Newton’s law of cooling says that the temperature of a body changes at a rate proportional to the difference between its temperature and that of the surrounding medium (the ambient temperature), 

dT/dt = – k(T – Ta)

Where T = the temperature of the body (^oC), t = time (min), k = the proportionality constant (per minute), and T_a = the ambient temperature (^oC). Suppose that a cup of coffee originally has a temperature of 68^oC. Use Euler’s method to compute the temperature from t = 0 to 10 min using a step size of 1 min if T_a = 21^oC and k = 0.017/min.