3 VECTORIAL CALCULUS HWK questions

1. Use a triple integral to find the volume of the given solid. The solid enclosed by the paraboloids

y = x² + z² and y = 32 x² z².

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2. A plate occupies the part of the disk x² + y² 25 in the first quadrant. Determine its center of mass if the density at any point is proportional to its distance from the x-axis.