1. 1/s2, s>0
2. 2/s3, s>0
3. e/(s−3), s>3
4. s/(s2+1), s>0
5. 1/(s2−1), s>1
6. 12[1/s−s/(s2+4)], s>0
7. (1−e−s)/s, s>0
8. (e−s−e−2s)/s, s>0
9. (1−e−s−se−s)/s2, s>0
10. (s−1+e−s)/s2, s>0
11. 12π−−√s−3/2+3s−2, s>0
12. (45π−192s3/2)/(8s7/2), s>0
13. s−2−2(s−3)−1, s>3
14. 3π−−√/(4s5/2)+1/(s+10), s>0
15. s−1+s(s2−25)−1, s>5
16. (s+2)/(s2+4), s>0
17. cos2 2t=12(1+ cos 4t); 12[s−1+s/(s2+16)], s>0
18. 3/(s2+36), s>0
19. s−1+3s−2+6s−3+6s−4, s>0
20. 1/(s−1)2, s>1
21. (s2−4)/(s2+4)2, s>0
22. 12[s/(s2−36)−s−1]
23. 12t3
24. 2t/π−−−√
25. 1−83t3/2π−1/2
26. e−5t
27. 3e4t
28. 3 cos 2t+12sin 2t
29. 53sin 3t−3 cos 3t
30. −cosh 2t−92 sinh 2t
31. 35 sinh 5t−10 cosh 5t
32. 2u(t−3)
37. f(t)=1−u(t−a). Your figure should indicate that the graph of f contains the point (a, 0), but not the point (a, 1).
38. f(t)=u(t−a)−u(t−b). Your figure should indicate that the graph of f contains the points (a, 1) and (b, 0), but not the points (a, 0) and (b, 1).
39. Figure 10.2.8 shows the graph of the unit staircase function.