11. (Integration Quadrature) bance and (a) Construct the quadrature formula for f(x)dx using a second order poly- nomial approximation to f(b). The polynomial should pass through the points 20 = a, 21 = a +h+ E, and x2 = a + 2h, where h (-26. a+b). (b) Show that for any choice of e other than = 0, the method is O(h) instead of being O(h). Note: symbolic software like Maple, Maxima or Matlab symbolic toolbox should be useful. 11. (Integration Quadrature) bance and (a) Construct the quadrature formula for f(x)dx using a second order poly- nomial approximation to f(b). The polynomial should pass through the points 20 = a, 21 = a +h+ E, and x2 = a + 2h, where h (-26. a+b). (b) Show that for any choice of e other than = 0, the method is O(h) instead of being O(h). Note: symbolic software like Maple, Maxima or Matlab symbolic toolbox should be useful