Mathematics
Mathematics, 05.11.2019 05:31, brainy51

The shed is filled with sawdust whose density (mass/unit volume) at any point is inversely proportional to the distance of that point from the floor. that is, if the constant of proportionality is k, and y is the distance from the bottom of the shed, the density of the sawdust in the shed at height y is given by ky. find a, b, and f(y) so that the mass of the sawdust in the shed is given by ∫baf(y) dy.

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