The number of times a new pop song has been downloaded t weeks after its initial release is given by 4,000,000 f(t)= 1+200 e -0.55t 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)?

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