A mathematical model for the temperature in Fairbanks is where T(t) is the temperature (in degrees Fahrenheit)

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A mathematical model for the temperature in Fairbanks is

where T(t) is the temperature (in degrees Fahrenheit) on day t, with t = 0 corresponding to January 1 and t = 364 corresponding to December 31. Use a calculator to estimate the temperature for (a)–(d).

(a) March 16 (Day 74)
(b) May 2 (Day 121)

(c) Day 250 

(d) Day 325
(e) Find maximum and minimum values of T.
(f) Find the period, T.

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