We wish to find roots of the following equation: cos(x) = x 3
(a) Perform two iterations of Bisection method by hand to find the roots of the nonlinear equation using the initial interval of 0.5 to 1.
(b) Perform two iterations of Regula Falsi method by hand to find the roots of the nonlinear equation using the initial interval of 0.5 to 1.
(c) Perform two iterations of Newton-Raphson method by hand to find the roots of the nonlinear equation using the initial guess of 0.75.