Question: (a) Find the monic Legendre polynomial of degree 5 using the Gram-Schmidt process. Check your answer by using the Rodrigues formula. (b) Use orthogonality to

(a) Find the monic Legendre polynomial of degree 5 using the Gram-Schmidt process. Check your answer by using the Rodrigues formula.
(b) Use orthogonality to write t5 as linear combinations of Legendre polynomials.
(c) Repeat the exercise for degree 6.

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