Calculate the value of the derivative of the function y = sin x – 2x at the point x0 = 0.

We assume that the temperature of the heater and the temperature of the refrigerator are given on the Kelvin scale.

Efficiency of an ideal heat engine:

η = ((Tn – Tx) / Tn) * 100%, where Tn is the heater temperature (Tn = 3450 K), Tx is the refrigerator temperature (Tx = 1000 K).

Let’s do the calculation:

η = ((Tn – Tx) / Tn) * 100% = ((3450 – 1000) / 3450) * 100% = (2450/3450) * 100% = 0.71 * 100% = 71%.

Answer: The maximum efficiency of this machine is 71%.