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Question 2.1 (12 points) Compute the surface integral SJ F . dS, where S is the part of the hyperboloid x2 + y2 - 22

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Question 2.1 (12 points) Compute the surface integral SJ F . dS, where S is the part of the hyperboloid x2 + y2 - 22 = 1 between z = -1 and z = 1 that has normal direction pointing radially outwards from the z-axis, and F(x, y, z) = (a y, -223 y2, z2). Provide a sketch to justify your

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