Determine if signal x(t) = 2 cos 2f1t+4 sin 2f2t is energy or power type signal for f1 = f2 and f1 = f2. Please calculate the energy and power for...

1.Determine if signal x(t) = 2 cos 2πf1t+4 sin 2πf2t is energy or power type signal for f1 = f2 and f1 ̸= f2. Please calculate the energy and power for the signal to support your answers.

2. State the definition of Fourier series. Calculate the Fourier series coefficients for x(t) =

cos(2πf0t), explain the Parseval theorem.

3.State the definition of Fourier transform. Calculate the Fourier transform for x(t) =

cos(2πf0t). Find the relationship of the Fourier transform and Fourier series coefficients

for x(t).

4.. Find sinc(t) ⋆ sinc(t), please specify which Fourier transform property you have used.