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The density of a 3.0-m long rod can be described by the linear density function ?(x) = 125 g/m + 13.0x g/m2. One end of the rod is positioned at x = 0 and the other at x = 3 m.

(a) Determine the total mass of the rod.

(b) Determine the center-of-mass coordinate.

x =

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