Question: Evaluate the integral / s (V X F) . dS, where S is the portion of the surface of a sphere defined by x2 +

Evaluate the integral / s (V X F) . dS, where S is the portion of the surface of a sphere defined by x2 + y + z = 1 and x + y + z _ 1, and where F = r x (i + j + k), r = 5xi + 5yj + 5zk. (Assume that the sphere is outward oriented so that the normal of S has a positive k component.) (Express numbers in exact form. Use symbolic notation and fractions where needed.) (V X F) . dS = S

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