?[T] The solid Q has the mass given by the triple integral \(\int_{-1}^{1}

Chapter 5, Problem 339

(choose chapter or problem)

[T] The solid Q has the mass given by the triple integral \(\int_{-1}^{1} \int_{0}^{\frac{\pi}{4}} \int_{0}^{1} r^{2} d r d \theta d z\). Use a CAS to answer the following questions.

a. Show that the center of mass of Q is located in the xy-plane.

b. Graph Q and locate its center of mass.

Text Transcription:

int_-1^1 int_0^pi/4 int_0^1 r^2 dr d theta dz

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