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An estuary contains 10 kg. of PCB (toxic waste) dispersed in a total of 3 MCF (million cubic feet) o ...

An estuary contains 10 kg. of PCB (toxic waste) dispersed in a total of 3 MCF (million cubic feet) of mud. Influx of muddy water will add to the mud volume at the rate of 1 MCF / year. Superfund begins to clean up the site using an enzyme that breaks down (hence removes) the PCB at a rate proportional to the concentration in kg/MCF of PCB. Write an initial value problem for the amount P (t) of PCB present af- ter t years. Be sure to state interpretations and units for any constants you introduce.

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