Question: 3. (30 pts) (Problem 6.2) Determine the highest real root of f(x) = 2x3 11.7x2 + 17.7x 5 a) Graphically. b) Write a MATLAB program

 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 11.7x2 + 17.7x 5 a) Graphically. b) Write a MATLAB program using the fixed-point method to determine the root with xo = 3 c) Write a MATLAB program using the Newton-Raphson method to determine the root with Xo = 3. - 3 d) Write a MATLAB program using the secant method to determine the root with X-1 = and xo = 4. e) Compare the approximate relative errors between these three methods at the third iteration (initial value is the zeroth iteration). The Language is C and the software is MatLabs

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