Amrita’s BC Calculus Page

6 BC Free Response Questions:

Part A:

Question 1 Answer 1

Question 2 Answer 2

Question 3 Answer 3

Part B:

Question 4 Answer 4

Question 5 Answer 5

Question 6 Answer 6

AP Prediction:

Advice:

College: University of Michigan

Some Challenge Problems:

Free Doughnuts

Find the formula that will give you the volume of the box for any given X. Then using the applications of derivatives, find the X value that will give the greatest volume. Hint: set derivative of Area formula equal to 0.

Volume of a Vase

Using the application, find the formula of the curve. Then, by rotating it around the axis, use integrals and the formula of area of a circle to find the volume of the vase.

Length of a Curve

Using the application, find the formula of the curve with the regression equation. Next, put it into an integral and solve to find the length of the curve.

Interactive Problem: Find the curve that matches the arch

The St. Louis Arch