Question

The temperature, T, in degrees Celsius, of a yam put into a 275 degrees Celsius oven is given as a function of time, t, in minutes, by the following formula.

T=a(1-e^(-kt))+b

If the temperature of the yam is initially 25 degrees Celsius, find a and b.
If the temperature of the yam is initially increasing at a rate of 2 degrees Celsius per minute, find k.

Answer 1

\[T=a(1-e^{-kt})+b\]