A cell of the bacterium E. coli divides into two cells every 20minutes when placed in a
Chapter 8, Problem 30(choose chapter or problem)
A cell of the bacterium E. coli divides into two cells every 20minutes when placed in a nutrient culture. Let y = y(t) bethe number of cells that are present t minutes after a singlecell is placed in the culture. Assume that the growth of thebacteria is approximated by an exponential growth model.(a) Find an initial-value problem whose solution is y(t).(b) Find a formula for y (t).(c) How many cells are present after 2 hours?(d) How long does it take for the number of cells to reach1,000,000?
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