Question: Derive the equations for the coefficients and function evaluation points that you would need for a n-point Gauss quadrature that is exact for 2n
Derive the equations for the coefficients and function evaluation points that you would need for a n-point Gauss quadrature that is exact for 2n − 1-order polynomials. Write aMATLAB program that uses Newton–Raphson to determine the coefficients and evaluation points for an arbitrary value of n. In your written solution, include the entries in the Jacobian. Use your program to solve for the coefficients and evaluation points for n = 5.
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