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The rate of change of a population of bacteria in a petri-dish can be described as the difference between the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of bacteria, and if death rate= px^2, where p is a constant, answer the following questions based on the description provided. 2.A.1) Provide the differential equation related to the rate of change of bacterial population with time based on the above given information. 2.A.2) If b=1, and p=0.8, solve the differential equation stated in 2.1 using Matlab assuming there were 1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in the answer script) 2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the solution using the 'explot' command to show the population of bacteria present after 2 hours.

The rate of change of a population of bacteria in a petri-dish can be described as the difference between the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of bacteria, and if death rate= px^2, where p is a constant, answer the following questions based on the description provided. 2.A.1) Provide the differential equation related to the rate of change of bacterial population with time based on the above given information. 2.A.2) If b=1, and p=0.8, solve the differential equation stated in 2.1 using Matlab assuming there were 1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in the answer script) 2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the solution using the 'explot' command to show the population of bacteria present after 2 hours.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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TASK 02 Part A The rate of change of a population of bacteria in a petri-dish can be described as the difference between the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of bacteria, and if death rate= px^2, where p is a constant, answer the following questions based on the description provided. 2.A.1) Provide the differential equation related to the rate of change of bacterial population with time based on the above given information. 2.A.2) If b=1, and p=-0.8, solve the differential equation stated in 2.1 using Matlab assuming there were 1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in the answer script) 2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the solution using the 'ezplot' command to show the population of bacteria present after 2 hours. 2.A.4) Comment on the state of the population of bacteria after 2 hours using the graph plotted above.
Transcribed Image Text:TASK 02 Part A The rate of change of a population of bacteria in a petri-dish can be described as the difference between the birth rate and the death rate. If the birth rate = bx, where b is a constant and x is the number of bacteria, and if death rate= px^2, where p is a constant, answer the following questions based on the description provided. 2.A.1) Provide the differential equation related to the rate of change of bacterial population with time based on the above given information. 2.A.2) If b=1, and p=-0.8, solve the differential equation stated in 2.1 using Matlab assuming there were 1500 bacteria present in the dish initially. (Provide a clear screen shot of the code and solution obtained in the answer script) 2.A.3) "ezplot" command is useful to obtain a quick visualization of a function. Plot a graph of the solution using the 'ezplot' command to show the population of bacteria present after 2 hours. 2.A.4) Comment on the state of the population of bacteria after 2 hours using the graph plotted above.
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