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Arithmetic 301 Mystery Cache

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KatiKaos: It had a nice run. Thanks to all that visited. Time to put this one to bed.

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Hidden : 6/7/2016
Difficulty:
3 out of 5
Terrain:
2 out of 5

Size: Size:   regular (regular)

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Geocache Description:


The cache is not at the published coordinates.

After some Freshman & Sophomore mathematics, you should be ready for a Junior level course.

Marin Mersenne was a French theologian, philosopher, mathematician and music theorist who developed some interesting laws. He told us more about stretched string than we ever wanted to know. These laws describe the frequency of oscillation of a stretched string. This frequency is:

1. Inversely proportional to the length of the string (this was actually known to the ancients, and is usually credited to Pythagoras himself).
2. Proportional to the square root of the stretching force, and
3. Inversely proportional to the square root of the mass per unit length.

This is all shown by the formula, f = (1/2*L)(√(F/u)), for the lowest frequency where f is the frequency, L is the length, F is the force, and u is the mass per unit length.

Information which you may need is as follows:
1. Length = 1.5
2. Force = 1,000,000
3. Mass/unit length = 2

But you might also need the following prime information:

If the # of variables is 7, and we assume p =19, that might give us necessary information about this stretched string which can be found at:

N39 36.ABC W75 42.DEF



Additional Hints (Decrypt)

Tbbtyr jbhyq or urycshy.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)