Platte Canyon High School

Mathematics and Science

Hi Kelli, Lia, Isaac and Kevin!

I am sorry that I can not be with you today :(  For your work today, you will investigate finding the area of a variety of regions.  First, please go to the following sites and go through the material that is related to this.

This tutorial discusses the basics; click on this and read through it:

http://library.thinkquest.org/3616/Calc/S3/AoR.html  

The following was very cool.  I hope it works at school for you.  I used the flash for #1.  Go through several to get the hang of it.  See if it works!

http://archives.math.utk.edu/visual.calculus/5/area2curves.3/index.html

Finally, go through your book.  First, look at the definition of Area between Curves on page 375.  Second,  look at the example 2 on page 376 for area of an enclosed region.  Finally, look at example 4 on page 377 and how it changes on page 378 and page 379.

When doing areas of regions between curves you should:

    1.    Graph the region.

    2.    Draw a slice which is perpendicular to the axis.

    3.    Find any intersections that are important.

    4.    Set up the integral (see definition!).

    5.    Evaluate the integral.

Homework:  380/ 1 - 12, 19, 20  You do not have to do parts 1, 2, 3, for the first 10 but be sure to do them for the other 4.

See you tomorrow!

Last Updated February 17, 2001             visits to this site!

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