Question: Evaluate x dy dz - z dz dx + 22 dx dy S over each of the oriented surfaces of Exercise 1.1. For each of


Evaluate x dy dz - z dz dx + 22 dx dy S over each of the oriented surfaces of Exercise 1.1. For each of the following parametrized surfaces, oriented so that the normal vector points away from the origin, determine the order of the two parametrizing variables so that positive orientation in the pullback corresponds to the positive orientation of the surface: (a) upper hemisphere: z=c039 coed, y=sin0 cosqb, z=sin, 0s0521r, 05S1r/2
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