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May 14th, 2011, 11:30 AM   #1
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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 xy-plane. 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?
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May 14th, 2011, 12:18 PM   #2
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Re: proof by using greens theorem or stokes theorem

They're defining F to be that vector field and depends on what f is.
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May 14th, 2011, 12:29 PM   #3
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Re: proof by using greens theorem or stokes theorem

But if i wanted to solve that assignment where would i start to get this F-vector. I mean if it had not had minus in front of x-term then curlvector had become something else
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May 14th, 2011, 01:10 PM   #4
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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.
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May 14th, 2011, 01:17 PM   #5
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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
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May 14th, 2011, 02:13 PM   #6
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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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