Implement bi-section method and Newton method for the solution/root finding of the following two functions. Please output the final root approximation and the total number of iterations involved. Here we choose the function value absolute error as error tolerance in the scale of 5 10− ε = . Submit your matlab codes (*.m) with other parts of the home work. (TA will run your code successfully to receive full credit) For Newton method, we can simply take the left end of the given interval as the initial guess. 1. f(x) = e^x + 2^-x + 2cos(x) − 6, p∈[1,2]
2. f(x) = (x - 2)2 - ln(x), p[e,4]