Suppose that an initial population of 10,000 bacteria growsexponentially at a rate of 2%
Chapter 8, Problem 29(choose chapter or problem)
A cell of the bacterium \(E\). coli divides into two cells every 20 minutes when placed in a nutrient culture. Let \(y=y(t)\) be the number of cells that are present \(t\) minutes after a single cell is placed in the culture. Assume that the growth of the bacteria 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 reach 1,000,000?
Equation Transcription:
Text Transcription:
E
y = y(t)
t
y(t)
y(t)
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