Laplace transformation:

For each item below, plot the time domain function for t = [0;10]. Also for each one write the corresponding Laplace-domain equations. Use Table 3.1 to perform the Laplace transformation by hand.

• 

Table 3.1 Laplace Transforms for Various Time-Domain Functions 1. 6(r) (unit impulse) 2. S(r) (unit step) 3. 1 (ramp) 4. P- 5. e-ty 6. 12-/: ( >0) 8. 1 - its + ly (s + b, )(s + by) 10. (t,s+ 1)(t,s+ 1) 11. s+by by - b (s + b, Ms+ b,) (t,s+ 1)(tys + 1) 13. I met 12+ 1) 14. sin out 15, cos of 16, sin(or + $) m cos 6 + s singh 17. e- sin of b. real (s+ b) + w 18. e- sin our s+b (s+ by+ 19. -9/ sin( v1 - (1/t) 1 (0 SKI