Use Stokes Theorem to evaluate S curl F dS. F(x, y, z) = e xy

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

F(x, y, z) = exy i + exz j + x2z k, S is the half of the ellipsoid 4x2 + y2 + 4z2 = 4 that lies to the right of the xz-plane, oriented in the direction of the positive y-axis

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