Growth of Bacteria The organism E. coli is a common bacterium. Under certain conditions, it undergoes cell division approximately each 20 minutes. During cell division, each cell divides into two cells. a. Explain why the number of E. coli cells present is an exponential function of time.
Growth of Bacteria The organism E. coli is a common bacterium. Under certain conditions, it undergoes cell division approximately each 20 minutes. During cell division, each cell divides into two cells. a. Explain why the number of E. coli cells present is an exponential function of time.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:14. Growth of Bacteria The organism E. coli is a
common bacterium. Under certain conditions,
it undergoes cell division approximately each
20 minutes. During cell division, each cell divides
into two cells.
a. Explain why the number of E. coli cells present
is an exponential function of time.
Transcribed Image Text:b. What is the hourly growth factor for E. coli?
c. Express the population N of E. coli as an expo-
nential function of time t measured in hours.
(Use N, to denote the initial population.)
d. How long will it take a population of E. coli to
triple in size?
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