paper: Math Quiz 4

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Math Quiz 4
by: Ether

A think-outside-the-box math challenge


Discussion Thread
http://www.chiefdelphi.com/forums/showthread.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





Solution2.pdf (19.5 KB)

Solution1.pdf (18.6 KB)


Solution1.xls (15 KB)
Solution2.xls (15 KB)
Plotting and Root Finding.zip (62.9 KB)
Solution3.xls (14 KB)