Question 1 Let S be the top half of the unit sphere, i.e., the surface dened by 1:2 + y2 + 22 = 1 and
Question 1 Let S be the top half of the unit sphere, i.e., the surface dened by 1:2 + y2 + 22 = 1 and z 2 0. (a) Give a parametrization of 85' with the orientation corresponding to outwards pointing normal vectors for S. (b) Use part (a) and Stokes' theorem to evaluate ffS(V X F) as for F(a:, y, z) = 51:21: + y2j + mzyzzgk. Here 5' is oriented with outwards pointing normal vectors
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