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Find the indicated Laplace transform or inverse Laplace transform by using the table of laplace transform: 3

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Find the indicated Laplace transform or inverse Laplace transform by using the table of laplace transform:

3. t", n 31, 2,3 Sin (a) 9. tsin (at) 11. sin (at) al cos (at) 13. cos (at) at sin (at) sin (at +b) 15 17. sinh (at) 19 e' sin (bt) 21 ed sinh (b) 23. t" ea", n 1,2,3,... 25 Heaviside Function 27 uc (t) (t-c) f (t) 29 f (t) 31 35. f (t) 37. ft) (t) O 2004 Paul Dawkins Table of Laplace Transforms S-a (p+1) 1.3.5...(2n-1)VT n -1,2,3 2s 2 s 8. COS at 2as 10. tcos (at) 2a 2as 12. sin (at) al cos (a) SIS at sin (at) cos (at) ssin (b) acos(b) scos (b)- asin (b) cos(at +b) 16 -a 18. cosh (at) S-a e cos (bt) 20 (s-a) +b (s-a) +b S-a 22 e cosh bt (s-a) b (s-a) -b 24. f(ct) S-a (t-c) 26. Dirac Delta Function e GF (s) 28 uc (t) g (t) F (s-c) 30 t'f (t), n 1,2,3 (-1) FOR (s) F (s 32. [T f (t)dt 34. f (t+T)- f() 1-e sh (s)- f(0) 36. f