USE MATLAB code to solve problem #4. (a)Use Newton interpolation polynomial to approximate ln(x) using three data points x1=1, f(x1)=0, x2=4, f(x2)=1.386294, x3=6, f(x3)=1.791759. (b) Add a fourth point [x4=5; f(x4)=1.609438] to the interpolation above to get an improved estimation of ln(x). (c) Plot the two polynomials in 1 and 2 along with the exact (ln(x)) curve in the interval [0.5,6.5].

ln(x) using three data points (a)Use Newton interpolation polynomial to approximate xl-1, f(x1)-0, x2-4, f(x2)-1.386294, x3-6, fx3)-1.791759 (b) Add a fourth point [x4-5; f(x4)-1.609438] to the interpolation above to get an improved estimation of In(x). (c) Plot the two polynomials in 1 and 2 along with the exact (ln(x)) curve in the interval [0.5,6.5]