4) Galerkin Show that only c 2 needs to be found and that the related interpolating function is N2( x) = 3 _ 4x + x 2. Plot the obtained results. We now want to leverage the weak form using Galerkin method and a quadratic polynomial as approximation. a) assuming an approximation of the form ll IalHDaEJaZHEbE, write the expressions for a and b and specify the shapelinterpolating functions; b) derive the weak form of the problem; c) (extra ) solve for a 1 and a 2 (Hint: the use of the strong form requires the interpolating functions to satisfy both essential and normal BCs. In case of a weak form, only essential BCs are needed since the normal BCs are inherently included in the weak formulation of the problem)