f(x)=(x1)sin2(x) (a) Express f(x) in the form f(x)=(x1)mh(x), where h(1)=0. Hint: sinx= sin(x1) (b) Use the standard Newton's method with x0=0.9 to recover x=1 to 8 digits of accuracy. How many iterations were required? Compute xnxn1xn+1xn at each iteration. Is your computed ratio consistent with what you found in part (a)? Implementation Hint: Use the Matlab function sinc to make your computation numerically stable near x=1. (c) Use one of the modifications to Newton's method discussed in class to obtain superlinear convergence. How many iterations with x0=0.9 were required to recover x=1 to 8 digits of accuracy. What is the order of convergence