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Math Help - Conservative Vector Field!!!

  1. #1
    Junior Member
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    Conservative Vector Field!!!

    Hi, for the following problem, it says both the vector fields are conservative and therefore will have potential functions.

    Now, we know that if F is conservative then curl F = 0, which is true for the first vector field and the potential function for the first one is:

    6x^2y+6y^2z

    but it looks like the second vector field is not conservative. Please help me out with the second vector field...I dont know if it has a potential function....

    many Thanks,

    For each of the conservative vector fields below, find a potential function f.

    1.

    2.
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  2. #2
    Senior Member Twig's Avatar
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    Gothenburg
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    hi

    Hi there

    The second vectorfield is conservative, Curl is zero.

    I think you might have made some mistake perhaps when calculating
     \nabla \times \vec{F}

    So try that again.
    The first one is correct.
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  3. #3
    Junior Member
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    ans...

    Thanks!!

    Yup, made a mistake in doing the curl...

    The potential function is 8ye^(xz) + K...
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