2 When the variation function = ; f1+c2 f2 is applied to a certain quantum-mechanical system whose Hamiltonian is given by H, one finds = 4a, = a, = 6a, (f1|f1) = 2b, (f2|f2) = 3b, {f1|f2) = b, where a and b are known positive constants. Use this to find the upper bounds to the lowest two energies in terms of a and b. ({k'n} R, {fn} R,His = Hy, 512 = 521)