0. PROJECT. Comments on Sec. 6.2. (a) Give reasonswhy Theorems 1 and 2 are more important thanTheorem 3. (b) Extend Theorem 1 by showing that if f(o is continuous, except

for an ordinary discontinuity (finite jump) at some t = a(>0), the other conditions remaining gas in Theorem 1. then (see Fig i17) \left(1^{*}\right) \mathscr{L}\left(f^{\prime}\right)=s \mathscr{S}(f)-f(0)-[f(a+0)-f(a-0)] e^{-a s} \text { (c) Verify }\left(1^{*}\right) \text { for } f(t)=e^{-t} \text { if } 0