Given a function si that is zero for negative t find a, Engineering Mathematics

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Given a function si that is zero for negative t find a

Question: 1. Given a function S(I) that is zero for negative t, find a relationship between S,(I) and So(l). Can this result beused to find a relationship between the real and imaginary parts of the Fourier transform of s(I)1

2. Evaluate the Fourier transform of cos5πt, starting with the Fourier transform of COS'l1'1 and using the time-scaling property.

3. Given that the Fourier transform of s(t) is S(f):

(a) What does the Fourier transform of ds/dt in terms of S(f)?

(b) What does the Fourier transform of

in terms of S(f)?

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Engineering Mathematics: Given a function si that is zero for negative t find a

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