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Find the Laplace transform of the following functions. (a)  f (t)  =  { 6 0  < ...

Find the Laplace transform of the following functions.
(a) f (t)  = 
{ 6 0  <  t  ≤  4
8 t  ≥  4
(b) f (t)  = 
{ t2 0  ≤  t  <  3
0 t  ≥  3
(c) f (t)  = 
{ 0 0  ≤  t  <  π/4
cos[7(tπ/4)] t  ≥  π/4

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