Solution to #12 using geometric formulas:
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And video solutions (not sure why I keep calling this problem 14, it is really problem 12):
Part 1:
Part 2:
Part 3 (Using integration - I think this is much more complicated, but you should follow it through and learn from the techniques used):
Part 4 (Finishing up with the integration and then taking a short cut or two)
I hope you spend some time going over these videos. The problem is not trivial and I can't say that I have ever solved or even seen a similar one, but hopefully we can learn something from it. I think it is a great problem and definitely a challenging one. :) Below is a printable copy of the solution.
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i don't have any of my math stuff at home for the test tomorrow! :( :(
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