E13.3 Obtain the z-transform Y(z) for the response

y k( ) T k = T, k ≥ 0, where T is the sampling time,

(a) by using the definition X(z) = 0x(KT)zk, (b) by applying the property of differentiation in dX z-domain, Z{tx (1)}=-27 dx (2), given that dz Z{u(t)} = z-1