Consider f(x) = em +2+ + 2 cos(x) 6 on the interval (1,2). (a) Write a Matlab function NM=NewtonM (POVector, f,df, e, NO) that takes a vector of initial values poVector, function f, its dervative Df, error e, and maximum number of iteration NO and outputs a vector of estimates of the root. (b) Apply (a) with povector=[0, 1, 1.5, 2, 3), e=10-4, NO=15. Consider f(x) = em +2+ + 2 cos(x) 6 on the interval (1,2). (a) Write a Matlab function NM=NewtonM (POVector, f,df, e, NO) that takes a vector of initial values poVector, function f, its dervative Df, error e, and maximum number of iteration NO and outputs a vector of estimates of the root. (b) Apply (a) with povector=[0, 1, 1.5, 2, 3), e=10-4, NO=15