Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The rate of growth of a bacterial culture is given by
d
N
d
t
=
0.4
N
(
1
−
N
1000
)
\dfrac{dN}{dt}=0.4\,N\!\Bigl(1-\dfrac{N}{1000}\Bigr)
d
t
d
N
=
0.4
N
(
1
−
1000
N
)
, where
N
N
N
is the number of bacteria. Determine the population size at which the growth rate is greatest.
Browse the problem library