Find the Laplace transforms of: 1. f(t)t cosh(at) 2. g(t) = sin(xt) 3. h(t) = f(t) + g(t)

Q: Do the Laplace transform of x(t) x(t) = (t + 1)²e¹u(t) + e-3t cos (t) u(t)

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Q: Using the derivative theorem, find the Laplace transform of the following functions

A: In this question we need to find a Laplace transform of the given signal.

Q: f(t) = t'g(t)

A: Sol:-We can use the formula: L-1F(s)=-1tddsL-1F(s) where F(s) = L(f(t)) and L-1 denotes the inverse…