Subject :Numerical method&optimization

QUESTION 2 [35 MARKS] The concentration of bacteria in wastewater, C, related to time, 1, was reported by Cik Aminah in Table 1. a) Develop the best-fit equation for C and determine the R?. [20 Marks] b) Determine C at 1= 15 h, to the most accurate value. (3 Marks) c) Use the equation from QUESTION 2(a) to determine the maximum C in the wastewater. Employ any suitable optimization method with a stopping criterion of 5%. [12 Marks] 2 Table 1 Time, 1 (h) 4 8 12 16 20 24 28 Bacteria concentration, C(ugL) 2.5 3.2 3.4 3.5 3.3 2.0 0.3 QUESTION 2 [35 MARKS] The concentration of bacteria in wastewater, C, related to time, 1, was reported by Cik Aminah in Table 1. a) Develop the best-fit equation for C and determine the R?. [20 Marks] b) Determine C at 1= 15 h, to the most accurate value. (3 Marks) c) Use the equation from QUESTION 2(a) to determine the maximum C in the wastewater. Employ any suitable optimization method with a stopping criterion of 5%. [12 Marks] 2 Table 1 Time, 1 (h) 4 8 12 16 20 24 28 Bacteria concentration, C(ugL) 2.5 3.2 3.4 3.5 3.3 2.0 0.3