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3. In an experiment, the growth rate of a population of bacteria t hours after the bacteria are exposed to moist air is dP approximated by k√t, where P dt represents the population size and k is a constant. The population of bacteria is 1,000 before the bacteria are exposed to moist air and the population grows to 1,200 after 4 hours. Find the population bacteria after 9 hours. -

3. In an experiment, the growth rate of a population of bacteria t hours after the bacteria are exposed to moist air is dP approximated by k√t, where P dt represents the population size and k is a constant. The population of bacteria is 1,000 before the bacteria are exposed to moist air and the population grows to 1,200 after 4 hours. Find the population bacteria after 9 hours. -

Advanced Engineering Mathematics
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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3. In an experiment, the growth rate of a population of bacteria t hours after the bacteria are exposed to moist air is approximated by k√t, where P dP dt represents the population size and k is a constant. The population of bacteria is 1,000 before the bacteria are exposed to moist air and the population grows to 1,200 after 4 hours. Find the population bacteria after 9 hours. -
Transcribed Image Text:3. In an experiment, the growth rate of a population of bacteria t hours after the bacteria are exposed to moist air is approximated by k√t, where P dP dt represents the population size and k is a constant. The population of bacteria is 1,000 before the bacteria are exposed to moist air and the population grows to 1,200 after 4 hours. Find the population bacteria after 9 hours. -
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