Q1)f(t) = { 10e^-t 0<t<1 }

-10^e-t t>1

Express the function in terms of the Heaviside unit step function and hence obtain its Laplace transform.

Q2) f(t) = 2 [u(t) –u(t – 4)]+ t u(t – 4)

= 2u(t) – 2 u(t – 4)+ t u(t – 4)

= 2u(t)+ ( t – 2 ) u(t – 4) <----- how to derive to this step, it was addition and now ts multiplication. explaination and guide pls.

Also does anyone know any good sites for Laplace transform read-up(not wiki) and exercises to practise. Unit step fuction sites too.. my notes explaination is not clear enough for me or i am just stupid.