Suppose a population of size N is exposed to a contagious disease. If t is the time in days and y is the number of individuals infected at time t, then y= where k is the infection rate. The maximum 1+ (N - 1) e - kt In (N - 1) infection rate occurs at time tm= k An island has a native population of 1622, and a sailor from a visiting ship introduces a disease which has an infection rate of k = 0.27. Complete parts a through d. a. Write an equation for the number of natives who remain uninfected. Let z represent the number of uninfected natives. Z=

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Suppose a population of size N is exposed to a contagious disease. Ift is the time in days and y is the number of individuals infected at time t, then y =
where k is the infection rate. The maximum
- kt
1+ (N - 1) e
In (N – 1)
infection rate occurs at time tm
%3D
k
An island has a native population of 1622, and a sailor from a visiting ship introduces a disease which has an infection rate of k = 0.27. Complete parts a through d.
a. Write an equation for the number of natives who remain uninfected. Let z represent the number of uninfected natives.
Z =
Transcribed Image Text:Suppose a population of size N is exposed to a contagious disease. Ift is the time in days and y is the number of individuals infected at time t, then y = where k is the infection rate. The maximum - kt 1+ (N - 1) e In (N – 1) infection rate occurs at time tm %3D k An island has a native population of 1622, and a sailor from a visiting ship introduces a disease which has an infection rate of k = 0.27. Complete parts a through d. a. Write an equation for the number of natives who remain uninfected. Let z represent the number of uninfected natives. Z =
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