Here are the answers to the 2003 AP BC Questions.

Doughnuts, using the derivative of the equation for the volume of a box to find the maximum volume.
rotate this vase by the x-axis to find the volume by the integral of the area.
find the length of a curve by the integral of the square root of (dx/dt)^2 and (dy/dt)^2.
the area under a curve or riemmen sum.
find the best fit equation for the line by using a graphing calculator
taylor's polynomial
equation of a circle.
explore exponential functions and their derivatives in depth. this is done in 5 parts
NEXT YEAR STUDENTS OF AP CALC BC: DO NOT PROCRASTINATE and enjoy.

www.umich.edu
rotate half of this image around the y-axis to find the volume.