Problem 1 f (x) cos(x) xsin(x) 10 x 1 Estimate the first positive root of this function using a two term Taylor series (includes the second derivative). The starting point should be x0-0.5 Estimate the root of f(x) by finding the root of the Taylor series approximation. Then use the estimated root as the new starting point (usually denoted as a) for the next estimate. Do at least three iterations and stop when the estimate of the root changes by less than 1%. IN MATLAB 0.5 f(x) 0 0.5 0 10 Problem 1 f (x) cos(x) xsin(x) 10 x 1 Estimate the first positive root of this function using a two term Taylor series (includes the second derivative). The starting point should be x0-0.5 Estimate the root of f(x) by finding the root of the Taylor series approximation. Then use the estimated root as the new starting point (usually denoted as a) for the next estimate. Do at least three iterations and stop when the estimate of the root changes by less than 1%. IN MATLAB 0.5 f(x) 0 0.5 0 10