3. Let S be the part of the sphere +y + z² = 4 located above the plane z 0, oriented at the point (0, 0, 2) by the unit normal vector n= k. Note that CE is not a closed surface. Let F also be the...

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Extracted text: 3. Let S be the part of the sphere +y + z² = 4 located above the plane z 0, oriented at the point (0, 0, 2) by the unit normal vector n= k. Note that CE is not a closed surface. Let F also be the defined vector field by F(z, y, 2) = [r +exp(Vy? +2?)]i+ [v + exp(v2 + z²)] j +[z + exp{/2 where exp stands for the exponential function. Calculate the flux of F through S. is pronortional to the square of the