x[n] is shown in the figure below. Sketch the sequences x₁ [n] and x₂ [n] specified as: x₁ [n] = x((n − 2))4R₁ [n] x₂ [n] = x((-n))4R₁[n] x (n) II.... 0 1 2 3

BC:5.4 Let x[n] represent the number of automo- biles produced by a factory on a given day, n. Let the inventory (total number of completed cars at the factory) at the end of day n be represented by q[n]. Each day the factory ships 5/6 of the previous day's inventory and holds the remaining 1/6 of the previ- ous day's inventory for one full day of driving tests. The cars being tested on day n are included in the inventory count for day n. The day after testing, all of the tested cars are shipped. Let y[n] represent the number of cars shipped on day n. Specify a flow di- agram and a difference equation (in standard form) that describe together the number of cars shipped as a function of number of cars produced and the history of the number of cars shipped.