?Suppose the rate of gasoline consumption in the United States can be modeled by a
Chapter 5, Problem 199(choose chapter or problem)
Suppose the rate of gasoline consumption in the United States can be modeled by a sinusoidal function of the form \(\left(11.21-\cos \left(\frac{\pi t}{6}\right)\right) \times 10^{9} \mathrm{gal} / \mathrm{mo}\).
(a) What is the average monthly consumption, and for which values of t is the rate at time t equal to the average rate?
(b) What is the number of gallons of gasoline consumed in the United States in a year?
(c) Write an integral that expresses the average monthly U.S. gas consumption during the part of the year between the beginning of April (t=3) and the end of September (t=9).
Text Transcription:
(11.21-cos (pi t/6)) times 10^9 gal/mo
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