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

Question 481

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: U=T+(UOT)ekt\mathrm { U } = \mathrm { T } + \left( \mathrm { U } _ { \mathrm { O } } - \mathrm { T } \right) \mathrm { e } ^ { \mathrm { kt } } (Round your answer to two decimal places.)

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