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Find the mass and center of mass of the lamina that occupies the region D and has the given density function D = {(x, y) | 0 ≤ x ≤ 4, − 1 ≤ y ≤ 1}; p(x, y) = 8xy² m = (x, y) =

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 5E: For the right circular cylinder, suppose that r=5 in. and h=6 in. Find the exact and approximate a...

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Question

Find the mass and center of mass of the lamina that occupies the region D and has the given density function p.
D = {(x, y) | 0 ≤ x ≤ 4, − 1 ≤ y ≤ 1}; p(x, y) = 8xy²
m =
(x, y)
=

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