Final answer:
The minimum temperature in the office is 13°C and the maximum temperature is 25°C, as determined by the sinusoidal function that controls the thermostat.
Step-by-step explanation:
The minimum and maximum temperatures in the office can be found by examining the amplitude and the midline of the sinusoidal function. The function for temperature in the office given is y = 19 + 6 sin(π/12 (x - 11)), where y is the temperature in degrees Celsius and x is the time in hours past midnight.
The midline of the function is 19°C, which represents the average temperature. The amplitude of the sinusoidal function is 6°C, which indicates how much the temperature fluctuates above and below the midline.
To find the maximum temperature, we add the amplitude to the midline: 19°C + 6°C = 25°C. Conversely, to find the minimum temperature, we subtract the amplitude from the midline: 19°C - 6°C = 13°C.
Therefore, the minimum temperature in the office is 13°C and the maximum temperature is 25°C.