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. 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). (assume the constant of proportionality is k > 0. use a for a(t).)
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Answer:
See below
Step-by-step explanation:
(a) There is a number whose cube is equal to 2.
(b) The square of every number is at least 0.
(c) There is a number that is equal to its square.
(d) Every number is less than or equal to its square.
(By the way, this last statement <u>is not true</u> when 0 < x < 1)