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Mathematics
Mathematics
Problem
A bacterial population
P
P
P
(in thousands of cells) satisfies
d
P
d
t
=
0.8
P
\dfrac{dP}{dt}=0.8P
d
t
d
P
=
0.8
P
, where
t
t
t
is measured in hours. Given
P
(
0
)
=
2.0
P(0)=2.0
P
(
0
)
=
2.0
, approximate
P
(
1
)
P(1)
P
(
1
)
using four equal time steps of length
0.25
0.25
0.25
hour. State your answer to three decimal places with appropriate units.
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