Use (a) the Newton-Raphson method and (b) the modified secant method ( = 0.05) to

Chapter 6, Problem 6.5

(choose chapter or problem)

Use

(a) the Newton-Raphson method and

(b) the modified secant method \((\delta=0.05)\) to determine a root of \(f(x)=x^{5}-16.05 x^{4}+88.75 x^{3}-192.0375 x^{2}+116.35 x+31.6875\) using an initial guess of \(x=0.5825\) and \(\varepsilon_{s}=0.01 \%\). Explain your results.

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