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Mathematics, 09.10.2019 05:30 odymonster9
Use the divergence theorem to evaluate s f · ds, where f(x, y, z) = z2xi + y3 3 + tan z j + (x2z + y2)k and s is the top half of the sphere x2 + y2 + z2 = 9. (hint: note that s is not a closed surface. first compute integrals over s1 and s2, where s1 is the disk x2 + y2 ≤ 9, oriented downward, and s2 = s1 ∪ s.)
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Use the divergence theorem to evaluate s f · ds, where f(x, y, z) = z2xi + y3 3 + tan z j + (x2z + y...
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