Question: Problem 5. Divergence and volume: a) Let S be a closed smooth surface, and let E denotes the region inside S. Show the relation: Vol(

Problem 5. Divergence and volume: a) Let S be a closed smooth surface, and let E denotes the region inside S. Show the relation: Vol( E) = (x, y, z) .nds, S where Vol(E) denote the volume of E. b) Use the above result and find the volume of the ellipsoid: 2 2 N . Q2 62 -2 =1. Note that the natural parametrization of an ellipsoid is: x = asin() cos(0), y=bsin($) sin(0) and z = ccos(4)

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