3. (20 points) Consider the following signal.

x(t) =

sin(t) if 0≤tsa

0

a(t)

h

T

if t2 #

(1)

(a) Find the Laplace Transform of r(t).

(b) Next, we construct the following signal y(t) by using the signal r(t). Find the Laplace

Transform of y(t).

19/2)

fm.

27