Use properties of the Fourier transform in the following problems. (a) Use the Fourier transform of cos(kΩ

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Use properties of the Fourier transform in the following problems.

(a) Use the Fourier transform of cos(kΩ0t)to find the Fourier transform of a periodic signal x(t) with a Fourier series

x(t) = 1+(0.5)* cos(k2ot) k=1

(b) Find the Fourier transform of

х (0) %3D a > 0 2 t2 +a

by considering the properties of the transform.

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