Solved: 5356. Ellipsoid problems Let D be the solid

Chapter 13, Problem 55

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5356. Ellipsoid problems Let D be the solid bounded by the ellipsoid x2>a2 + y2>b2 + z2>c2 = 1, where a 7 0, b 7 0, and c 7 0 are real numbers. Let T be the transformation x = au, y = bv, z = cw. Find the center of mass of the upper half of D 1z 02 assuming it has a constant density.

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