2Q x, y, z: x2 y2 1, 0 z 4 x2 y 2 kx2
Chapter 14, Problem 62(choose chapter or problem)
Moments of Inertia In Exercises 61 and 62, set up a triple integral that gives the moment of inertia about the z-axis of the solid region Q of density \(\rho\).
\(Q=\left\{(x, y, z): x^{2}+y^{2} \leq 1,0 \leq z \leq 4-x^{2}-y^{2}\right\}\)
\(\rho=k x^{2}\)
Text Transcription:
rho
Q={(x, y, z): x^2 + y^2 leq 1, 0 leq z leq 4 - x^2 - y^2}
rho=kx^2
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