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Unformatted text preview: APPM 2350 Final Exam Summer 2007 Be sure to include your name and a grading table on the front of your blue book. You must work all of the problems on this exam. Show ALL of your work and BOX IN YOUR FINAL ANSWERS . A correct answer with no relevant work may receive no credit, a wrong answer with no work will receive no credit, and an incorrect answer accompanied by some correct work may receive partial credit. Text books, class notes, crib sheets, cell phones, talking horses, calculators, or electronic devices of any kind are NOT permitted. Note that this exam will be weighted as 150 points. Please start each problem on a new page. Good luck! 1. (22 points) Consider the following integral: 2 Z 4- x 2 Z- 4- x 2 x 2 + y 2 Z dz dy dx . (a) Sketch the region that is being integrated. (b) Convert the original integral into cylindrical coordinates using the order dr dz d but do not solve ....
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- Summer '07