The number of times a new pop song has been downloaded tweeks 3,600,000 1 + 3006' 055* ' a) After how many weeks is the rate of change of the number of downloads maximized? b) What is the rate of change of the number of downloads at the time found in part (a)? c) How many times has the song been downloaded at the time found in part (a)? after its initial release is given by f(t) = (Z) a) The rate of change of the number of downloads is maximized after B weeks. (Do not round until the final answer. Then round to two decimal places as needed.)