Computational Method exam Q11 Three Point Gauss quadrature f

Three Point Gauss quadrature formula is exact for polynomials up to degree 1 4 3 5 In the geometrical meaning of Eular\'s algorithm, the curve is approximated as a Straight line Circle Parabola Ellipse A predictor formula is used to predict the value of y at x x_i x_i + 1 y_i

Solution

11. An n-point Gaussian quadrature formula is a quadrature formula used to produce an accurate result for polynomials having degree 2n 1 or less by choosing a right choice of the points x_i and weights w_i for i = 1, ..., n.

Given n = 3

=> Degree <= 2*3 - 1 = 5

=> d option is correct.