(a) Find E*(s) , for T = 0.1 s , for the two functions below. Explain why the two transforms are equal, first from a time-function approach, and then from a pole–zero approach.

(i) e₁(t) = cos(4πt)

(ii) e₂ (t) = cos(16πt)

(b) Give a third time function that has the same E*(s) .