For the range t<-1, the region where a(r)h(t-T)is non-zero is from -1-00. So, the expression for y(t)is given by T)(7 2(t-7)a-7 -rdr ezt 3 For the range t>-1, the (r)h(t-r)is non-zero for r>t. So the expression for y(t) is given by y(t)� � � � � � � � � � � � For the range t < −1, the region where x(� )h(t − � ) is non-zero is from −1 � ∗. So, the expression for y(t) is given by: y(t) = h(t − � )x(� )d� = e2(t−� ) e−�d� −1 −1 � � 1 �� 2t −3� = e e d� = e2t − e−3� −1 3 −1 1 2t+3 = e 3 For the range t → −1, the x(� )h(t − � ) is non-zero for � > t. So the expression for y(t) is given by: y(t) = h(t − � )x(� )d� = e2(t−� ) e−�d� t t � � 1 �� 2t −3� = e e d� = e2t − e−3� t 3 t 1 2t = e − e−3t 3 1 −t = e 3 10