Determine the z-transforms of the following signals and sketch the corresponding pole-zero patterns.

(a) x(n) = (l + n) u (n)

(b) x(n) = (aⁿ + a ^–n) u(n), a real

(c) x(n) = (-1)^a2^-nu(n)

(d) x(n) = (naⁿωsinω₀n)u(n)

(e) x(n) = (naⁿωcosω₀n)u(n)

(f) x(n) = Arⁿcos(ω0n + Ф)u(n). 0 < r < 1

(g) x(n) = ½ (n² + n)(1/3)^n-1 u (n -1)

(h) x(n) = (1/2)ⁿ [u (n) – u(n - 10)]