In the following, the letters x and y are used to represent the input signal and...

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In the following, the letters x and y are used to represent the input signal and the resulting output signal for different systems. (a) yı(t) = cos(xi(t)) (b) y2(t) = x2(cos(t)) (c) ya(t) = (1-12)x3 (21) (d) ya(t) = x₁(7) dr (e) ys(t)= #xs(7)|mt (f) Ye[n] =x6[-n] (g) y7[n] = log |x7[n+1]| (h) ys[n] = xs [n] * xg [n] For each one of the systems given above answer the following five questions. (i) Does the system have memory? (iv) Is the system linear? (ii) Is the system causal? (iii) Is the system (BIBO) stable? (v) Is the system time invariant? In the following, the letters x and y are used to represent the input signal and the resulting output signal for different systems. (a) yı(t) = cos(xi(t)) (b) y2(t) = x2(cos(t)) (c) ya(t) = (1-12)x3 (21) (d) ya(t) = x₁(7) dr (e) ys(t)= #xs(7)|mt (f) Ye[n] =x6[-n] (g) y7[n] = log |x7[n+1]| (h) ys[n] = xs [n] * xg [n] For each one of the systems given above answer the following five questions. (i) Does the system have memory? (iv) Is the system linear? (ii) Is the system causal? (iii) Is the system (BIBO) stable? (v) Is the system time invariant?