?A solid Q has a volume given by \(\iint_{D}^{b} \int_{a}^{b} d A d z\), where D is the

Chapter 5, Problem 352

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A solid Q has a volume given by \(\iint_{D}^{b} \int_{a}^{b} d A d z\), where D is the projection of the solid onto the xy-plane and a < b are real numbers, and its density does not depend on the variable z. Show that its center of mass lies in the plane \(z=\frac{a+b}{2}\) .

Text Transcription:

iint_D^b int_a^b dA dz

z=a+b/2

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