The hourly temperature at portland, oregon, on a particular day is recorded below.
1 a. m. 2 3 4 5 6 7 8 9 10 11 12 noon
46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69°
1 p. m. 2 3 4 5 6 7 8 9 10 11 12 midnight
72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48°
a. find the amplitude of a sinusoidal function that models this temperature variation.
b. find the vertical shift of a sinusoidal function that models this temperature variation.
c. what is the period of a sinusoidal function that models this temperature variation?
d. use t = 0 at 5 p. m. to write a sinusoidal function that models this temp. variation.
e. what is the model’s temperature at 10 a. m.? compare this to the actual value?