Given the anti-causal signal x[n]= n u[n] (a) Determine its Z-transform X(z), and carefully plot the

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Given the anti-causal signal x[n]= −αn u[−n]

(a) Determine its Z-transform X(z), and carefully plot the ROC when α = 0.5 and α = 2. For which of the two values of α does X(e) exist?

(b) Find the signal that corresponds to the derivative dX(z)/dz. Express it in terms of α.

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