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\noindent Quiz 3

\noindent Math 226, Section 02

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\noindent Recall Newton's Law of cooling/warming:
$$
\frac{d\theta}{dt} = -k(\theta - T)
$$
where $\theta(t)$ is the temperature of an object as a function of time, $k>0$ 
is a constant, and $T$ is the ambient (or surrounding)
temperature.
\vskip .1in
\noindent{\bf Problem:}
You set a $20^\circ$ C pot of water on a burner heated to 
$200^\circ$ C.  After five minutes, you record the temperature of
the water to be $80^\circ$ C.  Assuming that Newton's Law 
applies, how long will it be (from the moment you put the pot on the
burner) til the water boils (i.e. reaches $100^\circ$ C)?


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