Consider the signal x(t)=10+10cos(2π(100)t+π/2)+20cos(2π(150)t−π/4). (a) Is the signal x(t) periodic? If so, what is the fundamental period? (b) Using the inverse Euler's relation, express x(t) as a sum of complex exponential signals using the finite Fourier synthesis summation xN(t)=∑k=−NNakej(2πf0)kt. Determine values for f0,N, and all the complex amplitudes ak. Note: It is not necessary to evaluate any integrals to obtain ak. (c) Plot the spectrum of x(t) vs. frequency f in Hz.