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Find the mass and center of mass of the solid E with the given density function...

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Question

Basic Math

Find the mass and center of mass of the solid E withthe given density function ρ.

E is bounded by the parabolic cylinder

z = 1 − y2

and the planes

x + 4z = 4,

x = 0,

and

z = 0;

ρ(x, y, z) = 3.

m=
x, y, z
=

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