Go to Post You are becoming the leaders of tomorrow by leading today. - Chris Fultz [more]
Home
Go Back   Chief Delphi > CD-Media > White Papers
CD-Media   CD-Spy  
portal register members calendar search Today's Posts Mark Forums Read FAQ rules

photos

papers

everything



Math Quiz 4

Ether

By: Ether
New: 09-09-2014 23:15
Updated: 16-09-2014 21:27
Total downloads: 1580 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

  • png Problem Statement

    Math Quiz 4.png

    downloaddownload file

    uploaded: 09-09-2014 23:15
    filetype: png
    filesize: 8.95kb
    downloads: 228


  • pdf Solution2

    Solution2.pdf

    downloaddownload file

    uploaded: 09-09-2014 23:19
    filetype: pdf
    filesize: 19.54kb
    downloads: 153


  • png Solution2 Plot

    Solution2 Plot.png

    downloaddownload file

    uploaded: 09-09-2014 23:20
    filetype: png
    filesize: 19.82kb
    downloads: 164


  • pdf Solution1

    Solution1.pdf

    downloaddownload file

    uploaded: 09-09-2014 23:43
    filetype: pdf
    filesize: 18.57kb
    downloads: 142


  • png Solution1 Plot

    Solution1 Plot.png

    downloaddownload file

    uploaded: 09-09-2014 23:44
    filetype: png
    filesize: 19.61kb
    downloads: 162


  • png Solution3

    Solution3.png

    downloaddownload file

    uploaded: 10-09-2014 00:23
    filetype: png
    filesize: 18.92kb
    downloads: 203


  • xls Solution1 Excel

    Solution1.xls

    downloaddownload file

    uploaded: 10-09-2014 01:03
    filetype: xls
    filesize: 15kb
    downloads: 148


  • xls Solution2 Excel

    Solution2.xls

    downloaddownload file

    uploaded: 10-09-2014 01:03
    filetype: xls
    filesize: 15kb
    downloads: 128


  • zip Plotting and Root Finding

    Plotting and Root Finding.zip

    downloaddownload file

    uploaded: 12-09-2014 13:01
    filetype: zip
    filesize: 62.87kb
    downloads: 106


  • xls Solution3 Excel

    Solution3.xls

    downloaddownload file

    uploaded: 16-09-2014 21:25
    filetype: xls
    filesize: 14kb
    downloads: 144



Recent Downloaders

  • Guest

Discussion

Tags

loading ...



All times are GMT -5. The time now is 18:11.

The Chief Delphi Forums are sponsored by Innovation First International, Inc.


Powered by vBulletin® Version 3.6.4
Copyright ©2000 - 2017, Jelsoft Enterprises Ltd.
Copyright © Chief Delphi