Question: help me with the problem Problem 5. This problem involves applying the divergence theorem to compute volumes. a) Let S be a closed smooth surface,

help me with the problem

help me with the problem Problem 5. This problem
Problem 5. This problem involves applying the divergence theorem to compute volumes. a) Let S be a closed smooth surface, and let denote the region enclosed by . Prove the following relation: vol(B) == # F.#dS, 1{ '5' where F = (x. y, z), vol(E) represents the volume of E, and 1 is the unit outward normal vector to the surface S. b) Use the above result to find the volume of the ellipsoid: 2 2 2 B U7 6 T s az b 2 The natural parametrization of the ellipsoid is given by: z =asin() cos(f) r(f,):={ y=bsin()sin(f) . z=ccos() where # [0, 2n] and [0, 7]

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