AP Calculus Slides April 30, 2007

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AP Calculus Slides April 30, 2007

  1. 1. 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
  2. 2. 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.
  3. 3. 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.
  4. 4. 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.
  5. 5. 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 .
  6. 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. (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.

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