A dorm at a college houses 1200 students. One day. 20 of the students become lit with the u. which spreads quickly. Assume that the 1200 total number of students who have been infected aer t days is given by Ntt) = _ 075' . 1+239 a) After how many days is the u spreading the fastest? b) Approximately how many students per day are catching the u on the day found in part (a)? c) How many students have been infected on the day found in part (a)? @ a) The u is spreading the fastest alter [1 days. (Do not round until the nal answer. Then round to two decimal places as needed.) b) Approximately D students per day are catching the u. (Round to the nearest Whole number as needed.) c) Atotal of D students have been infected (Round to the nearest whole number as needed")