Woebegone County needs a good estimate of the area of
Small Pond. Grant funds depend on the area, and there are severe
financial penalties for misrepresenting the area.
Above is a representation of Small Pond. Assume that the
scale is 1 cm º 10 m . Estimate
the area of Small Pond as accurately as you can.
Type your solution. As a minimum, your writeup [typeup] will
·
Contain only complete sentences ["a = b." is a
complete sentence],
·
State explicitly any assumptions made about the
representation of Small Pond,
·
Describe completely the methods and tools (rulers,
calculators, ¼) used to estimate the area,
and, most importantly,
·
Discuss the error in your approximation and the
sources of error.
Suggestions and Submission Dates on
Following Page
Some issues you might wish to consider:
·
How accurate is the representation of Small Pond?
·
Are there particular regions or points of Small
Pond where finding a good approximation might be difficult?
·
Are there functions related to the project? What
are the domains of the functions?
·
You may wish to view an enlarged picture of the
representation.
See
http://www.math.uic.edu/ lewis/mtht430/chap8c01.gif
You are encouraged to work together, but the typeup must be
your own work and acknowledge collaborators.
Assignment due dates:
November 22, 2006- 6 PM: Progress Report -
A note to jlewis@uic.edu
on your progress on the project.
November 29, 2006- 5 PM: Completed typed project due.
File translated from
TEX
by
TTH,
version 3.76. On 07 Nov 2006, 11:52.
