Find the z-transform of (a) x[n]-au-n-1] (b) x[n]-a "u-n-1] Find the z-transforms of the following x[n]: (a) x[n]-(n-3)u[n-31 (b) x[n]-(n-3)u[n] (c) x[n]-u[n]-u[n-3] (d) x[n]-n(u[n]-[n-3] A finite sequence x[n] is defined as x[n] (5,3,2,0,4,-3) Find X(z) and its ROC. Find the z-transform X(z) and sketch the pole-zero plot with the ROC for each of the following sequences: (a) x[n)-(u[n]+ (3)"u[n] (b) x[n)-()u[n]+()ul-n-1) (c) x[n]-(u[n]+()ul-n-1] Let x[n]-am a>0 (a) Sketch x[n] for a < 1 and a > 1. (b) Find X(z) and sketch the zero-pole plot and the ROC for a 1.