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SOLVED: Using Gram-Schmidt process, find a polynomial P3(x) of degree three which is orthogonal to all polynomials of degree at most two on the interval [1,5]. 2, Find roots of Pz(x) using Maple or a graphing calculator. Use these roots X1' Xz, X3 to find coefficients C1, Cz, C3 for Gaussian Quadrature Formula in the form f(x) dx = c1 flx1) cz flxz) c3 flx3) E(f)where E(f) = when f(x) is a polynomial of degree at most five:3 Use your formula in part 2 to estimateIn(1 x2) dx
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