?The solid Q has the mass given by the triple integral \(\int_{0}^{\pi / 4} \int_{0}^{2

Chapter 5, Problem 350

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The solid Q has the mass given by the triple integral \(\int_{0}^{\pi / 4} \int_{0}^{2 \sec \theta} \int_{0}^{1}\left(r^{3} \cos \theta \sin \theta+2 r\right) d z d r d \theta\).

a. Find the density of the solid in rectangular coordinates.

b. Find the moment \(M_{x z}\) about the xz-plane.

Text Transcription:

int_0^pi/4 int_0^2 sec theta int_0^1 (r^3 cos theta sin theta + 2r) dz dr d theta

M_xz

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