2004 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.

Problem #1 & #2

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Problem #3 & #4

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Problem #5

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Problem #6

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Advice

in order to master CALCULUS BC, you must have the crucial knowledge of the der, and fully understand the chain rule. otherwise, rest of the year will be a disaster!!

Me

currently studying atMichigan State University in East Lansing, Michigan.

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.
• Link 4 - The Area of Virgina Problem. Currently, the "interactive map" of Virginia isn't working. It appears to be similar to the two problems above, where you can plot points. It uses a program called MAPLE, which seems similar to TI Interactive. It covers Simpson's, Trapezoidal and other methods.
• Link 5 - Isn't working????
• Link 6 - The Taylor Polynomial Helper Thing. If you put in the function and the derivatives, it calculates the spiffy taylor polynomial.
• Link 7 - Conic Section Applet. It isn't working at the moment, but it appears that if you enter an equation it'll rotate it and show a conic section.
• Link 8 - Exponential Functions and Derivatives. It has a fun applet and directions on how to find the derivatives. Pretty easy to figure out.

The Original Problem

Assume this tree is 25 feet tall. Figure out the volume of the trunk. The diameter is probably around 2 feet across. Go. Do calculus. Or, if you want, you can go outside and hug a tree. The tree will be so grateful it will pardon you and you will not have to do this lame problem.