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in the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized. assume that the rate at which material is forgotten is proportional to the amount memorized. suppose m denotes the total amount of a subject to be memorized and a(t) is the amount memorized in time t > 0. determine a differential equation for the amount a(t) when forgetfulness is take