1.

Find the inverse Laplace transform for the function X(s) = ( frac{1+e^{-2s}}{3s^2+2s} ).

A. e<sup>-(2/3)t</sup> u(t) u(t) + e<sup>-(2/3)(t-2)</sup> u(t-2)-u(t-2)
B. e<sup>-(2/3)t</sup> u(t) + e<sup>-(2/3)(t-2)</sup> u(t-2)
C. e<sup>-(2/3)(t-2)</sup> u(t-2) u(t-2)
D. e<sup>-(2/3)t</sup> u(t) u(t)
Answer» B. e<sup>-(2/3)t</sup> u(t) + e<sup>-(2/3)(t-2)</sup> u(t-2)


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