USE PYTHON TO SOLVE:

It was observed that Newton's method provides only linear convergence towards roots of multiplicity greater than one. How does the secant method perform under such circumstances? Each of the following functions has a zero at the specified location. Perform ten iterations of the secant method. Does the sequence generated by the secant method converge with a 1.618 or has the order dropped to a 1? (a) f(x) -x(1 - cosx) has a zero at x -0. Use po -1 and ,2 (b) f(x) 27x* +162x3 - 180x2 +62x - 7 has a zero at x 1/3. 0-- and It was observed that Newton's method provides only linear convergence towards roots of multiplicity greater than one. How does the secant method perform under such circumstances? Each of the following functions has a zero at the specified location. Perform ten iterations of the secant method. Does the sequence generated by the secant method converge with a 1.618 or has the order dropped to a 1? (a) f(x) -x(1 - cosx) has a zero at x -0. Use po -1 and ,2 (b) f(x) 27x* +162x3 - 180x2 +62x - 7 has a zero at x 1/3. 0-- and