Solve the Problem $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$

Short Answer

Solve the problem.
-A thermometer is taken from a room at 71°F to the outdoors where the temperature is 14°F. Determine what the
reading on the thermometer will be after 5 minutes, if the reading drops to 45°F after 1 minute. Assume the
cooling follows Newton's Law of Cooling: $\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } }$ (Round your answer to two decimal places.)