Experiments show that a colony of bacteria with sufficient food and no predators and with zero death rate, grows at a rate proportional to the size of the its population P at time t (in minutes). Hence the population P satisfies the initial value problem dP dr 0 kP, or some positive constant k (in /minute) where the initial population P(0) = P = 39613.03 bacteria (decimals allowed). If the population doubled after 25.97 minutes, when will the population triple? Answer: minutes. (Use two decimal places for the answer, no units needed) Add your answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Experiments show that a colony of bacteria with sufficient food and no predators and with zero death rate, grows at a rate
proportional to the size of the its population P at time t (in minutes). Hence the population P satisfies the initial value problem
dP
dr
the population doubled after 25.97 minutes, when will the population triple?
=kP, or some positive constant k (in /minute) where the initial population P(0) = P = 39613.03 bacteria (decimals allowed). If
0
Answer:
minutes. (Use two decimal places for the answer, no units needed)
Add your answer
Transcribed Image Text:Experiments show that a colony of bacteria with sufficient food and no predators and with zero death rate, grows at a rate proportional to the size of the its population P at time t (in minutes). Hence the population P satisfies the initial value problem dP dr the population doubled after 25.97 minutes, when will the population triple? =kP, or some positive constant k (in /minute) where the initial population P(0) = P = 39613.03 bacteria (decimals allowed). If 0 Answer: minutes. (Use two decimal places for the answer, no units needed) Add your answer
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