1. Which of the following systems is stable? a) y(t) = log(x(t)) b) y(t) = sin(x(t)) c) y(t) = exp(x(t)) d) y(t) = tx(t) + 1 AnswerAnswer: b [Reason:] Stability implies that a bounded input should give a bounded output. In a,b,d there are regions of x, for which y reaches infinity/negative infinity. Thus the…