3. Consider the function: 1-12 1+12 Clearly this function has zeros at r= +1. (a) Modify our Newton's Method program, newtmeth, so that it prints: Does not converge and stops if at any point |2k| > 109. (b) Experimentally determine the interval [a, b] around 2 = 1 so that if the starting value is in this interval, Newton's Method converges to r = 1. Find a and b to three decimal places. #Perform Newton's Method with starting point xo #on 'f' where 'df' is its derivative until #| x - x1 tol and k