Question

The temperature, T, in °C, of a yam put into a 275°C oven is given as a function of time, t, in minutes, by the following formula.
T = a(1 − e −kt) + b

(a) If the temperature of the yam is initially 17°C, find a and b.
(b) If the temperature of the yam is initially increasing at a rate of 2°C per minute, find k.