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Math 128 Lab 4: The gutter problem (page 1)

A rain gutter is to be constructed of aluminum sheets 12 inches wide.  After marking off a length of 4 inches from each edge, this length is bent up at an angle x (see the figure below).

The cross sectional area of the gutter changes as the angle x changes.  The goal is to understand how the cross sectional area changes as a function of  x, and to find the largest possible cross sectional area in order to maximize the flow of water in the gutter.  

The questions for this laboratory are to be answered in WebCT.  You can open a WebCT window and use it as you proceed through the computer screens of lab activities.  You are encouraged to work cooperatively and talk about the questions with your neighbors.  But note that the numbers in your questions might be different from the numbers in your neighbor's corresponding questions, so you should make sure you answer the question you are asked.

Click http://webct.wvu.edu to open a WebCT window.   Log on to myWebCT using your WVU MIX email name (without ".mix@wvu.edu") as your WebCT ID and the two digit day of month of your birthday along with the last 4 digits of your student number as your Password.  

For example, if your WVU email is astudent@mix.wvu.edu, you were born on June 3, and your student number is 123-45-6789, then you should log on to WebCT as astudent with a password of 036789. If you don't know your WVU email name you can find it at http://directory.wvu.edu.  More information about the MIX email system is available at http://www.wvu.edu/~mix/.