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Variable-density solids Find the coordinates of the center of mass of the following solid with variable density. The region bounded by the paraboloid z = 4 - x2 - y2 andz = 0 with ρ(x, y, z) = 5 - z

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 43E: A frustum of a cone is the portion of the cone bounded between the circular base and a plane...

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Question

Variable-density solids Find the coordinates of the center of mass of the following solid with variable density.

The region bounded by the paraboloid z = 4 - x² - y² and
z = 0 with ρ(x, y, z) = 5 - z

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