N(v) Science Source = 8v 1 + 2v + v² where v is the mortality rate (that is, virulence) and v≥ 0. Evaluate lim,N(v) and interpret your result.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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2.2 (31) Virulence and pathogen transmission The number of new infections produced by an individual infected with a pathogen such as influenza depends on the mortality rate that the pathogen causes. This pathogen-induced mortality rate is referred to as the pathogen's virulence. (The photo shows victims at Camp Funston of the influenza epidemic of 1918.] Extremely high levels of virulence result in very little transmission because the infected individual dies before infecting other individuals. Under certain assumptions, the number of new infections N is related to virulence v by the function
N(v)
Science Source
=
8v
1 + 2v + v²
where v is the mortality rate (that is, virulence) and v≥ 0.
Evaluate lim, N(v) and interpret your result.
Transcribed Image Text:N(v) Science Source = 8v 1 + 2v + v² where v is the mortality rate (that is, virulence) and v≥ 0. Evaluate lim, N(v) and interpret your result.
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