Please show me how to solve the question (all questions) included matlab. (work need to be shown)

6 Let n 2 m 2 0, a E R, and n+1 distinct interpolation points 2:9, 2:1, . . ., x\" . Let 5:}: be the differentiation coefcients d m as: (5) Lame such that the degree-n polynomial p(27) which interpolates n + 1 values fj at n + 1 points $1,: satises P(m)(al = 26:;ka 2:0 (a) Derive the recurrence relation for 0 S k S n 1. (b) Write a Matlab code which evaluates 6:11 for 0 g m S M , given a and the points a and at}. (c) Use your code from (b), the numbers In through bu] from Question 4, and the Euler-Maclaurin summation formula to complete the following table of endpointcorrected trapezoidal weights of even order n = 2, 4, .. . , 20: Math 128A, Spring 2018 Problem Set 06 mg ml 102 11.13 1.04 195 1.06 w? 2 1/2 1 1 1 1 1 1 1 4 9/24 28/24 23/24 1 1 1 1 1 6 1 1 1