Suppose the rate of gasoline consumption in the United States can be modeled by a sinusoidal function of the form ( 11.21 − cos ( π t 6 ) ) × 10 9 gal/mo . a. What is the average monthly consumption, and for which values of t is the tale 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).
Suppose the rate of gasoline consumption in the United States can be modeled by a sinusoidal function of the form ( 11.21 − cos ( π t 6 ) ) × 10 9 gal/mo . a. What is the average monthly consumption, and for which values of t is the tale 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).
Suppose the rate of gasoline consumption in the United States can be modeled by a sinusoidal function of the form
(
11.21
−
cos
(
π
t
6
)
)
×
10
9
gal/mo
.
a. What is the average monthly consumption, and for which values of t is the tale 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).
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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