Fairbanks Temperature A model for the mean air temperature at Fairbanks, Alaska, is...

Fairbanks Temperature A model for the mean air temperature at Fairbanks, Alaska, is

where x is the number of days since the last day of the previous year.

(Source: B. Lando and C. Lando, “Is the Curve of Temperature Variation a Sine Curve?” The Mathematics Teacher, vol. 7, no. 6, September 1977, p. 535)

a. Write the amplitude and average values of this model.

b. Calculate the highest and lowest output values for this model. Write a sentence interpreting these numbers in context.

c. Calculate the period of this model. Is this model useful beyond one year? Explain.