By: Ether
New: 09-09-2014 23:15
Updated: 16-09-2014 21:27
Total downloads: 1557 times

A think-outside-the-box math challenge

Discussion Thread
http://www.chiefdelphi.com/forums/sh...d.php?t=130175



Problem Statement
http://www.chiefdelphi.com/media/papers/download/4157

1) Using only half a dozen or so simple trig and geometry steps, set up a relation T(DR,DL,OL,DEoverDF,DH)=0 which can be numerically or graphically solved for DH, if given values for the other variables in the problem statement.

2) Using only high-school-freshman math and the 4 basic arithmetic operations (+ - * /), set up a relation A(DR,DL,OL,DEoverDF,DH)=0 which can be numerically or graphically solved for DH, if given values for the other variables in the problem statement.

3) Find an explicit solution DH=f(DR,DL,OL,DEoverDF) which uses only add, subtract, multiply, divide, and square root operations.


Solution1 (Trig & Geometry)
http://www.chiefdelphi.com/media/papers/download/4161

Solution1 Plot
http://www.chiefdelphi.com/media/papers/download/4162

Solution1 Excel numerical root finder
http://www.chiefdelphi.com/media/papers/download/4169


Solution2 (Cartesian coordinates)
http://www.chiefdelphi.com/media/papers/download/4158

Solution2 Plot
http://www.chiefdelphi.com/media/papers/download/4159

Solution2 Excel numerical root finder
http://www.chiefdelphi.com/media/papers/download/4170


Solution3 explicit solution
http://www.chiefdelphi.com/media/papers/download/4164

Solution3 Excel numerical root finder
http://www.chiefdelphi.com/media/papers/download/4172


Plotting and Root Finding with Maxima
http://www.chiefdelphi.com/media/papers/download/4171

Attached Files

• Problem Statement

  Math Quiz 4.png

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  uploaded: 09-09-2014 23:15
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  filesize: 8.95kb
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• Solution2

  Solution2.pdf

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  uploaded: 09-09-2014 23:19
  filetype: pdf
  filesize: 19.54kb
  downloads: 149

  
  

• Solution2 Plot

  Solution2 Plot.png

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  uploaded: 09-09-2014 23:20
  filetype: png
  filesize: 19.82kb
  downloads: 162

  
  

• Solution1

  Solution1.pdf

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  uploaded: 09-09-2014 23:43
  filetype: pdf
  filesize: 18.57kb
  downloads: 140

  
  

• Solution1 Plot

  Solution1 Plot.png

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  uploaded: 09-09-2014 23:44
  filetype: png
  filesize: 19.61kb
  downloads: 160

  
  

• Solution3

  Solution3.png

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  uploaded: 10-09-2014 00:23
  filetype: png
  filesize: 18.92kb
  downloads: 200

  
  

• Solution1 Excel

  Solution1.xls

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  uploaded: 10-09-2014 01:03
  filetype: xls
  filesize: 15kb
  downloads: 146

  
  

• Solution2 Excel

  Solution2.xls

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  uploaded: 10-09-2014 01:03
  filetype: xls
  filesize: 15kb
  downloads: 126

  
  

• Plotting and Root Finding

  Plotting and Root Finding.zip

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  uploaded: 12-09-2014 13:01
  filetype: zip
  filesize: 62.87kb
  downloads: 104

  
  

• Solution3 Excel

  Solution3.xls

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  uploaded: 16-09-2014 21:25
  filetype: xls
  filesize: 14kb
  downloads: 142

  
  

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