been infected after t days is given by N(t) = %3D -0.75t 1+ 13 e ter how many days is the flu spreading the fastest? pproximately how many students per day are catching the flu on the c Dw many students have been infected on the day found in part (a)? days. ne flu is spreading the fastest after not round until the final answer. Then round to two decimal places as

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 1300 students. One day, 20 of the students become ill with the flu, which spreads quickly. Assume that the total number of students who
1300
have been infected after t days is given by N(t) =
%3D
1+ 13 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
(Do not round until the final answer. Then round to two decimal places as needed.)
days.
students per day are catching the flu.
b) Approximately
(Round to the nearest whole number as needed.)
c) A total of
(Round to the nearest whole number as needed.)
students have been infected.
Transcribed Image Text: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 1300 have been infected after t days is given by N(t) = %3D 1+ 13 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 (Do not round until the final answer. Then round to two decimal places as needed.) days. students per day are catching the flu. b) Approximately (Round to the nearest whole number as needed.) c) A total of (Round to the nearest whole number as needed.) students have been infected.
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