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1. (12 marks) (a) Show that the quadrature formula Q(P) = >-, c;P(x;) cannot have degree of precision greater than 2n - 1, regardless of the choice of cl, ..., On and T1, ..., In. Justify your answer. (b) Find the constants ro, 21, and c so that the quadrature formula [f(x)de = = f(zo) + cif(21) has the highest possible degree of precision. Justify your