a) Let x(n) = (7)u(n) (8)u(n 1). Get X(z) with its ROC. Show solution...

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a) Let x(n) = (7)u(n) – (8)u(n − 1). Get X(z) with its ROC. Show solution details and do not rely on conversion tables. b) The z-transform of x(n) is X(z) = 1/(1+0.5=-¹), |=| ≥0.5. Determine the z-transforms X1 (=) of the following sequence and indicate its region of convergence (ROC). x1(n) = x(3-n) + x(n-3) c) The inverse z-transform of X(z) is x(n) = (1/2)* u(n). Using the z-transform properties, determine the x4(n) sequence of the following case: X4(=) = X(z)X(=¯¹) a) Let x(n) = (7)u(n) – (8)u(n − 1). Get X(z) with its ROC. Show solution details and do not rely on conversion tables. b) The z-transform of x(n) is X(z) = 1/(1+0.5=-¹), |=| ≥0.5. Determine the z-transforms X1 (=) of the following sequence and indicate its region of convergence (ROC). x1(n) = x(3-n) + x(n-3) c) The inverse z-transform of X(z) is x(n) = (1/2)* u(n). Using the z-transform properties, determine the x4(n) sequence of the following case: X4(=) = X(z)X(=¯¹)