An epidemic was spreading such that I weeks after its outbreak the rate of infection was N₁ (t) 0.18 0.8t + 150, 0sts 50 people per week. Twenty-five weeks after the outbreak, a vaccine was developed and administered to the public. At that point, the rate of infection of people per week was governed by the model N₂(t)=-0.2²5.7t + 215. Approximate the number of people that the vaccine prevented from becoming ill during the epidemic. (Round your answer to the nearest integer) people Need Help? Road I Watch Master

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An epidemic was spreading such that t weeks after its outbreak the rate of infection was
N. (1)-0.18 0.8t + 150,
0sts 50
people per week. Twenty-five weeks after the outbreak, a vaccine was developed and administered to the public. At that point, the rate of infection of people per week was governed
by the model
N₂(t)=-0.2²5.7t + 215.
Approximate the number of people that the vaccine prevented from becoming ill during the epidemic. (Round your answer to the nearest integer)
people
Need Help? Road I
Wach
Master
Transcribed Image Text:An epidemic was spreading such that t weeks after its outbreak the rate of infection was N. (1)-0.18 0.8t + 150, 0sts 50 people per week. Twenty-five weeks after the outbreak, a vaccine was developed and administered to the public. At that point, the rate of infection of people per week was governed by the model N₂(t)=-0.2²5.7t + 215. Approximate the number of people that the vaccine prevented from becoming ill during the epidemic. (Round your answer to the nearest integer) people Need Help? Road I Wach Master
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