For each of the following difference equations (i) (ii) (iii) use the method of recursion to solve the following problems: (a) Compute y[n] for when for all n and (b) Compute y[n] for when and (c) Compute y[n] for when and y[-1] = 2. x[n] = u[n]n = 0, 1, 2, y[-1] = 0.x [n] = u[n]n = 0, 1, 2, y[-1] = 2.x [n] = 0n = 0, 1, 2, y[n + 1] - 0.8y[n] = x[n] y[n + 1] + 0.8y[n] = x[n]

An ideal otto cycle with air as the working fluid has a compression ratio of 8. the minimum and maximum temperatures in the cycle are 300 k and 1340 k. use constant specific heats at room temperature to determine (a) the amount of heat transferred to the air during the heat- addition kj/kg, (b) the thermal efficiency, and (c) the thermal efficiency of a carnot cycle ope limits. process, in rating between the same temperature