Swaroop's Calculus Zone

2004 BC Problem Answers

This is why they call me Swaroop "Has the Answers" Hebbale. <

Prophecy

I predict that I shall recieve a 5 on the BC Calculus Exam because I did very well on the first multiple choice test, mediocre on the second multiple choice, and extremely well on the free-response section. 5555555555

Advice

Hello young child. I will offer you advice that you must heed closely. Listen to your teacher during class is the primary rule. Then do all the free response and multiple choice questions as you can. All the problems on the AP test are similar to years past so knowing how to the previous will help profoundly. Doing these things will spread the wings of your inner butterfly.

Wonderful World of Swaroop

I will be attending Harvard University in the fall. Psh. No I won't be. I will be attending the prestigious Troy Athens High School in the fall.

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 Problem of all Problems

Find the length of this "Inifinity Curve". Hint: perhaps a part of the curve is sinuosidal!