Find the mass M and the center of mass x of a rod lying on the x-axis over the interval [1, 2] whose density is given by δ(x) = 2 + 3x2.

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Q: Calculate the total mass of a metal tube in the helical shape r(t) = (cos(t), sin(t), 1²) (distance…

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Q: A rod with density p(x) = 2 + 3x kg/m lies on the x-axis from x=0 to x=1. What is the center of mass…

A: Given density function ρ( x ) = 2 + 3x center of mass = ∫abxρ( x )dx∫abρ( x )dx

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