Question: A researcher models the temperature T (in C) during the time period from 6 A.M. to 6 P.M. in a certain northern city by the

A researcher models the temperature T (in C) during the time period from 6 A.M. to 6 P.M. in a certain northern city by the function


T(t) = 3 = (t - 5) 3 for 0 t 12


where t is the number of hours after 6 A.M.


a. What is the average temperature in the city during the workday, from 8 A.M. to 5 P.M.?


b. At what time (or times) during the workday is the temperature in the city the same as the average temperature found in part (a)?

T(t) = 3 = (t - 5) 3 for 0 t 12

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