A dorm at a college houses 1400 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)=1400/(1+21e−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 dorm at a college houses 1400 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)=1400/(1+21e−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)?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A dorm at a college houses 1400 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)=1400/(1+21e−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)?
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