Suppose two students are memorizing the elements on a list according to the rate of change equation dl dt 0.5(1-l), where l represents the fraction of the list that is memorized at any time t (a) if one of the students knows one-third of the list at time t 0 and the other student knows (b) what does the rate of change equation predict for someone who begins with the list completely (c) suppose now that the list is infinitely long, like the decimal representation for π. in reality no none of the list, which student is learning most rapidly at this instant? why? memorized? explain. one can memorize all the digits to π, but what does the rate of change equation predict will happen for a person who starts out not knowing any of the digits? that is, according to the rate of change equation, if l = 0 at time t = 0, is there ever a value of t for which l = 1? explain.