According to Newton’s law of cooling, the temperature T of a body at time t is given by 
, where 
is the ambient temperature, 
is the initial temperature, and k is the cooling rate constant. For a certain type of beverage container, the value of k is known to be 
.
a. Assume that 
=36°F exactly and that 
=72.0 ± 0.5°F. Estimate the temperature T at time t=10 min, and find the uncertainty in the estimate.
b. Assume that =72°F exactly and that =36.0 ± 0.5°F. Estimate the temperature T at time t=10 min, and find the uncertainty in the estimate.
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