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Find the center of mass of the following solid, assuming constant density. Sketch the region and indicate the location of the centroid. Use symmetry when

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Find the center of mass of the following solid, assuming constant density. Sketch the region and indicate the location of the centroid. Use symmetry when possible and choose a convenient coordinate system. The region bounded by the paraboloid z = x2 + y and the plane z = 49. . . . Determine the triple integral to be used to most efficiently find Myy, the solid's moment with respect to the xy-plane. Use increasing limits of integration. Assume a density of 1. Use cylindrical coordinates. 000 Mxy J J dz r dr de (Type exact answers. ) 000 The center of mass, in Cartesian coordinates, is located at (. .). (Type exact answers in simplified form.) Choose the correct graph below. O A. O B. O c. 149 centroid centroid 49 49 * centroid

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