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Mathematics
Problem
A population changes according to
P
(
t
)
=
2000
e
0.03
t
P(t)=2000e^{0.03t}
P
(
t
)
=
2000
e
0.03
t
, where
P
P
P
is the number of individuals and
t
t
t
is the time in years. Determine the instantaneous rate of growth at
t
=
10
years
t=10\text{ years}
t
=
10
years
and state the units of your answer.
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