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Mathematics
Mathematics
Problem
Consider the population model
d
P
d
t
=
0.3
P
(
1200
−
P
)
\dfrac{dP}{dt}=0.3\,P\,(1200-P)
d
t
d
P
=
0.3
P
(
1200
−
P
)
, where
P
P
P
is measured in bacteria and
t
t
t
in hours. What is the maximum possible value of
d
P
d
t
\dfrac{dP}{dt}
d
t
d
P
, in bacteria per hour? a)
360
000
360\,000
360
000
b)
108
000
108\,000
108
000
c)
90
000
90\,000
90
000
d)
81
000
81\,000
81
000
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