2. (25 pts) You are given the quadrature formula b-a b - a 9.0, , 1) = 5747 (e + 5) +6+43 (46 +). Q(ab = f 3 1 a + - 4 a
Posted: Thu May 12, 2022 8:12 am
2. (25 pts) You are given the quadrature formula b-a b - a 9.0, , 1) = 5747 (e + 5) +6+43 (46 +). Q(ab = f 3 1 a + - 4 a -6 2 2 4 a) Determine to what degree m this formula integrates polynomials exactly. b) Compute the approximation of 1 d.r I had using Q+ as given above (simplify your result, it may contain expressions like V2 and V3). c) How does the quadrature Q: compare to the trapezoidal and Gauss rule? Which one of the three would you use in practice?