BC Problem Answers:

Problem #1

Problem #2

Problem #3

2005 BC Problem Answers

The answers for the 2005 BC Questions can be found on this site.

Prediction

I predict that I got a 4 or 5 on the AB calculus exam.

Advice

I took the AB exam because I felt more confident in the AB topics than in the BC topics, and I knew I wouldn't have a chance for a 4 or 5 if I took the BC exam. If you want to seriously take the BC exam, you should do a lot of extra practice problems at home to supplement what Mr. Block gives you in class. Just listening in class won’t be enough for a good AP grade.

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I will attend Northwestern University in Evanston Illinois, and plan to major in Biological Sciences.

My sister will be a freshman here and will be part of the class of 2009.

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Links

Fast-Autos.net Image Link 1 - The Box Problem. This site is very helpful, and tells you if you’re wrong or not. It has links to Graphical and Calculus methods to solve the problem, and shows which buttons to press on the calculator to make the graph correct.

Link 2 - The Volume of a Vase Problem. In this site, the interaction is through picking the appropriate points on the vase to make the equation applicable, and fit onto the vase’s profile. It takes a while since the more points there are the more accurate the equation will be. Also this site gives instructions on how to find the equation on your graphing calculator.

Link 3 - The Length of a Pipe Problem. This probleem is similar to the vase problem above. The coordinate points have to be plotted onto the graph

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Edit this file

Your browser does not support Java, so nothing is displayed.

After you have found a function that you are reasonably happy with that describes the curve formed by the car, discuss why it does not do as good a job as you might have hoped.

Then, fi nd the volume if that curve is rotated around the x-axis.

Now that you have coordinates from the applet,

Use the regression features of a graphing calculator to find a function that models the edge of the pipe. You may assume symmetry or do the curves piecewise. .
Set up the definite integral that length of the pipe.
Solve the integral using your calculator.
Write your answer with the appropriate units.
STOP! Think about the units of your function and the units of the actual pipe. Remember that the beam above is 1 foot high.
Convert your volume answer into units appropriate to the actual pipe.

Web Resources

Low end of the domain
High end of the domain
The function f(x)	Enter an algebraic expression defining the function f(x)