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Question 6. (a) Find the Laplace transform of $f(t) = te^{-2t}sin(3t)$. (b) Find the Laplace transform of $g(t) = (u(t-1)(t^2 - 2t)) * cos(3t)$ (here * means convolution). (c) Find the Inverse Laplace transform of $F(s) = frac{-4s+5}{s^2 - 7s + 12}$. (d) Find the Inverse Laplace transform of $G(s) = frac{e^{-3s}}{s^2 + 2s + 2}$.

          Question 6.
(a) Find the Laplace transform of $f(t) = te^{-2t}sin(3t)$.
(b) Find the Laplace transform of $g(t) = (u(t-1)(t^2 - 2t)) * cos(3t)$ (here * means convolution).
(c) Find the Inverse Laplace transform of $F(s) = frac{-4s+5}{s^2 - 7s + 12}$.
(d) Find the Inverse Laplace transform of $G(s) = frac{e^{-3s}}{s^2 + 2s + 2}$.

$Question 6. (a) Find the Laplace transform of f(t) = te^-2tsin(3t). (b) Find the Laplace transform of g(t) = (u(t-1)(t^2 - 2t)) * cos(3t) (here * means convolution). (c) Find the Inverse Laplace transform of F(s) = frac-4s+5s^2 - 7s + 12. (d) Find the Inverse Laplace transform of G(s) = frace^-3ss^2 + 2s + 2.$

Added by Maurice J.

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