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Q: [itex] w=(x,y,z) [/itex] what is the flux [itex] \int \int w \cdot n\,\, dS [/itex] out of a unit cube and a unit sphere? Compute both sides in the divergence theorem?

A: ?

[tex] \vec w = (x,y,z) [/tex]

[tex] \int \int \vec w \cdot n \,\,dS = \int\int\int div \,\vec w \,\,dV [/tex]

[tex] grad \cdot \vec w = 3 [/tex]

[tex] 3\int dV = 3 \times vol_{sphere} = 4\pi [/tex]

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# Homework Help: Divergence Theorem

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