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Pastimes : INTERMEDIATE ALGEBRA -- Ignore unavailable to you. Want to Upgrade?

To: Nazbuster who wrote (6)	9/10/1999 8:42:00 PM
From: Don Pueblo	Read Replies (5) \| Respond to of 96

I'm working on it. Here is one for you: A farmer is unhappy that the kids are stealing his apples, so he makes seven concentric fences around his orchard. Each fence has a gate. The farmer has seven sons, and one son is stationed at each gate. The farmer tells the kids outside, "You can go in, and you can take as many apples as you can carry in your arms. But when you leave, you have to give half of what you have to each of my sons on your way out. Each son, in turn, will take half of your apples, and then give you one apple back. "Any boy that can tell me how many apples he will pick and take to my first son on his way out will get to go in." What's the only smart answer?

To: Nazbuster who wrote (6)	9/11/1999 11:06:00 AM
From: MechanicalMethod	Read Replies (3) \| Respond to of 96

Proprietary wavelet transform indicates freq 12 for amp 10. How wide is alley if amp: 1. spikes to 20? 2. tanks to zero? and since those are too easy... what if amp: 3. spikes to 15? 4. tanks to 5? How many original 12' alleys does it take to phase match model 3 [amp 15, freq x]? Osci

To: Nazbuster who wrote (6)	9/11/1999 4:13:00 PM
From: Lazarus_Long	Read Replies (1) \| Respond to of 96

GAWD!!!!!!!!!!!! THIS IS BAD! I tried a brute force approach and ended up with sqrt(900-L^2) X sqrt(400-L^2) ----------------------------- = 10 sqrt(900-L^2) + sqrt(400-L^2) where L is the width of the alley (and sqrt is the square root function). That's as far as I'm going to go by hand. Looks like we'll end up with at least a 4th degree equation and maybe an eighth. Bad news. I'll feed this sucker to Mathematica when I get home tonight (if I get home tonight) and see if it can come up with at least a numerical answer. Still looking for a trick that might crack it.