In one cycle of operation, an engine that does not use the Carnot cycle takes in $7\mathrm{.}20104$ J of heat from a reservoir at $260$C$,$ does $2\mathrm{.}20104$ J of work, and rejects $5\mathrm{.}00104$ J of heat to a reservoir at $20\mathrm{.}0$C$.$ At the end of the cycle, the engine is in the same state as at the beginning of the cycle. Calculate the change in entropy in one cycle for the engine. Calculate the change in entropy in one cycle in the reservoir at $260$C$.$ Calculate the change in entropy in one cycle in the reservoir at $20\mathrm{.}0$C$.$ Calculate the change in entropy in one cycle in the system of engine and two reservoirs. Does the net entropy of the system increase, decrease, or stay the same?