?The solid Q has the mass given by the triple integral \(\int_{0}^{1} \int_{0}^{\pi / 2}

Chapter 5, Problem 348

(choose chapter or problem)

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

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

b. Find the moment \(M_{x y}\) about the xy-plane.

Text Transcription:

int_0^1 int_0 ^ pi / 2 int_0 ^ r^2 (r^4 + r) dz d theta dr

M_xy

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