SAT, 09.12.2021 02:50, smilingntn33p7pqpp

Evaluate the surface integral s f · ds for the given vector field f and the oriented surface s. In other words, find the flux of f across s. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = yi − xj + 4zk, s is the hemisphere x2 + y2 + z2 = 4, z ≥ 0, oriented downward.

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Evaluate the surface integral s f · ds for the given vector field f and the oriented surface s. In o...