Chapter 15, Problem 5P

(a)

To determine

Find the Laplace transform of the given function $t^2\cos \left(2t+30°\right)u\left(t\right)$.

(b)

To determine

Find the Laplace transform of the given function $3t^4{e}^{-2t}u\left(t\right)$.

(c)

To determine

Find the Laplace transform of the given function $2tu\left(t\right)-4\frac{d}{dt}\delta \left(t\right)$.

(d)

To determine

Find the Laplace transform of the given function $2e^{-\left(t-1\right)}u\left(t\right)$.

(e)

To determine

Find the Laplace transform of the given function $5u\left(\frac{t}{2}\right)$.

(f)

To determine

Find the Laplace transform of the given function $6e^{-\frac{t}{3}}u\left(t\right)$.

(g)

To determine

Find the Laplace transform of the given function $\frac{d^n}{d{t}^n}\delta \left(t\right)$.