Use the definition of the LaplaL{x(t)} = _(0)^() x(t)e^st dt Substituting x(t) into the equation, we get: L{x(t)} = _(0)^() e^(-t)sin(0t)e^st dt Let's simplify this to: L{x(t)} = _(0)^() e^(t(s-))sin(0t) dt This integral is a standardce transform to determine the Laplace transform, including its ROC, for the following examples. Identify the signal as right-sided, left-sided, or two-sided and draw the pole-zero diagram, including the ROC. (8 points each, 16 points total) (a) x(t) = tetu(t), where is a real-valued constant (b) x(t) = et sin(0t)u(t), where and 0 are real-valued constants