3. Suppose you have a solid, flat plate in the shape of a region R with density function 6(x, y) kg/m². You are given the following information: R J = 8 (z, y) dA = 10 16 3 [[₂y 8(x, y) dA = 20 SS 6(x, y) dA = 4 R R We can conclude that the mass of the plate is kg, and the center of mass has coordinates (,7) = (

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 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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3. Suppose you have a solid, flat plate in the shape of a region R with density function 6(x, y) kg/m².
You are given the following information:
R
J = 8 (z, y) dA = 10
16
3
[[₂y 8(x, y) dA = 20
SS
6(x, y) dA = 4
R
R
We can conclude that the mass of the plate is
kg,
and the center of mass has coordinates (,7) = (
Transcribed Image Text:3. Suppose you have a solid, flat plate in the shape of a region R with density function 6(x, y) kg/m². You are given the following information: R J = 8 (z, y) dA = 10 16 3 [[₂y 8(x, y) dA = 20 SS 6(x, y) dA = 4 R R We can conclude that the mass of the plate is kg, and the center of mass has coordinates (,7) = (
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