Question: 3. (30 pts) (Problem 6.2) Determine the highest real root of f(x) = 2x3-117x2 + 177x-5 a) Graphically. b) write a MATLAB program using the

3. (30 pts) (Problem 6.2) Determine the highest real root of

3. (30 pts) (Problem 6.2) Determine the highest real root of f(x) = 2x3-117x2 + 177x-5 a) Graphically. b) write a MATLAB program using the fixed-point method to determine the root with x,- c) Write a MATLAB program using the Newton-Raphson method to determine the root with x,-3. d) Write a MATLAB program using the secant method to determine the root with x.1 3 and Xo = 4. Compare the relative errors between these three methods at the third iteration (initial value is the zeroth iteration). e)

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