
Objective

To understand arc length and surface area.
This lab uses Simpson's Rule etc.
(If you have forgotten Simpson's Rule and other numerical integration
techniques, then you should first work through the
appendix
to this lab which is a review of Simpson's Rule etc.)

Advice
 This lab is a long one, so allow enough time for it. In case you
have to leave the lab before you have finished it, use a floppy disk for
saving your work. You might find the process of saving your work faster
if you delete the reproduceable pictures and reproduceable graphs first
before you attempt to save the lab.

Procedure

You will answer questions in the Mathematica document itself, so
you should be given instructions by your instructor as to the format of
the material to be turned in for grading. (E.g., printouts or handwritten,
etc.) Ask your instructor, if you are unclear as to the requirements.
This lab consists of a Mathematica notebook document, whose web
address is given below. You should save that website (document) to the
desktop (or to your disk) and make sure you name it with a name that is
userfriendly for you and
ends in .nb . Once saved successfully, quit your browser.
To start Mathematica, doubleclick on your saved file's icon.
If everything has worked correctly, the file that you open should have
a magentacolored title at the top. There are instructions in the file
as to how to continue.
The site is: