The coordinates of the final cache are N 45 3A.BCD, W 122
5E.FGH
A) The integral of 1/(x^2) evaluated from one to infinity =
A
B) 6 times the integral of tan(x)sec^2(x) evaluated from
zero to pi over four = B
C) Find the area of the region bounded by the curve y
equals x times e to the negative x and the x-axis from x=0 to x=3. Multiply this
number by 5 and round to the nearest integer. This value is X.
The minimum of the function (x-2)^2 = Y.
X-Y-2 = C
D) What is the length of the curve of (2/3)x^(3/2) from
zero to 4.6? Round to the nearest whole number; this is D.
E) The limit of ln(x)/x as x approaches infinity is
E.
F) The fourth derivative of f(x)= 1 + x + x^2 + x^3 is F.
G) A hot-air balloon rising straight up from a level field
is tracked by a range finer 500 feet from the lift-off point. At the moment the
range finder's elevation angle is pi/4, the angle is increasing at a rate of .14
rad/min. How fast is the balloon rising at that moment? This number = Z. Z
divided by 28 is G.
H) What is the average value of the function f(x)=(x+1)^2
from zero to three? This number is M.
Find the volume of the solid generated by revolving the
region bounded by the lines and curves y=sqr[9-(x^2)] and y=0 about the x-axis.
Multiply the volume by 1/(6pi) to get N.(Note: sqr[]is taking the square root of
the value in brackets.)
M-N=H
Cache is a regular-sized tupperware container.
Some problems and ideas came from "Calculus -
Graphical, Numerical, Algebraic" by Finney, Demana, Waits, and Kennedy.
Published by Scott Foresman-Addison Wesley, copyright 1999.