A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells and it doubles after 3 hours, answer the following questions. 1. Write an expression for the number of yeast cells after t hours. Answer: P(t) = 2. Find the number of yeast cells after 7 hours. Answer: 3. Find the rate at which the population of yeast cells is increasing at 7 hours. Answer (in cells per hour):
A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells and it doubles after 3 hours, answer the following questions. 1. Write an expression for the number of yeast cells after t hours. Answer: P(t) = 2. Find the number of yeast cells after 7 hours. Answer: 3. Find the rate at which the population of yeast cells is increasing at 7 hours. Answer (in cells per hour):
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:A culture of yeast grows at a rate proportional to its size. If the initial population is 2000 cells and it doubles after 3 hours, answer the following questions.
1. Write an expression for the number of yeast cells after t hours.
Answer: P(t) =
=
2. Find the number of yeast cells after 7 hours.
Answer:
3. Find the rate at which the population of yeast cells is increasing at 7 hours.
Answer (in cells per hour):
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