Suppose that the rate at which a nuclear power plant produces radioactive waste is proportional to the number of years it has been operating, according to f (t)500t (in pounds per year). suppose also that the waste decays exponentially at a rate of 3% per year. Then the amount of radioactive waste that will accumulate in b years is given by fb0 500te -0.03(b-t) dt
(a) Evaluate this integral.
(b) How much waste will accumulate in the long run? Take the limit as b → ∞ in part (a).