Show that a system with excitation x[n] and response y[n] described by

y[n] = nx[n],

is linear, time variant and static. Show that the system described by y[n] = x [−n]  is time variant, dynamic noncausal and BIBO stable. Show that the system described by y(t) = sin (x(t))  is nonlinear, time invariant, BIBO stable, static and causal. Show that the system described by y(t) = x (sin(t))  is linear, time invariant, BIBO stable and noncausal. 1Show that the system described by the equation y [n]  =  e   x [n]  is nonlinear, time invariant, BIBO stable, static, causal and invertible.  14Show that a system described by y(t) =  t   2 x (t − 1)  is time variant, BIBO unstable, causal, dynamic and noninvertible.