Chapter 15, Problem 8P

(a)

To determine

Find the Laplace transform of the given function $f\left(t\right)=2tu\left(t-4\right)$.

(b)

To determine

Find the Laplace transform of the given function $f\left(t\right)=5\cos \left(t\right)\delta \left(t-2\right)$.

(c)

To determine

Find the Laplace transform of the given function $f\left(t\right)=e^{-t}u\left(t-\tau \right)$.

(d)

To determine

Find the Laplace transform of the given function $f\left(t\right)=\sin \left(2t\right)u\left(t-\tau \right)$.