?The solid Q is bounded by the planes x + y + z = 3, x = 0, y = 0, and z = 0. Its
Chapter 5, Problem 341(choose chapter or problem)
The solid Q is bounded by the planes x + y + z = 3, x = 0, y = 0, and z = 0. Its density is \(\rho(x, y, z)=x+a y\), where a > 0. Show that the center of mass of the solid is located in the plane \(z=\frac{3}{5}\) for any value of a.
Text Transcription:
rho(x, y, z)=x+ay
z=3/5
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