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AP Calculus Slides April 30, 2007
1.
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5. The graph of an object’s velocity during the interval 0 ≤ t ≤ 9 is shown
for questions 5 and 6.
(5) The object obtains its greatest speed at t =
(A) 2 (B) 3 (C) 5 (D) 6 (E) 8
(6) The object was at the origin at t = 3.
It returned to the origin
(A) at t = 5 (B) at t = 6 (C) at t = 7
(D) during 6 < t < 7 (E) during 7 < t < 8
6. The rate of consumption of cola in the United States is given by
where S is measured in billions of gallons per year and t is measured in years
from the begining of 1980.
(a) The consumption rate doubles every 5 years and the consumption
rate at the begining of 1980 was 6 billion gallons per year. Find C and
k.
(b) Find the average rate of consumption of cola over the 10-year time
period begining January 1, 1983. Indicate units of measure.
(c) Use the trapezoidal rule with four equal subdivisions to estimate .
(d) Using correct units, explain the meaning of in terms of
cola consumption.
7. The rate of consumption of cola in the United States is given by
where S is measured in billions of gallons per year and t is measured in years
from the begining of 1980.
(a) The consumption rate doubles every 5 years and the consumption
rate at the begining of 1980 was 6 billion gallons per year. Find C and k.
8. The rate of consumption of cola in the United States is given by
where S is measured in billions of gallons per year and t is measured in years
from the begining of 1980.
(b) Find the average rate of consumption of cola over the 10-year time
period begining January 1, 1983. Indicate units of measure.
9. The rate of consumption of cola in the United States is given by
where S is measured in billions of gallons per year and t is measured in years
from the begining of 1980.
(c) Use the trapezoidal rule with four equal subdivisions to estimate .
10. The rate of consumption of cola in the United States is given by
where S is measured in billions of gallons per year and t is measured in years
from the begining of 1980.
(d) Using correct units, explain the meaning of in terms of
cola consumption.
This integral represents the amount of cola
consumed in the USA between January 1, 1985 and
January 1, 1987 measured in billions of gallons.
