Find the mass and center of mass of the plate that occupies the region and has the density function A. N: 0≤x≤ 3, x² ≤ y ≤9 X (x, y) = 3 xy a) OM= c) OM 729 4 b) OM= 729, M d) OM= 729 2 729 2 XM > IM 729 e) OM= " 2 XM f) O None of these. XM - = || 12 7 Ум 12 7 YM = 4374 7 27 4 YM " YM = 12 7' YM = 27 4 27 4 19683 8 12 7 27 4 h

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...
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Find the mass and center of mass of the plate that occupies the region and has the density function A.
N: 0≤x≤ 3, x² ≤ y ≤ 9
X (x, y) = 3 xy
a) OM
c) OM =
b) OM= 729, M =
d) OM
729
4
e) OM=
729
2
729
2
XM =
729
2
XM =
XM
XM
f) O None of these.
=
12
7'
12
?
7
4374
7
27
4
12
7
2
"
Ум
Ум
Ум
27
4
› YM =
YM =
27
4
19683
8
12
7
27
4
Transcribed Image Text:Find the mass and center of mass of the plate that occupies the region and has the density function A. N: 0≤x≤ 3, x² ≤ y ≤ 9 X (x, y) = 3 xy a) OM c) OM = b) OM= 729, M = d) OM 729 4 e) OM= 729 2 729 2 XM = 729 2 XM = XM XM f) O None of these. = 12 7' 12 ? 7 4374 7 27 4 12 7 2 " Ум Ум Ум 27 4 › YM = YM = 27 4 19683 8 12 7 27 4
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