?The solid \(Q=\left\{(x, y, z) \mid 0 \leq x^{2}+y^{2} \leq 16, x \geq 0, y \geq 0,0
Chapter 5, Problem 345(choose chapter or problem)
The solid \(Q=\left\{(x, y, z) \mid 0 \leq x^{2}+y^{2} \leq 16, x \geq 0, y \geq 0,0 \leq z \leq x\right\}\) has the density \(\rho(x, y, z)=k\). Show that the moment \(M_{x y}\) about the xy-plane is half of the moment \(M_{x y}\) about the yz-plane.
Text Transcription:
Q={(x, y, z) mid 0 leq x^2 + y^2 leq 16, x geq 0, y geq 0,0 leq z leq x}
rho(x, y, z) = k
M_xy
M_xy
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