Construct and evaluate to find the interpolating poly- nomial Prac), where t;=np.linspace(0,1.n) and yi = cos(22;). Do not change x-grid or y-grid. For n = 2, 3, 4, 5, 8, 10, (a) Plot the resulting polynomial, the data points, and the function cos(2x). (b) Plot the Lagrangian basis functions. (c) Plot the error between the resulting Pr(c) and the cos(272) (d) Repeat (a).(b), and (c) using Chebyshev points. Remember to change the interval for Chebyshev from (-1,1] to [0,1].

it should be done in Jupyter Notebook in python.