APPLICATIONS OF SINUSOIDAL FUNCTIONS
1. The average monthly temperature in the Kalamazoo, Michigan can
be modeled by the function ,
where is the temperature in degrees Farenheit and is the
month of the year. Graph the function for one year and answer the
questions that follow. Note: represents January.
a) What is the range of the function?
b) In which month does Kalamazoo reach its maximum
temperature?
c) What is the average monthly temperature in April?
d) In which months is the temperature ?
2. A buoy rises and falls as it rides the waves. The displacement of the
buoy can be modeled by the function , where
h
is
the displacement in meters and
t
is the time in seconds. Graph the
function for the first 20 s and answer the questions that follow.
a) What is the range of the function?
b) What is the buoy’s displacement after 7 s?
c) When will the buoy first be 0.6 m under water?
