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Assignment 1

# Assignment 1 - a y = 1-x 2 y = 0 about the x-axis b y = ln...

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Math 138 Assignment 1 Fall 2008 The following questions are to be answered neatly and completely on standard size (8.5 by 11 inch, or metric equivalent) paper. Please insure that your name and ID number are clearly indicated on each page, and that all your pages are securely fastened together, staples are preferred. This assignment is due at 9:00 a.m. on Friday, September 19, 2008 . 1. Evaluate each of the following indefinite integrals: a) x 2 ( x 3 + 5) 9 dx b) e x sin( e x ) dx c) tan - 1 x 1 + x 2 dx d) x 1 + x 4 dx 2. Evaluate 1 2 0 sin - 1 x 1 - x 2 dx . 3. For each of the following, sketch the region enclosed by the given curves and calculate the area of the enclosed region. a) y = 8 - x 2 , y = x 2 , x = - 3 , x = 3 b) 4 x + y 2 = 12 , x = y 4. Determine the volume obtained by rotating the region defined by the given curves about the specified line. Include a sketch of the region with a typical disk or washer, and sketch the solid.
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Unformatted text preview: a) y = 1-x 2 , y = 0; about the x-axis. b) y = ln x, y = 1 , y = 2 , x = 0; about the y-axis. c) y = x, y = 0 , x = 2 , x = 4; about x = 1. Note: this is the only assignment which will be handed out on paper. All subsequent assignments will be posted on the web-site, usually about 10 days before they are due. Please note that assignments may be submitted to the drop box before the due date. Assignments will be removed from the drop box shortly after the time they are due. The drop boxes are located on the fourth ﬂoor of the Math and Computer building (MC) outside room MC 4066. Check the course outline for the box/slot for your assignment....
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