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A colony of bacteria is growing in a petri dish which has a maximum capacity of 140mg. The mass of bacteria is increasing at a rate given by the logistic equation. Initially there is 2mg of bacteria and the rate of increase is 1mg per day. Write down the logistic equation satisfied by the mass, m. m' = (140/69)e^(m) When will the mass of bacteria be 70mg? number of days = What is the mass (in GRAMS) of bacteria 10 days after the mass was 2mg? mass = 0.13956 grams Online Math Lab resources for this problem: • Differential Equations • Slope Fields Note: You can earn partial credit on this problem.

A colony of bacteria is growing in a petri dish which has a maximum capacity of 140mg. The mass of bacteria is increasing at a rate given by the logistic equation. Initially there is 2mg of bacteria and the rate of increase is 1mg per day. Write down the logistic equation satisfied by the mass, m. m' = (140/69)e^(m) When will the mass of bacteria be 70mg? number of days = What is the mass (in GRAMS) of bacteria 10 days after the mass was 2mg? mass = 0.13956 grams Online Math Lab resources for this problem: • Differential Equations • Slope Fields Note: You can earn partial credit on this problem.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 16EQ
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A colony of bacteria is growing in a petri dish which has a maximum capacity of 140mg. The mass of bacteria is increasing at a rate given by the logistic equation. Initially there is 2mg of bacteria and the rate of increase is 1mg per day. Write down the logistic equation satisfied by the mass, m. m' (140/69)e^(m) When will the mass of bacteria be 70mg? number of days: What is the mass (in GRAMS) of bacteria 10 days after the mass was 2mg? mass = 0.13956 grams Online Math Lab resources for this problem: Differential Equations • Slope Fields Note: You can earn partial credit on this problem.
Transcribed Image Text:A colony of bacteria is growing in a petri dish which has a maximum capacity of 140mg. The mass of bacteria is increasing at a rate given by the logistic equation. Initially there is 2mg of bacteria and the rate of increase is 1mg per day. Write down the logistic equation satisfied by the mass, m. m' (140/69)e^(m) When will the mass of bacteria be 70mg? number of days: What is the mass (in GRAMS) of bacteria 10 days after the mass was 2mg? mass = 0.13956 grams Online Math Lab resources for this problem: Differential Equations • Slope Fields Note: You can earn partial credit on this problem.
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