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Math Help - Divergence Theorem

  1. #1
    Senior Member bugatti79's Avatar
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    Jul 2010
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    Divergence Theorem

    Folks,

    Verify the divergence theorem for

    F(x,y,z)=zi+yj+xk and G the solid sphere x^2+y^2+z^2<=16

    My attempt

    The radius of the sphere is 4 and div F= 2, therefore the integral becomes

    \int\int\int div(F)dV=\int_0^{2\pi} \int_0^{\pi} \int_0^{4} 2dV=\int_0^{2\pi} \int_0^{\pi} \int_0^{4} 2\rho^2 sin (\phi) d\rho d\phi d \theta

    Is this correct so far?
    Last edited by bugatti79; April 21st 2012 at 07:19 AM.
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