2.4-5 The Energies of the two energy signals x(t) and y(t) are Ex and Ey, respectively. (a) If x(t) and y(t) are orthogonal, then show that the energy of the signal x(t) +y(t) is identical to the...

plz answer all parts of ques2.4(5)

Extracted text: 2.4-5 The Energies of the two energy signals x(t) and y(t) are Ex and Ey, respectively. (a) If x(t) and y(t) are orthogonal, then show that the energy of the signal x(t) +y(t) is identical to the energy of the signal x(1) – y(t), and is given by Ex + Ey. (b) if x(t) and y(t) are orthogonal, find the energies of signals c1x(t)+c2y(t) and c1x(t) – c2y(t). (c) We define Ey, the cross-energy of the two energy signals x(t) and y(t), as Exy = | x(t)y* () dt -00 If z(t) = x (t) + y(t), then show that Ez = Ex + Ey ± (Exy + Eyx)