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Home > AP Courses and Exams > Course Home Pages > AP Calculus Featured Question

AP Calculus Featured Question

The Calculus Featured Question is designed to enhance conceptual understanding of topics in AP Calculus. While not routine, these questions will be useful in the classroom as enrichment activities. Students and teachers will have the opportunity to use technology on some parts of the question to gain insight into the underlying mathematics. Some questions will use standard techniques while others will introduce methods not typically seen in AP Calculus. We hope you find this feature interesting. We'd also like to know how you use these questions in your teaching -- please send your feedback to
Ben Klein, the editor of the AP Calculus Featured Question collection and writer of the recent questions.

Question Archive
2005
  August: The Car from 2005 AB/BC5
  July: Polar Coordinates and Conic Sections
  June: A Graphically Presented Derivative: AB/BC4 from 2003
  May: A Polar Coordinate Problem: BC3 from 2003
  April: The Piecewise-Defined Functions of 2003 AB5 and Some of Their Relatives
  March: The Coffeepot from 2003 AB5/BC5
  February: 2003 AB1/BC1
  January: Solving Systems of Differential Equations: 1994 BC6

2004
  December: Differential Equations and Infinite Series: BC6 from the 2003 Examination
  November: Theorems About Limits with Applications
  October: What's My Cubic? -- AB5 from the 2001 Examination
  September: AB2: The Area-Volume Problem on the 2004 AB Examination
  August: The Particle from 2004's AB3
  July: The Area Problem in 2004's Form B AB6, BC6
  June: 1997 AB6, BC6: The Skydiver
  May: An Alternative Solution Method for 1988 AB6
  April: Revisiting the Leaky Tank from 2000 AB4
  March: Limits of Definite Integrals
  February: Who Moved My Asymptotes?
  January: The Two Runners: 2000 AB2/BC2 Revisited

2003
  December: Fun Investigations with a CAS: Third-Degree Polynomials, Part 2
  November: Fun Investigations with a CAS: Third-Degree Polynomials
  October: What's Normal for a Quadratic?
  September: Is There Anything Remaining from the Remainder Theorem?
  August: Finding Roots
  July: Calculus with Compass and Straight Edge?
  June: Neighborhoods of Infinity
  May: Learning from Mistakes -- Cylindrical Shells



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