Refer to the problem of the two coupled oscillators discussed in Section 12.2. Show that the total energy of the system is constant. (Calculate the kinetic energy of each of the particles and the potential energy stored in each of the three springs, and sum the results). Notice that the kinetic and potential energy terms that have k12 as a coefficient depend on C1 and w1 but not on C2 or w2. Why it such a result to be expected?