Der. App Word Problems
Motion Problems: Position, Velocity, and Acceleration
4) AP Free Response Questions
AP questions: Motion along a line WS – derivatives only
2010 (Form B) Q6 - Given a position equation - parts a, b, and c
2010 (Form B) Q4 - Given v(t) as a graph - part a and b
2007 Q4 - part a
2005 (Form B) Q3 - parts a and b
2004 Q5 - parts a, b, and c
2003 Q2 - Given v(t) as an equation - parts a and b
2003 (Form B) Q4 - Given v(t) as an equation - parts a, b, and c
2002 Q3 - Given v(t) as an equation - part a and b
2000 Q2 - Given v(t) as a graph and as an equation - parts a & b
1999 Q1 - Given v(t) as an equation - parts a & b
1998 Q3 - Given v(t) as an equation and as a table - parts a, b and c
Optimization
6) Applied Max./Min. Problems or Optimization Problems
Explanation:
Videos:
Worldwide Center of Mathematics: Optimization (best example at 46:50
Hollis: applied optimization problems: slides 1, 3, and 4 (slide 2 is more advanced)
Khan: Optimization with Calculus 1: minimize x^2 + y^2 if xy = -16
Khan: Optimization with Calculus 2: open box problem
Khan: Optimization Example 4: minimum cost of an open box
Websites: Optimization Problems from Visual Calculus: website with to help with visualization
Java applets illustrating the solution to finding the maximum area of a rectangle which can be inscribed in a semicircles
Java applet illustrating the solution to finding the longest ladder which can be carried through a hallway with a corner.
Java applet illustrating the solution to finding the shortest time to move through the desert to a town.
Java applet illustrating the solution to finding the shortest ladder that can lean over a fence against a building.
Practice Problems
Related Rates
9) Related Rates
Explanation:
Website: Animated gifs or quicktime movies that are visually represented of different related rates problems
Videos:
Hollis (start watching at 9:50 to 13:11 and 16:45-20:13)
Worldwide Center of Mathematics: related rates (41:53)
Khan Video: Rates of change (part 2): area of expanding circle
Khan Video: Ladder rate of change problem
Khan Video: Introduction to rate-of-change problems: cone problem
AP Free Response:
Practice Problems: