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Mathematics, 28.08.2021 01:40 christinapim
Let S be the unit sphere with outward orientation N and B denote the unit ball, that is the inside of the unit sphere. Let F(x, y,z) = ^xi + ^yj + ^zk. Compute the following:
(i) ∫∫S (F. N)dA
(ii) ∫∫B div(F)dV
(iii) What did you notice? Compare this to Green's Theorem.
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