Dio takes a glass of cold milk. He thinks it was a bit too cold in the fridge, so he waits a
bit to drink it. He therefore puts the glass down on the table and waits until it has warmed
up a little. We assume that the temperature of the milk, T, as a function of time follows
Newton's law of cooling:
$\frac{dT}{dt} = k(T - a)$,
where a is the temperature of the surroundings, and k is a constant. We further assume that the temperature
of the surroundings is a = 25 (given in $^\circ$C), and that T(0) = 3 (given in $^\circ$C).
a) Vis at T(t) = 25 - 22e$^{kt}$ (gitt i $^\circ$C).
b) After 6 minutes the temperature of the milk is 7$^\circ$C. When is the temperature of the milk
10$^\circ$C?
