A population
P
\displaystyle {P}
P
obeys the logistic model. It satisfies the equation
d
P
d
t
=
0.11
P
(
1
−
P
7400
)
\displaystyle {\frac{{{d}{P}}}{{{\left.{d}{t}\right.}}}}={0.11}{P}{\left({1}-\frac{{P}}{{7400}}\right)}
d
t
d
P
=
0.11
P
(
1
−
7400
P
)
for
P
>
0.
\displaystyle {P}>{0}.
P
>
0
.
(a) The population is increasing when
<
P
<
\displaystyle <{P}<
<
P
<
(b) The population is decreasing when
P
>
\displaystyle {P}>
P
>
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