Answer Happy

2. [-/1 Points] DETAILS Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral L(f(t)) = = L{f(t)} = -fe is said to be the Laplace transform of f, provided that the integral converges. Find (f(t)). (Write your answer as a function of s.) f(t) = et + 2 Need Help? Read It 3. [-/1 Points] DETAILS Use Definition 7.1.1, ZILLDIFFEQMODAP11 7.1.011. L{f(t)} = e-stf(t) dt L{f(t)} = = (s > 1) DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then the integral ZILLDIFFEQMODAP11 7.1.013. f*e- e-str(t) dt is said to be the Laplace transform of f, provided that the integral converges. to find {f(t)). (Write your answer as a function of s.) f(t)= test (s> 6)

4. [-/1 Points] DETAILS Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then the integral -e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. to find (f(t)). (Write your answer as a function of s.) f(t)= et sin t L(f(t)). Need Help? Read It M L(f(t)) = 5. [-/1 Points] DETAILS ZILLDIFFEQMODAP11 7.1.015. Use Definition 7.1.1. L {f(t)) = (s> -1) ZILLDIFFEQMODAP11 7.1.017. DEFINITION 7.1.1 Laplace Transform Let / be a function defined for t 2 0. Then the integral 2(())--t e-stf(t) dt is said to be the Laplace transform of f, provided that the integral converges. Find (f(t)). (Write your answer as a function of s.) f(t) = t cos t (s > 0)