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Math Help - vector field and curl

  1. #1
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    potential vector

    The vector field F(x,y)=( y^2 +cosx i )+ 2xy j in the plane is conservative.


    can I conclude this statement is right if I found the potential f(x,y)=x y^2 + sinx ?
    Last edited by yzc717; May 16th 2009 at 08:16 PM.
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  2. #2
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    Quote Originally Posted by yzc717 View Post
    The vector field F(x,y)=( y^2 +cosx i )+ 2xy j in the plane is conservative.


    can I conclude this statement is right if I found the potential f(x,y)=x y^2 + sinx ?
    Yes.

    \nabla \times F = 0 \Longleftrightarrow F = \nabla f
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