Find the mass and center of mass of the plate that occupies the region and has the density function A. : -2 ≤x≤ 2, 0≤ y ≤4 A (x, y) = 2x² a) OM= b) OM= c) OM = d) OM = e) OM= 128 3 -, M = 2, YM = 0 256 3 64 3 128 3 128 XM = 0, y = 2 3' *M = 0, y = 2 IM " = 0, y = 2 *M = 0, y = f) O None of these. 256 3

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 12E
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Find the mass and center of mass of the plate that occupies the region and has the density function A.
2: -2 ≤ x ≤ 2, 0≤ y ≤4
X (x, y) = 2x²
a) OM=
b) OM=
c) OM =
d) OM =
e) OM=
128
"
3
256
3
64
3
128
3
IM = 2, y = 0
, M = 0, y = 2
128
3
*M = 0, y = 2
*M = 0, y = 2
*M = 0, YM =
f) O None of these.
256
3
T
Transcribed Image Text:Find the mass and center of mass of the plate that occupies the region and has the density function A. 2: -2 ≤ x ≤ 2, 0≤ y ≤4 X (x, y) = 2x² a) OM= b) OM= c) OM = d) OM = e) OM= 128 " 3 256 3 64 3 128 3 IM = 2, y = 0 , M = 0, y = 2 128 3 *M = 0, y = 2 *M = 0, y = 2 *M = 0, YM = f) O None of these. 256 3 T
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