A virus is spreading through the population of a salmon farm. It is determined that the growth rate of the virus varies with time of day according to the rule r(t) = (1+ sin(2nt)), where t is measured in days. The farm's total population is 80,000 salmon, and when the virus is fırst identified, the size of the infected population is lo = 50. %3D A.) Assuming that all of the fish are susceptible to the virus, which of the following equations best models the size of the infected population I(t) at time t: dl (i) dt (1+ sin(2nt)) · I dI 80000 – I (ii) (1+ sin(2nt)) ·I . dt 80000 I – 80000 dI (1+ sin(27t)) ·I . | (iii) dt 80000 B.) Using the equation you chose and the available data, find I(t)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A virus is spreading through the population of a salmon farm. It is
determined that the growth rate of the virus varies with time of day
according to the rule
r(t) =(1+ sin(2nt)),
where t is measured in days.
The farm's total population is 80,000 salmon, and when the virus is first
identified, the size of the infected population is lo = 50.
%3D
A.) Assuming that all of the fish are susceptible to the virus, which of the
following equations best models the size of the infected population I(t) at
time t:
dI
(i)
dt
(1+ sin(2nt)) · I
dI
80000 – I
(ii)
(1+ sin(2nt)) ·I.
dt
80000
dI
I – 80000
-
(iii)
(1+ sin(2nt) · I ·
dt
80000
B.) Using the equation you chose and the available data, find I(t)
Transcribed Image Text:A virus is spreading through the population of a salmon farm. It is determined that the growth rate of the virus varies with time of day according to the rule r(t) =(1+ sin(2nt)), where t is measured in days. The farm's total population is 80,000 salmon, and when the virus is first identified, the size of the infected population is lo = 50. %3D A.) Assuming that all of the fish are susceptible to the virus, which of the following equations best models the size of the infected population I(t) at time t: dI (i) dt (1+ sin(2nt)) · I dI 80000 – I (ii) (1+ sin(2nt)) ·I. dt 80000 dI I – 80000 - (iii) (1+ sin(2nt) · I · dt 80000 B.) Using the equation you chose and the available data, find I(t)
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