Zach Chen's Calculus Web Page

2005 BC Problem Answers

Apparently it is a violation of copyright to show you the questions on this website, so no questions for you - only answers! Answers were found at this site.

Prediction

I think I gota 3 or a 4.

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Advice

I think you guys should pay attention in class and take notes.

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I'm attending University of Michigan in Ann Arbor, Michigan. I do not yet have an intended major.

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Links

Link 1 - The Box Problem. The site is very interactive with some fun applets and such. The directions are very step-by-step and it's pretty hard NOT to get the solution. If you pick a wrong choice, the box will pop up and let you know you're wrong. It has both the graphical and the calculus solutions.
Link 2 - The Volume of a Vase Problem. You use the cursor to pick points on the side of the vase, and then export the points into TI Interactive. Once there, you can easily get all the equations you need. There are directions on the site for setting up integrals with your calculator.
Link 3 - The Length of a Pipe Problem. Similar to the vase problem above. You pick the points and set up the integral like before. The directions listed on the site are the same as the vase problem. I didn't like this problem - it doesn't really make sense or work too well.

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