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Mathematics
Problem
The rate of spread of a rumor in a population is given by
R
(
t
)
=
100
t
e
−
0.5
t
R(t) = 100t e^{-0.5t}
R
(
t
)
=
100
t
e
−
0.5
t
new people per hour. At what time
t
t
t
is the rate of spread decreasing most rapidly?
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