(Modeling) Solve each problem. See Example 5. Temperature in Fairbanks...

(Modeling) Solve each problem. See Example 5.

Temperature in Fairbanks Suppose the temperature in Fairbanks is modeled by

where T(x) is the temperature in degrees Fahrenheit on day x, with x = 1 corresponding to January 1 and x = 365 corresponding to December 31. Use a calculator to estimate the temperature on the following days. (Source: Lando, B. and C. Lando, “Is the Graph of Temperature Variation a Sine Curve?,” The Mathematics Teacher, vol. 70.)

(a) March 1 (day 60)

(b) April 1 (day 91)

(c) Day 150

(d) June 15

(e) September 1

(f) October 31