A system may or may not be:

1.) Memoryless
2.) Time Invariant
3.) Linear
4.) Casual
5.) Stable
Determine which of these properties hold and which do not hold for each of the following continuous-time systems. Justify your answers. In each example, y(t) denotes the system output and x(t) is the system input.

a.) y(t)=x(t-2)=x(2-t)
b.) y(t)=[cos(3t)]x(t)
c.) y(t)=\int2t-infinity(x(?t)dt
d.) y(t)=0 for t<0 & x(t)+x(t-2) for t>or=0
e.) y(t)=0 for x(t)<0 & x(t)+x(t-2) for x(t)>or=0
f.) y(t)=x(t/3)
g.) y(t)=dx(t)/dt