Question: Use Stokes Theorem to evaluate S curl F dS. F(x, y, z) = ze y i + x cos y j + xz

Use Stokes’ Theorem to evaluate ʃʃS curl F • dS.

F(x, y, z) = zey i + x cos y j + xz sin y k, S is the hemisphere x2 + y2 + z2 = 16, y > 0, oriented in the direction of the positive y-axis

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