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Find the mass m and center of mass x of the thin rod with the following density function. p(x) = 4 - 36 : Tor

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Find the mass m and center of mass x of the thin rod with the following density function. p(x) = 4 - 36 : Tor 0 5 x5 6 Set up the integral that gives the mass m. Use increasing limits of integration. m = dx (Type exact answers.) Evaluate the mass m of the thin rod. m = (Simplify your answer.) Set up the integral that gives the total moment M. Use increasing limits of integration. M = dx (Type exact answers.) Evaluate the center of mass x of the thin rod. X = (Simplify your answer.)

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