Math140 - Business Calculus, Summer 2022, 8-Weeks Owen Logan 07/11/22 5:20 E Homework: 3.8 Implicit Differentiation and Question 10, 3.8.57-GI HW Score: 81.82%, 9 of 11 points Related Rates (11 Part 1 of 3 Points: 0 of 1 1300 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 by N(t) = - 1 + 14 e - 0.95t 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.) K