A dorm at a college houses 1500 students. One day, 20 of the students become ill with the u, which spreads quickly. Assume that the total number of students who have been infected after t days is given by 1500 1+14e'0-55t' 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 (3)? Mt) = a) The flu is spreading the fastest after |:| days. (Do not round until the nal answer. Then round to two decimal places as needed.)