The total mass of a rod of length L meters is M kilograms. The linear density at a point x meters from the left end is proportional to the measure of the distance of the point from the right end. Prove that the linear density at a point on the rod x meters from the left end is 2M(L − x)/ L2 kg/m.

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The total mass of a rod of length L meters is M kilograms. The linear density at a point x meters from the left end is proportional to the measure of the distance of the point from the right end. Prove that the linear density at a point on the rod x meters from the left end is 2M(L − x)/ L2 kg/m. 

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