The number of times a new pop song has been downloaded t weeks after its initial release is given by ​f(t)=3,700,000/(1+500e−0.65t). ​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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