APPLIED NUMERICAL METHOD CODE IN MATLAB SHOW CODE AND OUTPUT

1 Problem 1 Use the interpolation nodes 2k-1 to interpolate f(x) on the interval |-1,1 using a 40th degree polynomial; once using the lagrange form and and once more using the newton form of the interpolating polynomial. You need only plot the highest degree polynomial. Then plot the logarithm of the error versus the degree of the polynomial. The function you write for this lab should look something like poly-cheb(a,b,f,n) t3 where a and b are your endpoints, f is a function handle, and n is the degree of the polynomial. The function should ask the user to input which form for the interpolation polynomial they would like to use. 1 Problem 1 Use the interpolation nodes 2k-1 to interpolate f(x) on the interval |-1,1 using a 40th degree polynomial; once using the lagrange form and and once more using the newton form of the interpolating polynomial. You need only plot the highest degree polynomial. Then plot the logarithm of the error versus the degree of the polynomial. The function you write for this lab should look something like poly-cheb(a,b,f,n) t3 where a and b are your endpoints, f is a function handle, and n is the degree of the polynomial. The function should ask the user to input which form for the interpolation polynomial they would like to use