Q$2-$

a$)$ The systems given below have input x and output y $.$ Determine whether each of them is memorlyless, stable, causal, linear and time invariant.

i$.,y(t)=x(-t)$

ii$.,y(t)=x(\frac{t}{2})$

iii. $,x(t)=cos(2t)u(t)$

iv$.,y[n]=nx[n]$

b$)$ A discrete time signal $x[n]$ is defined by

Find $y[n]=x[2n+1]$