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1. Find the Laplace transform of a.) f(t)=u(t−4)⋅e^t F(s)= 2. Find the inverse Laplace transform of...

1. Find the Laplace transform of

a.) f(t)=u(t−4)⋅e^t

F(s)=

2. Find the inverse Laplace transform of

a.) F(s)=2e^(−3s)−e^(−2s)−3e^(−6s)−e^(−9s)/s

f(t) =

b.) F(s)=e^(−6s)/s^2−3s−10

f(t) =

c.) F(s)=4e^(−9s)/s^2+16

f(t) =

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