1. Use the Laplace Transform table to transform the following functions: \text { a. } x(t)=\left\{\begin{array}{ll} 3 t^{2} & t \geq 0 \\ 0 & t<0 \end{array}\right. \text { b. } x(t)=\left\{\begin{array}{ll} 2+5 e^{-6 t} & t \geq 0 \\ 0 & t<0 \end{array}\right. \text { c. } x(t)=\left\{\begin{array}{ll} 4 \sin (2 t) & t \geq 0 \\ 0 & t<0 \end{array}\right. \text { d. } x(t)=\left\{\begin{array}{ll} 1-e^{-5 t} & t \geq 0 \\ 0 & t<0 \end{array}\right. \text { e. } x(t)=\left\{\begin{array}{ll} e^{-5 t} \cos (3 t) & t \geq 0 \\ 0 & t<0 \end{array}\right. \text { f. } x(t)=\left\{\begin{array}{ll} \cos [5(t-3)] & t \geq 0 \\ 0 & t<0 \end{array}\right.

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