Find the inverse Laplace transforms of the following functions: A) e-4s s(s+3)* F(s) = B) s2-17 G(s) = %3D $3+12s

writing the given quadratic s^2 +6s + 10 in the form (s+a)^2 + B^2 (that is to complete the square).  I then want to compute the inverse Laplace transform of the function   (s+1) / (s^2+6s+10). Thank you so much for the help.

please send complete handwritten solution Q8

Apply the translation theorem to find the inverse Laplace transform of the following function. F(s) = %3D 2s - 16 Click the icon to view the table of Laplace transforms. L-^{F(s)} =O (Type an expression using t as the variable.)

Find the Fourier Transforms of the indicated function:f (x) = xe-|x|

Pls help ASAP

Find the Fourier cosine transform of e-x.