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Undergraduate
Calculus
Calculus Of Variations
The number of yeast celis in a laboratory culture increases rapidly initially
Undergraduate
The number of yeast celis in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function n =
The number of yeast celis in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function
n
=
(
t
)
=
a
1
b
e
-
0
.
7
t
where
t
is measured in hours. At time
t
=
0
the population is
1
0
cells and is increasing at a rate of
6
cellishouf. Find the values of a and
b
.
a
=
According to this model, what happens to the yeast population in the long run, that is
,
as
t
=
?
The yeast population will grow without bound.
The yeast population will stabilize at
3
5
cells.
The yeast population will shrink to
0
cells.
The yeast population will stabilize at
6
cells.
The yeast population will stabilize at
7
0
cells.
Step by Step Solution
1
Understanding Responsive Design Principles
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