A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate? Answer: k = 2. What was the initial size of the Gulture? Answer: Po = 3. Find an expression for the number of bacteria after t hours. Answer. P(t) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours.
Answer the following questions.
1. What is the relative growth rate?
Answer. k =
2. What was the initial size of the culture?
Answer. Po
3. Find an expression for the number of bacteria after t hours.
Answer. P(t)
4. Find the number of cells after 3 hours.
Answer.
5. When will the population reach 1000000?
Answer (in hours): t
Transcribed Image Text:A bacteria culture grows with constant relative growth rate. The bacteria count was 1296 after 2 hours and 531441 after 6 hours. Answer the following questions. 1. What is the relative growth rate? Answer. k = 2. What was the initial size of the culture? Answer. Po 3. Find an expression for the number of bacteria after t hours. Answer. P(t) 4. Find the number of cells after 3 hours. Answer. 5. When will the population reach 1000000? Answer (in hours): t
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