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Mathematics
Problem
A population
y
(
t
)
y(t)
y
(
t
)
is modeled by
d
y
d
t
=
0.2
y
(
100
−
y
)
\dfrac{dy}{dt}=0.2y(100-y)
d
t
d
y
=
0.2
y
(
100
−
y
)
. At what value of
y
y
y
does the population grow at its fastest rate?
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