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Fourier transform: Plot the magnitude of the spectrum of the following signals

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Plot the magnitude of the spectrum of the following signals. Use properties of Fourier transform to help.

a. e^(-at) u(t), a>0
b. sinc(t) (sinc function)
c. e^(t) (u(t) - u(t-1))
d. sinc(t)*e^(-t)u(t) (where * denotes convolution)

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Plot the magnitude of the spectrum of the following signals. Use properties of Fourier transform to help.
Fourier transform of is .
a) ,

Given ,
w=[-30:0.1:30];
g=1./(1+1i*w);
plot(w,abs(g)/sqrt(2*pi));

b)
To find the ...

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