Question: Please help in Laplace Transform problem. Thank you. 2. (a) Find and classify the singularities of f ( s) = s(Vs+1+1) in the extended complex

Please help in Laplace Transform problem. Thank you.

2. (a) Find and classify the singularities of f ( s) = s(Vs+1+1) in the extended complex plane C, and hence sketch the complex contour you would employ to find the inverse Laplace transform F(t) = C-1{f (s) } using the Complex Inversion Theorem. Be sure to show and label all singularities and any branch cuts you find it convenient to define. (b) Find and classify any singularities on any other Riemann sheets. Do these contribute to the Laplace inversion? Explain. (c) Carry out the inversion of f (s) using the Complex Inversion Theorem. (d) Plot F(t) over 0

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