Part $4$: System Classification

Question $6$: $(9$ marks$)$

Determine if the following systems are linear, time$-$invariant, causal, and$/$or memoryless. Carry on detailed analysis and then conclude your findings by updating the table below.

$($a$)y(t)=2x(t-3).$

$($b$)y(t)=x^2(t+2).$

$($c$)y(t)=tsin(x(t)).$

Signal in Linear Time$-$invariant Memoryless Causal

$($a$),Ye\frac{s}{N}o,Ye\frac{s}{N}o,Ye\frac{s}{N}o$ Yes$/$No

$($b$)$ Yes$/$No Yes$/$No Yes$/$No Yes$/$No

$($c$),Ye\frac{s}{N}o,Ye\frac{s}{N}o,Ye\frac{s}{N}o,Ye\frac{s}{N}o$