please derive the answer for question s 4,7 and 8 only as circled in the picture. please clearly show step by step for easy understanding thank you

Derive and verify the Laplace transforms for the following Time-Domain Functions. Either handwritten or word form are accepted. f(t)F(s) 1. (t) (unit impulse) 2. S(t) (unit step) 3. t (ramp) (4.) tn1 5. ebt 6. 1et/ (7.) (n1)!tn1ebt(n>0) (8.) n(n1)!1tn1et/ 9. b1b21(eb2teb1t)