The concentration of a pollutant bacteria (C cells/mL) in a lake decreases with time (hours) ac-...

 

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The concentration of a pollutant bacteria (C cells/mL) in a lake decreases with time (hours) ac- cording to the following mathematical model: -24 C = 80e - 20e-0.2t a) Determine the time required for the bacteria concentration to be reduced to 2.0 cells/mL using the following methods (Download the required m-files from the course website (eclass)): Method Bisection Regula Falsi Newton Raphson Guess(es) Time no. of iterations no. of iterations hours for = 10-3 for e= 10-8 Table 1: Root finding methods b) Comment on the results in terms of the number of iterations needed to reach the desired convergence. The concentration of a pollutant bacteria (C cells/mL) in a lake decreases with time (hours) ac- cording to the following mathematical model: -24 C = 80e - 20e-0.2t a) Determine the time required for the bacteria concentration to be reduced to 2.0 cells/mL using the following methods (Download the required m-files from the course website (eclass)): Method Bisection Regula Falsi Newton Raphson Guess(es) Time no. of iterations no. of iterations hours for = 10-3 for e= 10-8 Table 1: Root finding methods b) Comment on the results in terms of the number of iterations needed to reach the desired convergence.