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Math Help - computing flux through a surface

  1. #1
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    computing flux through a surface

    Compute the flux of the vector field,  \vec{F} , through the surface, S.  \vec{F}  = 7x\vec{i}  + y\vec{j}  + z\vec{k}  and S is the part of the surface z + 4x + 2y = 12 in the first octant oriented upward.

    Can someone please guide me how to solve for this?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    You have the method down as evidenced by your last post???

    The only pblm might be the region of integration but let z = 0 and you have a triangle in the x-y plane.

    N = 4i+2j+k F*N is no problem

    The last pblm was more dificult
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  3. #3
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    yes, I am actually confused by the limits of integration...
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  4. #4
    MHF Contributor Calculus26's Avatar
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    you have a triangle with vertices (0,0),(3,0) and (0,6)

    the line segment from (0,6) to (3,0) has eqn y = -2x +6

    So int y from 0 to -2x+6 and then x from 0 to 3
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  5. #5
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    thanks for the guide
    Last edited by TheRekz; April 21st 2009 at 04:30 PM.
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