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  • (January 12, 2023, 01:18:11 AM)

Author Topic: Puzzle of the Week 13  (Read 2093 times)

Min

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Puzzle of the Week 13
« on: April 12, 2011, 09:49:50 AM »
PM me the answer.  Do not post it here.


Puzzle #13 (4/12/11)

It's a math puzzle!  Send the answer by Saturday.
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Re: Puzzle of the Week 13
« Reply #1 on: April 18, 2011, 12:53:29 PM »
Yay for math
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ivan

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Re: Puzzle of the Week 13
« Reply #2 on: April 21, 2011, 11:30:44 AM »
Hi, Detta!  :-)
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Novice

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Re: Puzzle of the Week 13
« Reply #3 on: April 21, 2011, 11:42:40 AM »
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Min

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Re: Puzzle of the Week 13
« Reply #4 on: April 21, 2011, 01:06:37 PM »
I'm sorry I haven't put it up yet.  I'm supposed to be relaxing on spring break but instead my schedule is jam packed every day!

I'll try to do it later on today.
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ivan

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Re: Puzzle of the Week 13
« Reply #5 on: April 21, 2011, 01:38:58 PM »
Quote from: Detta on April 21, 2011, 01:06:37 PM
I'm sorry I haven't put it up yet.  I'm supposed to be relaxing on spring break but instead my schedule is jam packed every day!

I'll try to do it later on today.

No rush. We just wanted you to know that we appreciate Teh Puzzle of the Week.
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"I TYPE 120 WORDS PER MINUTE, BUT IT'S IN MY OWN LANGUAGE!"  -Detta

xolik: WHERE IS OBAMA'S GIFT CERTIFICATE?
Demosthenes: Is that from the gifters movement?

Detta: Crappy old shorts and a tank top.  This is how I dress for work. Because my job is to get puked on.
Demosthenes: So is mine.  I work in IT.

bananaskittles: The world is 4chan and God is a troll.

Banshee

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Re: Puzzle of the Week 13
« Reply #6 on: April 21, 2011, 02:01:12 PM »
Damn, I forgot to finish this after I started it. I got stuck on substituting for y to solve for x while finding the correct equation I needed to take the derivative of to find the critical points for optimization.

It's been a long goddamn time since I took basic calculus. It's possible I was way overthinking it. I thought it was an optimization problem, but the "passes through points A, B, C, and D" threw me off. I only remember having a perimeter or something in a 3D space. I wasn't sure how quite to approach it. The constant is 6=xy, but I couldn't find the equation to optimize.

I ended up using coordinates like [0,0] for C, [0,y] for A, [x,y] for B and [x,0] for D. Then sketched out a square described by points and coordinates going clockwise from the leftmost point: A' [-x/2, y/2], B' [x/2, y+y/2], D' [x+x/2,y/2] and C' [x/2,-y/2]. The slope m of any of these lines is x/y, and the area would be expressed as A'=x^2/y^2.

But then what?

I miss being good at calculus.



 
« Last Edit: April 21, 2011, 02:13:08 PM by Banshee »
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Min

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Re: Puzzle of the Week 13
« Reply #7 on: April 21, 2011, 02:12:26 PM »
Do what?  Use Geometry.
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Re: Puzzle of the Week 13
« Reply #8 on: April 21, 2011, 02:15:24 PM »
Holy crap, was it as simple as using the Pythagorean Theorum on one of the sides of the square?

 :x
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Min

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Re: Puzzle of the Week 13
« Reply #9 on: April 21, 2011, 03:18:52 PM »
That's what I did.

Anyways, send me the answer if you get it.  I'll hold off on posting the solution.
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ivan

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Re: Puzzle of the Week 13
« Reply #10 on: April 21, 2011, 03:21:59 PM »
I used String Theory.
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"I TYPE 120 WORDS PER MINUTE, BUT IT'S IN MY OWN LANGUAGE!"  -Detta

xolik: WHERE IS OBAMA'S GIFT CERTIFICATE?
Demosthenes: Is that from the gifters movement?

Detta: Crappy old shorts and a tank top.  This is how I dress for work. Because my job is to get puked on.
Demosthenes: So is mine.  I work in IT.

bananaskittles: The world is 4chan and God is a troll.

Min

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Re: Puzzle of the Week 13
« Reply #11 on: April 21, 2011, 03:46:06 PM »
ivan, Jaepheth and Novice each got 25 points.  Pyrenus got 5 points.


ivan has 285 puzzle points.

Jaepheth has 280 puzzle points.

Novice has 265 puzzle points.

Banshee has 125 puzzle points.

reimero has 115 enriching puzzle points.

Lacerda has 70 puzzle points.

Pyrenus has 60 puzzle points.

Demo has 45 puzzle points.

Rizzy has 45 puzzle points.

TheJudge has 30 puzzle points.

BananaSkittles has 30 puzzle points.

p5ych0t3ch has 25 puzzle points.

HeavyJay has 25 puzzle points.

foo has 20 puzzle points.

Fraggles has 5 puzzle points.
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