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Mathematics
Mathematics
Problem
A population is modeled by the differential equation
d
P
d
t
=
0.02
P
(
1200
−
P
)
\dfrac{dP}{dt}=0.02\,P\,(1200-P)
d
t
d
P
=
0.02
P
(
1200
−
P
)
. What value does the model predict the population will approach as
t
→
∞
t\to\infty
t
→
∞
? a)
600
600
600
b)
0.02
0.02
0.02
c)
1200
1200
1200
d)
24
24
24
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