only part c

(c). With the same problems in (b), now we use the Chebyshev nodes of Type I and Type II. Type I: ri 35 cos (ir/20), 0 Sis 20, Type II: ri cos (2i 1)T/12), 0 is 20 ind the interpolating polynomial p(z) for each Typ and plot f(a) with p(z) for both e, Types, and the errors e(r) f(a) -p(z) as well. Do these nodes work better than uniform nodes? Give your comments What to hand in: Hand in your Matlab script file, and the plots of f (r) with p(z), and the error, and your comments