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Math Help - stokes !

  1. #1
    n22
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    stokes !

    Hopefully I havent posted this question before.
    For this question stokes theorem is required.
    let c be the curve of intersection of the cone z=sqrt(x^2+y^2) and the plane 3z=y+4 taken once anticlockwise when viewed from above.
    Evaluate ∮(sinx-y)dx+(x+cosz)dy+(e^z+z)dz
    I would very much appreciate if someone could find the right integrals..and arrive at the correct answer.
    .i have spent ages on this question ...thanks.

    I used the following eqn ∫∫(∇xF).ndS
    then the next step would be to find the cross product.
    the normal is 1/√10(j-3k) taken from 3z=y+4
    The integrals I got for this are:θ btwn and 2π
    phi goes from o to 1 ???
    the answer in the answers is 3√2π

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  2. #2
    n22
    n22 is offline
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    Re: stokes !

    Quote Originally Posted by n22 View Post
    Hopefully I havent posted this question before.
    For this question stokes theorem is required.
    let c be the curve of intersection of the cone z=sqrt(x^2+y^2) and the plane 3z=y+4 taken once anticlockwise when viewed from above.
    Evaluate ∮(sinx-y)dx+(x+cosz)dy+(e^z+z)dz
    I would very much appreciate if someone could find the right integrals..and arrive at the correct answer.
    .i have spent ages on this question ...thanks.

    I used the following eqn ∫∫(∇xF).ndS
    then the next step would be to find the cross product.
    the normal is 1/√10(j-3k) taken from 3z=y+4
    The integrals I got for this are:θ btwn and 2π
    phi goes from o to 1 ???
    the answer in the answers is 3√2π

    I have a feeling that the normal is wrong .can someone double check it for me please.
    I have a feeling that perhaps I find the area of ellipse?? to answer this question..
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