Problem #3 6.1 Employ fixed-point iteration to locate the root of f(x)=sin(√√x)-x Use an initial guess of x0 = 0.5 and iterate until & ≤0.01%. Verify that the process is linearly convergent as described at the end of Sec. 6.1. Assignment 2 GENG 300 Numerical Methods Problem #4 6.2 Use (a) fixed-point iteration and (b) the Newton- Raphson method to determine a root of f(x) = -0.9x²+ 1.7x+2.5 using x0 = 5. Perform the computation until sa is less than 8, = 0.01%. Also check your final answer. 1