(MATLAB) The following questions need to be programmed using MATLAB.

I need help in both of the questions please!! Thank you. Please make sure all the values that are stated are shown in the outputs.

1. Using 21 equally spaced nodes on the interval [-5, 51, find the interpolating polynomial p of degree 20 for the function f (x) xe 1) Print the values of f (x) and (x) at 41 equally spaced points, including the nodes observe the large discrepancy between f(x) and p(x). 2. (Continuation) Perform the experiment in the pre- ceding computer problem, using Chebyshev nodes xi 5 cos (int /20), where 0 S i S 20, and nodes xi 2 Where 03 i 3 20. Record your con- clusions