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A rod has length 2 meters at a distance x meters from its

Question: A rod has length 2 meters. At a distance x meters from its left end, the density of the rod is given by

δ(x) = 2 + 6x gm/m.

(a) Write a Riemann sum approximating the total mass of the rod.

(b) Find the exact mass by converting the sum into an integral.

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Mathematics: A rod has length 2 meters at a distance x meters from its

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