Matlab

TASK 3 12 MARKS-L071] The specific growth rate g [day'] of a yeast bacterial culture that produces an antibiotic is a function of food concentration, c [mg/LJ according to 2c 4+0.8c + c2 +02c3 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 1le-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 10(20-5c2-2c3)