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Mathematics
Mathematics
Problem
A closed ecosystem contains two species,
A
A
A
and
B
B
B
, whose populations obey
A
(
t
)
+
B
(
t
)
=
1200
A(t)+B(t)=1200
A
(
t
)
+
B
(
t
)
=
1200
for all
t
t
t
. At a certain moment,
A
A
A
is increasing at
15
15
15
individuals per day. Determine
d
B
d
t
\displaystyle \frac{dB}{dt}
d
t
d
B
(units: individuals per day) at that moment.
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