The specific growth rate g [day] of a yeast bacterial culture that produces an antibiotic is a function of food concentration, c [mg/L] according to g(c) = 2c 4+0.8c + c² + 0.2c³ Growth goes to zero at very low concentration due to food limitation. It also goes to zero at high concentration due to toxicity effects. Write an m-file to determine the value of c at which the growth is maximum using the false position method. For your calculation use an initial guess of x=0 mg/L, x,-5 mg/L and a precision of 1e-4. Plot the following three graphs in one figure to verify that your answer is correct. Ensure you label your plots. Plot g against c, where c ranges from 0 to 10. Plot the derivative of g against c for the same range above. • Plot a vertical line at the solution found by false position method Write a statement which describes the value of the concentration when the growth is a maximum, and the number of iterations it took to obtain the value. Note: The derivative of g(c) is g'(c): 10(20-5c²-2c³) (c + 5)²(c²+4)²

The specific growth rate g [day] of a yeast bacterial culture that produces an antibiotic is a function of food concentration, c [mg/L] according to g(c) = 2c 4+0.8c + c² + 0.2c³ Growth goes to zero at very low concentration due to food limitation. It also goes to zero at high concentration due to toxicity effects. Write an m-file to determine the value of c at which the growth is maximum using the false position method. For your calculation use an initial guess of x=0 mg/L, x,-5 mg/L and a precision of 1e-4. Plot the following three graphs in one figure to verify that your answer is correct. Ensure you label your plots. Plot g against c, where c ranges from 0 to 10. Plot the derivative of g against c for the same range above. • Plot a vertical line at the solution found by false position method Write a statement which describes the value of the concentration when the growth is a maximum, and the number of iterations it took to obtain the value. Note: The derivative of g(c) is g'(c): 10(20-5c²-2c³) (c + 5)²(c²+4)²

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Description: Please use matlab. The specific growth rate g [day'¹] of a yeast bacterial culture that produces an antibiotic is a functionof food concentration, c [mg/L] according tog(c):Growth goes to zero at very low concentration due to food limitation. It also

Systems Architecture

7th Edition

ISBN:9781305080195

Author:Stephen D. Burd

Publisher:Stephen D. Burd

Chapter12: Secondary Storage Management

Section: Chapter Questions

Problem 5VE

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