Using the function f(x) as given below, answer Q1(a), Q1(b) and Q1(c) accordingly. The function has multiple roots that lies on the positive side of x-axis between x = 0 to x = 5. f(x) = x-11.58x3 + 47.20x - 79.22x + 45.28 a) Estimate the number of roots and its estimation position. (CO1: PO1 - 2 marks) b) Limiting the standard percentage error, s on bracketing method: = 5% and maximum iteration of 5, based i) Find the lowest root using bisection method. ii) Calculate the second lowest root using false position method. (CO1: PO1 - 13 marks) c) Limiting the standard percentage error, &s= 1%, determine the largest root using Newton-Raphson. (CO1 PO1 - 10 marks)