Quiz 2

EE-202, Section 1

1. (4 pts) Compute a representation of f1 (t) as a sum of basic functions. 2. (3 pts) Compute F1 (s)

Solution.

4 K 4 Ke s f1 (t) 4Kr(t) 4Kr(t 1) . Therefore, F1 ( s ) 2 . s s2

EE-202, Section 2

1. (a) (4 pts) Express f (t) as a sum of one shifted step and two shifted ramps. 2. (b) (3 pts) Find the Laplace transform of f (t) .

Solution.

f (t) 2u(t 2) 0.5r(t 2) 0.5r(t 8) . Therefore, F ( s )

2 e2s 0.5 e2s 0.5 e8s s s2 s2