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Math Help - Vector Field

  1. #1
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    Vector Field

    Hello!

    Area z^2=2*y parabolic cylinder plane
    Theta from 0 to pi
    r from 0 to 2*sin(theta)
    Let g(y) be a continuous derivateable function of y.
    A vector field F=yi+zg(y)+xzk

    Calculate the curve integrate

    What is this g(y)? F=[y,z?,xz]

    Kjell
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  2. #2
    MHF Contributor

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    Re: Vector Field

    I am not sure what your question is. You say "Let g(y) be a continuous derivateable function of y" and then ask "what is this g(y)?" Well, the only thing we can say is exactly what you told us- g(y) is some differentiable function- from what you tell us, it can be any continuous function.
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  3. #3
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    Re: Vector Field

    The function is z^2=2*y so I thought that g(y) is sqrt(2*y), and F=[y,z*sqrt(2*y),x*z] but I do not get the correct answer.

    Kjell
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