HW Question \#1: (Based on Book P-5.10) For each of the following systems, determine whether or not the system is (1) linear, (2) timeinvariant, and (3) causal: (a) y[n]=x[n+3]cos((3/4)(n4)) (b) y[n]=x[n]u[n] (c) y[n]=x[n]200x[n1]+x[n+2] (d) y[n]=Ax[n]+B, where A and B are nonzero constants. HW Question \#2: (Based on Book P-5.18) Suppose that three systems are connected in cascade. In other words, the output of S1 is the input to S2 and the output of S2 is the input to S3. The three system are specified by their difference equations as follow: S1:y1[n]=x1[n]+2x1[n3]S2:y2[n]=2x2[n1]+x2[n]S3:y3[n]=2x3[n]+4x3[n2] (a) Determine the impulse response hi[n] for each individual subsystem Si. (b) Determine the impulse response h[n] of the overall system such that y[n]=x[n]h[n]. (c) Write one difference equation that defines the overall system in terms of x[n] and y[n] only