The signal m(t) = 5cos(20πt) is fed into an FM modulator, and the output u(t) = 5cos[1000πt + 16π ∫ m(τ)dτ t −∞ ] is obtained. If the output of the modulator is passed through an ideal BPF with a center frequency of fc = 500 Hz and a bandwidth of 70 Hz, determine and plot the power of the frequency components at the output. (40p).