Find the mass and the center of mass of the solid E with the given density function p(x,y,z). E is bounded by the parabolic cylinder z = 1 - y2 and the planes x + 5z = 5, x=0, and z=0; p(x,y,z) = 2. X m = X II N у = 0 8/5 25/14 II 2/7

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Find the mass and the center of mass of the solid E with the given density function p(x,y,z).
E is bounded by the parabolic cylinder z = 1 - y² and the planes
x + 5z = 5, x=0, and z=0; p(x,y,z) = 2.
X
m =
X =
y
N
=
=
8/5
25/14
0
2/7
Transcribed Image Text:Find the mass and the center of mass of the solid E with the given density function p(x,y,z). E is bounded by the parabolic cylinder z = 1 - y² and the planes x + 5z = 5, x=0, and z=0; p(x,y,z) = 2. X m = X = y N = = 8/5 25/14 0 2/7
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