This is the third cache in the series Scholarly Pursuits (rest of the series to come later). After four years of high school, I thought it would be nice to make a cache series that reflected my academic experiences.
**THIS CACHE IS NOT AT THE POSTED COORDINATES** - The coordinates listed are the near the high school I attended. The cache itself is within two miles of the start location.
Solving the following math problems will get you the coordinates in the form:
N AB˚ CD.EFG , W HRJ˚ KL.MNP
Here are the problems ranked from easy to hard.
Easy:
A. 3 + 1 =
B. 4*(0*(5+6*(7*8))) + 1 =
H. y = 1 is a polynomial of degree…
R. 15X = 120. X =
J. The graph y = x + 7 has a y intercept at y =
Medium:
C. Sqrt(12) can be expressed in the form x*sqrt(y). The sum of x + y =
D. x^2 + 4x – 21 = 0 s a parabola with a positive zero at x =
K. A 45-45-90 right triangle with hypotenuse 8 has an altitude to the hypotenuse of length…
L. The rectangular point (8,sqrt(17)) can be rewritten in polar form as (r, 27.2˚), where r =
Hard:
E. The slope of the tangent to the curve y = 2tanθ at the point where θ=0 is…
F. The area under the curve 4x^3 from 0 to sqrt(3) is…
G. The sum of the infinite geometric series of the form 1/(2^n) starting where n = 0 is equal to x. Find the value of (7/2)*x.
M. If x^2 + y^2 = 8 and x – y = 4, x =
N. How many integers n are solutions of the equation n^(n+5) = 1?
P. Sqrt(2 + sqrt(2 + sqrt(2 + sqrt(2 + … )))) =
All of your answers should be integers, and all of the problems can be solved without a calculator.
You can check your answers for this puzzle on GeoChecker.com.
This area may be fairly busy during rush-hour and during the day.
Good luck. If you have any questions or feel that there are ambiguities or errors, message me and I will get back to you as soon as possible.
The prize for FTF is a 2 dollar Canadian coin.