Let E be the solid region bounded by the upper half-sphere x2 + y² + z² = 4 and the plane z = 0. Use the divergence theorem in R' to find the flux (in the outward direction) of the vector field F = (sin(2y) + 2æz, zy + cos(x), z² + y°) across the boundary surface dE of the solid region E. Flux

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