In each of the following case s, determine the Fourier transform, or inverse Fourier trans...

In each of the following case s, determine the Fourier transform, or inverse Fourier transform . Give your answer as a simple formula or a plot. Explain each answer by stating which property and transform pair you used.

(a) Find X(jω) when x(t) =

(b) Find s(t) when

S(jω) = 4πδ(ω)+2πδ(ω-10π)+2πδ(ω+10π)

(c) Find r(t) when

(d) Find Y(jω) when y (t) = δ (t + 1) + 2δ(t) + δ(t – 1)