Find the Laplace transform of the following functions. For the graphs shown, write the expression in terms of singular functions:

$f(t)=20 e^{-2(t-2)} u(t-4) \) \( f(t)=10 t^{2} \delta(t-2)$

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Find the Laplace transform of the following functions. For the graphs shown, write the expression in terms of singular functions:

$f(t)=20 e^{-2(t-2)} u(t-4) \) \( f(t)=10 t^{2} \delta(t-2)$

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