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2000 AP Calculus AB Free Response Question

Finding the Volume, Area, and Cross-Section of the Shaded Region. 2000 AP Calculus AB Free Response Question. By: Hillary Alexandra Ramirez Ms. Zhao Pd. 2 & 3. That problem looks COMPLICATED!. It really isn’t! All you need to do is take it step by step!. Part A:.

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2000 AP Calculus AB Free Response Question

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  1. Finding the Volume, Area, and Cross-Section of the Shaded Region. 2000 AP Calculus AB Free Response Question By: Hillary Alexandra Ramirez Ms. Zhao Pd. 2 & 3

  2. That problem looks COMPLICATED! It really isn’t! All you need to do is take it step by step!

  3. Part A: Find the area of the region R. The question is asking you to find the area of the shaded region.

  4. Solving for Part A:

  5. Solving for Part A:

  6. Part B: Find the volume of the solid generated when the region R is revolved about the x-axis. You remember the Washer Method..... The volume (V ) of a solid generated by revolving the region bounded by y = f(x) and y = g(x) on the interval [ a, b] where f(x) ≥ g(x), about the x-axis is

  7. Solving for Part B:

  8. Part C: The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Find the volume of this solid. If the base of the region is b = and the cross section is a square, then the volume of the square is equal to b (squared), like length * width. So therefore the equation would be...

  9. Solving for Part C:

  10. You have completed the 2000 AP Calculus AB ExamFree Response Question #1!!

  11. See, it wasn’t that bad! If you know the concept you will be able to solve any AP Calculus problem! Bye-Bye!!

  12. Citations: • www.collegeboard.com • Google.com/images

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