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Mathematics
Problem
A bacterial population
B
(
t
)
=
500
t
2
+
2000
B(t)=500t^{2}+2000
B
(
t
)
=
500
t
2
+
2000
is measured in individual bacteria, where
t
t
t
is the number of hours after noon. Determine
B
′
(
2
)
B'(2)
B
′
(
2
)
and state its meaning, including appropriate units.
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