PROBLEM 1(18%) For the questions in this problem, no explanation is necessary. Consider the following three systems SYSTEM A: y(t)=r(t+2)sin(at +2), where w+0 SYSTEMB8=()(间+ SYSTEM C:=∑(2k+1-(l where and y are the input and output of each system. Circle YES or NO for each of the following questions for each of these three systems SYSTEM A SYSTEM B SYSTEM C Is the system linear YES NO YES NO YES Is the system time invariant YES YES NO YES Is the system causal? YES NO YES Is the system stable YES� � PROBLEM 1 (18%) For the questions in this problem, no explanation is necessary. Consider the following three systems: SYSTEM A: y(t) = x(t + 2)sin(�t + 2), where � =→ 0 1 �n SYSTEM B: y[n] = − (x[n] + 1) 2 n SYSTEM C: y[n] = � x2 [k + 1] − x[k] � k=1 where x and y are the input and output of each system. Circle YES or NO for each of the following questions for each of these three systems. SYSTEM A SYSTEM B SYSTEM C Is the system linear ? Is the system time invariant ? Is the system causal ? Is the system stable ? YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO YES NO 2