4. Employ fixed point iteration to locate the root of f(x) = sin(x) - x Use the initial guess of xo-0.5 and iterate until & 0.01% Verify that the process is linearly convergent. 5. Determine the lowest positive root of f(x) = 7 sin(x)e-* - 1 (a) Graphically (Use Matlab plotting facility) (b) Using Newton-Raphson method (three iterations, x=0.3) 6. The polynomial f(x) = 0.0074 x-0.284 x +3.355 x -12.183 x +5 has a real root between 15 and 20. Apply the Newton-Raphson method to this function using an initial guess xo=16.15. Explain your results. KASS/SLTC/SMA2305/2023/TUTE-1 7. Find one of the real roots of the equation e* + x=100 using suitable Fixed Point iteration and a reasonable initial value xo. You must justify why your iterative scheme will converge definitely to the desired root.