5.8. Using Table 5.1 and z-transform properties, find the inverse z-transform for each of the following functions: a. X(z) = 5- 7z 3z z+1 z-0.5 b. X(z) = c. X(z) = 5z-5 d. X(z) (z -0.5) 3z +1.414z+1 z-2 -3z 8z 2z + + (z-0.8) (z -0.8)² -10 2-3 +2 z-1 2 + (z-1) z-0.75 5.9. Using the partial fraction expansion method, find the inverse of the following z-transforms: 1 z2-0.3% 0.24 a. X(z) Z b. X(z) (z - 0.2) (z + 0.4) Z c. X(z) (z+0.2)(z² - z + 0.5) z(z + 0.5) d. X(z) (z-0.1)²(z-0.6) 5.10. A system is described by the difference equation O y(n) 40.5y(n - 1) = 2(0.8)" u(n)