5. At any time t > 0, in hours, the rate of growth of a population of bacteria is given by dy dt y. Initially, there are 200 bacteria in the culture. A. Find a model for the number of bacteria present at any time t 2 0. B. Write, but do not evaluate an expression to find the average number of bacteria in the population for 0
5. At any time t > 0, in hours, the rate of growth of a population of bacteria is given by dy dt y. Initially, there are 200 bacteria in the culture. A. Find a model for the number of bacteria present at any time t 2 0. B. Write, but do not evaluate an expression to find the average number of bacteria in the population for 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. At any time t > 0, in hours, the rate of growth of a population of bacteria is given by
* =y. Initially, there are 200 bacteria in the culture.
dy
dt
A. Find a model for the number of bacteria present at any time t > 0.
B. Write, but do not evaluate an expression to find the average number of bacteria in the
population for 0 <t < 10.
C. Write, but do not evaluate, an expression to find the average rate of bacteria growth over
the first 10 hours of growth. Indicate units of measure.
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