Hi. Here's another problem:
A thermometer reading 70 is placed in an oven preheated to a constant temp. Through a glass window in the oven door, an observer records that the oven reads 110 after .5 minutes, and 145 after 1 minute. How hot is the oven?
So I begin by listing the given information:
(1)
(2)
(3)
A one parameter family of solutions to Newton's Law is
where
is the constant temperature of the surroundings - in this case, the oven.
So, it seems like I would proceed by setting up and solving a system of three equations in three unknowns. Is this the correct method?