P-3.8 Consider the signal x(t)=8+10cos(2(100)t+ 4 1 )+20cos(2(250)t) (a) Using Euler's relation, the signal x(t) defined above can be expressed as a sum of complex exponential signals using the finite Fourier synthesis summation (3.37) Determine values for f 0 ,N, and all the complex amplitudes, a k . It is not necessary to evaluate any integrals to obtain a k . (b) Is the signal x(t) periodic? If so, what is the fundamental period? (c) Plot the spectrum of this signal versus f in H