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27 to Infinity Mystery Cache

Hidden : 5/27/2020
Difficulty:
3.5 out of 5
Terrain:
3.5 out of 5

Size: Size:   small (small)

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Geocache Description:


As a high school math teacher I decided to get people a chance to refresh their memory on all the math that they learned.  Each cache has a math problem to solve to get the final coordinates.  The hike should be completed in order from 22-34 in the Brunot Preserve located off Taunton Hill Road, Newtown CT. This preserve is owned and maintained by the Newtown Forest Assocation (NFA). All NFA properties are held in trust. The trails are for walking and equestrian traffic only and all NFA properties are closed from sunset to sunrise. Dogs are allowed but must be on leash and under the owner's control at all times. Please be prepared to clean up after your dog. Absolutely no motorized vehicles. Please report any ATV's you see on the trails. You will need to bring your own pen to sign the log.

NOTES:

  • You need to read this cache page BEFORE you start the series.
  • You will need to bring your own pen to sign the logbooks.
  • All caches are near trails
  • No caches are in stone walls
  • GPSr Bounce is very bad in this park so use the hints as needed

And now for the puzzle:

Calculus - Derivatives

N 41° 23.(n) W 073° 22.(w)

 

Given f(x) = x4/4  - 2x2 -153x

n = f ' (10)

Given g(x) = 10x3 + 4x2 + 6x

w = g ' (2)

 

 

Additional Hints (Decrypt)

gur zvav pnir yvxrf crnahg ohggre

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)