A dorm at a college houses 1100 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 1100 t days is given by N(t) = 1+14 e -0.75t 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.) b) Approximately students per day are catching the flu. (Round to the nearest whole number as needed.) c) A total of students have been infected. (Round to the nearest whole number as needed.)