The total number of reported cases of an illness in a large city t days after the start of an outbreak is modeled by the function y = F(t) that is a solution to the logistic differential equation dy =y(1400-y). If there are 5 reported cases of the illness initially, what is the limiting value for the total number of reported cases of the illness as t increases? dt 5600

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 2
The total number of reported cases of an illness in a large city t days after the start of an outbreak is modeled by the function y = F (t) that is a solution to the logistic differential equation
5600 (1400-y). If there are 5 reported cases of the illness initially, what is the limiting value for the total number of reported cases of the illness as t increases?
dy
1
dt
1
A
B
D
700
3
1400
2800
5600
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Transcribed Image Text:3 H Question 2 The total number of reported cases of an illness in a large city t days after the start of an outbreak is modeled by the function y = F (t) that is a solution to the logistic differential equation 5600 (1400-y). If there are 5 reported cases of the illness initially, what is the limiting value for the total number of reported cases of the illness as t increases? dy 1 dt 1 A B D 700 3 1400 2800 5600 Type here to search. @ 2 F2 3 ♫₁ F3 O 4D $ 4 F4 3' DII % 5 F5 O F6 6 % F7 O & 7 PrtScn FB 8 Home F9 24°F End F10 D PgUp, F11 4x < PgOn 12 12:2 2/24 O
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