  #4 
Senior Member Joined: Sep 2009 From: Wisconsin, USA Posts: 227 Thanks: 0  Re: proof by using greens theorem or stokes theorem
In order to know what the vector F is, you need to know what f is. In this problem, f is not defined. However, it does tell you that the curl of F is zero. That's the only information you know about f.

May 14th, 2011, 02:17 PM  #5 
Newbie Joined: May 2011 Posts: 8 Thanks: 0  Re: proof by using greens theorem or stokes theorem
where does it in the assignment say that curl F is zero, not in the answer that is 
May 14th, 2011, 03:13 PM  #6 
Senior Member Joined: Sep 2009 From: Wisconsin, USA Posts: 227 Thanks: 0  Re: proof by using greens theorem or stokes theorem
Says from the information given in the text. I assume it means in the problem.


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