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For the process-control system in Figure 13, suppose that the relays close at |1.5| V and open at |1.1| V. This means that as the voltage on the relay reaches V, it closes, and does not open again until the voltage drops to 1.1 V (i.e., there is a deadband).

The amplifier has a gain of 10, the reference is 3 V, and the sensor outputs . Calculate the temperatures at which the heater turns on and off and at which the cooler turns on and off.

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