Question: 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

Using the function f(x) as given below, answer Q1(a), Q1(b) and Q1(c)

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)

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