Problem 12. (a) Showing all details derive the focal Tmpezoidal Rafe hf? mm 2 ginwamh/a], 41/2 for the reference interval [h/2, h/2]. You must make use of the Lagrange interpolation polynomial that interpolates f(:r) at the two points, x0 = 41/2 and 131 = M2, and the corresponding Lagrange basis functions, 60(3)) and {1(a) (b) Showing all details use Taylor expansions to determine the error formula for the quadrature rule from part (a) of this Problem. Put a frame around your