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In: Advanced Math

A dorm at a college houses 1900 students. One​ day, 20 of the students become ill...

A dorm at a college houses 1900 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)=1900/1+25e-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)?

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