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Math Help - Flux Question

  1. #1
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    Flux Question

    Hey guys is it possible if somebody can show me how to solve this question?

    Find the flux of the vector field F(x,y,z)=e^(-y)i - yj + xsinzk across sigma with outward orientation where sigma is the portion of the elliptic cylinder r(u,v)=2cosvi +sinvj+uk with 0<=u<=5, 0<=v<=2pi.

    Thanks!
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  2. #2
    MHF Contributor arbolis's Avatar
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    Quote Originally Posted by jdmwol2ks View Post
    Hey guys is it possible if somebody can show me how to solve this question?

    Find the flux of the vector field F(x,y,z)=e^(-y)i - yj + xsinzk across sigma with outward orientation where sigma is the portion of the elliptic cylinder r(u,v)=2cosvi +sinvj+uk with 0<=u<=5, 0<=v<=2pi.

    Thanks!
    I would use the divergence theorem.
    Here's a similar exercise : http://www.mathhelpforum.com/math-he...e-theorem.html, actually \iiint _D div F \ dVis the flux passing by D.
    So in your exercise I'd first calculate the divergence of the field F and then chose an appropriate change of variables in order to evaluate \iiint _{\sigma} dV.
    Here's another thread where the volume of an elliptical cone is calculated. That might really help you here.
    http://www.mathhelpforum.com/math-he...lume-cone.html
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