2. a) Using the attached Laplace transform Table and its properties, find the Laplace transform of:
$x(t) = t^2u(t) + 2tu(t-1)$
b) Suppose the zero-input response of a LTI system due to an input $x(t) = 2\delta(t) + 3u(t)$ is $y(t) = (2+t)u(t)$.
Is this system BIBO stable? Please justify your answer.