A PLC program is designed for maintaining tire inflated with air pressure between PA and PB, with the aid of an air pump and a discharge valve. Based on the designed ladder logic program, fill out the status of the valve, pump and relays in the following table according to the status of tire pressure and switch (A for activated and U for unactivated). Does this PLC work for the designed purposes? CR2-1 # CR-1 5. Coump switch battery pump CR3-1 valve valve tire Valve Pump CR-1 CR-2 CR-3 S: on S: on then off PA: on PA off CR-2 CR-3 P: on P: off (Bonus) For a simple R-C band filter, as shown in the figure, drive a governing equation for the relationship of input signal (e) and filtered signal e.). Assume R, R₂-R and C₁ = C₂-C. No solution of the equation is needed. R₁ C₂ C R₂