I Really enjoy doing math problems!
This fun little mystery cache should be a bit of calculus nostalgia for many of you. The savvy cacher will solve several area-under-a-curve questions. The CO intends for the solution to be derived using the concept of Integration in Basic CalculUs. To keep things Simple, the definite integral sHall be used in general and without a constant-of-integration. That said, there are many ways to derive a solution. One may use Taylor approximations, brute force calculations, summation of polygons, or physical cut-n-paste techniques, etc. The ultimate approach you choose is entirely yours to make. Have fun! Calculate those arEas and get that well Deserved smiley.
What about that final stage? First, there's absolutely no bushwacking involved. Second, the cache may be a challenging grab-and-go for seasoned cachers. You see, the hide is in a serene area. However, there are times when moderate muggle activity may deter your geo-fun. The area is readily accessible by vehicle, bicycle and foot traffic. Therefore, the cache must deftly blend in with the surroundings. I can assure you that it does. The coordinates should be accurate. However, the judicious use of one's geo-skills is imperative to find the hide.
CO insists that cache finders retrieve the cache during daylight hours only. Thanks for respecting the property owner and the spirit of the game.
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First-to-Solve Congrats: mmammel
FTF Congrats: Snowsox, Tydi355, candybear118, anitajforever, JL826, fyregypsy, jedi07, kbittner14 & honorable mention to Snowsox math major son who did a lot of the heavy lifting to get this gaggle of hounds their well deserved smiley.
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The coords you are solving for will fit this substitution model.
Solve for Position-B
Subtract Part 2 from Part 1 then subtract 2.5
Solve for Position-U
Calculate the area then divide your solution by 5. Then, subtract 1.
Solve for Position-S
Calculate the floor-value after subtracting smaller area from larger area. Then, add 1.
Solve for Position-H
Calculate the floor-value of your solution. Then, divide by the cuberoot of 64. Then, subtract 2-squared.
Solve for Position-E
Calculate area paying keen attention to the range of the function. Add 3 to your calculated area.
Solve for Position-D
Calculate area paying keen attention to the sign of the function. Then, subtract SQRT(9) from your calculated area.
Checksum1: B + D + E + H + S + U = 21
Checksum2: ( U + S + H ) / ( B + E + D ) = 0.75
You can check your answers for this puzzle on GeoChecker.com.