8. Find the Laplace transform of the function f(t). ft) = 4 if 0St 0)...

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8. Find the Laplace transform of the function f(t). ft) = 4 if 0St<2; f() = 0 ift22 3 Click the icon to view a short table of Laplace transforms. F(s) = 3: A Short Table of Laplace Transforms f(t) F(s) (s > 0) 1 (s > 0) n! t" (n2 0) (s > 0) Г(а+ 1) * (a> - 1) (s > 0) +1 (s > a) at S-a cos kt (s > 0) k sin kt s +k? (s > 0) cosh kt (s > |kl) k (s > |kl) sinh kt -as u(t - a) (s > 0) n! (s> a) (s-ajn+1 s-a at cos kt (s>a) (s-a)? +k? k at sin kt (s>a) (3 - a) +k? 8. Find the Laplace transform of the function f(t). ft) = 4 if 0St<2; f() = 0 ift22 3 Click the icon to view a short table of Laplace transforms. F(s) = 3: A Short Table of Laplace Transforms f(t) F(s) (s > 0) 1 (s > 0) n! t" (n2 0) (s > 0) Г(а+ 1) * (a> - 1) (s > 0) +1 (s > a) at S-a cos kt (s > 0) k sin kt s +k? (s > 0) cosh kt (s > |kl) k (s > |kl) sinh kt -as u(t - a) (s > 0) n! (s> a) (s-ajn+1 s-a at cos kt (s>a) (s-a)? +k? k at sin kt (s>a) (3 - a) +k?