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Cache with Respect to x Mystery Cache

Hidden : 11/17/2024
Difficulty:
3 out of 5
Terrain:
2 out of 5

Size: Size:   small (small)

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Geocache Description:


"Cache is not at the posted coordinates"
Welcome to “Cache with Respect to x”!
This simple puzzle will require you to apply basic calculus concepts to solve for the coordinates. Use your knowledge of derivatives, integrals, and limits to find the missing digits. Here’s what you need to do: Puzzle Steps:
Solve each part of the puzzle below, and use the answers to fill in the coordinates:

N 38° 41.AB5 W 121° 20.CD6

A ) Find the derivative of the follow expression: f(x) 4x^3 - 11x^2 - 3x, after finding the derivative, plug in x=2 to find A.

B ) Integrate the Following Expression from 0 to 2:  ∫(0 to 2): 2x^3 - 3x^2 + 4x - 1 dx, the answer to this integral is your answer to letter B.

C ) Find the limit of the following expression as (x approaches 0): lim x0 (x^2)/(x^3 + x), the answer to this limit is your answer to letter C. 

D )  Once you've found answers for A,B, and C, solve the following equation to find D: A + B + C = D. Use your results from A, B, and C, to find D.     After doing so, "add 1" to this answer to find D. 
 

Remember: To follow the etiquette as always. 

Additional Hints (Decrypt)

Qbja ybj

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)