f(t) = 7t² – te¬4t -s3+14s+56 -s³+14s² +224 а. F(s): с. F(s) %3D s4+4s3 s5+16s3 -s3+14s²+56 -s3+14s²+112s+224 b. F(s) d. F(s) s5+4s3 $5+8s4+16s³

Q: To find the Laplace transform of e^(6t)cos(at)you would substitute  into s/(a2+s2) which gives ?…

A:

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: Find the Laplace transform F(s)=L{f(t)} of the function f(t)=e^(−3t) cosh⁡(5t).

A: Laplace transform of the function, f(t)=cosh(at) is

Q: Part A how that L(tnf(t)) = (−1)n ((dnF(s))/(dsn)), where F(s) is the laplace transform of y(t). In…

A: Hi, It is multiple sub-parts, I am going to solve the first part only.

Q: Use the definition of the Laplace transform to find ℒ{f(t)} for f(t) = 2e^−3t Find the domain of the…

A: The explanation of the solution as follows: