1.The number of times a new pop song has been downloaded t weeks after its initial release is given

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A dorm at a college houses 1300 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students who have been infected after t days is given 1300 by N(!) 1+ 15 e - 0.65t a) After how many days is the flu spreading the fastest? b) Approximately how many students per day are catching the flu on the day found in part (a)? c) How many students have been infected on the day found in part (a)? a) The flu is spreading the fastest after days. (Do not round until the final answer. Then round to two decimal places as needed.)The number of times a new pop song has been downloaded t weeks after its initial release is given 3,000,000 by f(t) = - 1 +500 e - 0.45t . 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)? a) The rate of change of the number of downloads is maximized after weeks. (Do not round until the final answer. Then round to two decimal places as needed.)