(a) Find the volume of the region E bounded by the paraboloids z = x² + y2 and z = 24 - 5x2 – 5y?. (b) Find the centroid of E (the center of mass in the case where the density is constant). (7, 7, 2) - (

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(a) Find the volume of the region E bounded by the paraboloids z = x2 + y2 and z = 24 - 5x2 – 5y2.
(b) Find the centroid of E (the center of mass in the case where the density is constant).
(7, v. 2) = (
Transcribed Image Text:(a) Find the volume of the region E bounded by the paraboloids z = x2 + y2 and z = 24 - 5x2 – 5y2. (b) Find the centroid of E (the center of mass in the case where the density is constant). (7, v. 2) = (
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