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Problem 13. Consider the Gauss quadrature rule with two Gaussian points and two weights for the integral f(x)dx ~ Aof(xo) + Alf(x1). -2 (a) Determine

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Problem 13. Consider the Gauss quadrature rule with two Gaussian points and two weights for the integral f(x)dx ~ Aof(xo) + Alf(x1). -2 (a) Determine the Gaussian points using the Legendre polynomial e2(x) = x2 - (b) Determine the weights A1, A2 by means of the Lagrange interpolation. Show all details of the calculation. (c) Determine the order of accuracy of a general 2-point composite Gauss quadrature rule. Put a frame around your

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