Mathematics, 24.11.2021 15:20 Harambe659

Evaluate the surface integral 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 + 5zk, S is the hemisphere x2 + y2 + z2 = 4, z ≥ 0, oriented downward

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Evaluate the surface integral F · dS for the given vector field F and the oriented surface S. In oth...