The logistic growth function f(t)= 109,000 1+5900e -t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular communit a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill? a. The number of people initially infected is. (Round to the nearest whole number as needed.) b. The number of people infected after 4 weeks is. (Round to the nearest whole number as needed.) E. The limiting size of the infected population is Round to the nearest whole number as needed.) I
The logistic growth function f(t)= 109,000 1+5900e -t describes the number of people, f(t), who have become ill with influenza t weeks after its initial outbreak in a particular communit a. How many people became ill with the flu when the epidemic began? b. How many people were ill by the end of the fourth week? c. What is the limiting size of the population that becomes ill? a. The number of people initially infected is. (Round to the nearest whole number as needed.) b. The number of people infected after 4 weeks is. (Round to the nearest whole number as needed.) E. The limiting size of the infected population is Round to the nearest whole number as needed.) I
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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Transcribed Image Text:The logistic growth function \( f(t) = \frac{109,000}{1 + 5900e^{-t}} \) describes the number of people, \( f(t) \), who have become ill with influenza \( t \) weeks after its initial outbreak in a particular community.
### Questions
a. How many people became ill with the flu when the epidemic began?
b. How many people were ill by the end of the fourth week?
c. What is the limiting size of the population that becomes ill?
### Answers
a. The number of people initially infected is \(\_\_\_\).
(Round to the nearest whole number as needed.)
b. The number of people infected after 4 weeks is \(\_\_\_\).
(Round to the nearest whole number as needed.)
c. The limiting size of the infected population is \(\_\_\_\).
(Round to the nearest whole number as needed.)
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