Let B be the solid bounded by the surfaces z=3x^2+4y^2,   x^2+y^2=25, and the xy-plane (distances in cm). Suppose B has a constant mass density of 4 g/cm^3. Here, you will compute the moment of inertia of B about the axis through (−3,4,−4) that is perpendicular to the yz-plane. (a) What is the square of the distance between an arbitrary point (x,y,z) and the axis? r^2=  (b) Find the moment of inertia of B about the axis. Include units on your answer. I=

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let B be the solid bounded by the surfaces z=3x^2+4y^2,   x^2+y^2=25, and the xy-plane (distances in cm). Suppose B has a constant mass density of 4 g/cm^3. Here, you will compute the moment of inertia of B about the axis through (−3,4,−4) that is perpendicular to the yz-plane.

(a) What is the square of the distance between an arbitrary point (x,y,z) and the axis?

r^2= 

(b) Find the moment of inertia of B about the axis. Include units on your answer.

I= 

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