x(t) is a continuous-time real signal. Let x(t) and x(t) the even and the odd components of x(t) respectively. show the total energy E of x(t) is given by L .00 |_ a(t)dt = [ a (t)dt + [* x(t) dt 2. In signal analysis, scaling and shifting of a function are quite common. (a) Show that the functions x(t) and x(t - to) have the same areas and energies in other words L x (t-to)dt = x(r)dr (b) Show that L |_ a (at) dt = ||| x(T)dT