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Mathematics
Problem
The function
p
(
t
)
=
t
e
−
0.2
t
2
p(t)=t\,e^{-0.2t^{2}}
p
(
t
)
=
t
e
−
0.2
t
2
models the population (in hundreds) of a bacterial colony
t
t
t
hours after inoculation. For
t
>
0
t>0
t
>
0
, at what time does the population attain a maximum? a)
t
≈
2.5
t\approx2.5
t
≈
2.5
b)
t
≈
1.6
t\approx1.6
t
≈
1.6
c)
t
≈
0.8
t\approx0.8
t
≈
0.8
d)
t
≈
3.2
t\approx3.2
t
≈
3.2
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