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06spex01 - Math 222 Spring 2006 C Gmez o Exam 1 Name Please...

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Math 222 C. G´ omez Spring 2006 February 15, 2006 Exam 1 Name: Problem Score 1 2 3 4 5 6 7 8 Total Please circle your TA’s name: Garrett Alston Sharon Garthwaite James Hegeman Alec (Evan) Johnson Keya Zhu Absolutely no calculators, notes, or books are allowed . You must show all your work, and explain your reasoning to receive credit for your answers. There are 8 problems and 10 pages. The last page of the exam contains formulas that may or may not come in handy on some problems. If you want to tear off that page, please do so carefully. You don’t need to simplify unless asked to do so explicitly. Be sure to check your answers whenever possible. Good luck!
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Math 222 Exam 1 2 1. [15 points] Evaluate e x cos x dx .
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Math 222 Exam 1 3 2. [15 points] Evaluate cos 5 θ dθ .
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Math 222 Exam 1 4 3. [15 points] Evaluate 1 0 1 1 - x 2 dx or show that it diverges. Simplify your answer if it converges.
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Math 222 Exam 1 5 4. [15 points] Evaluate 3 5 0 x 9 - 25 x 2 dx or show that it diverges. Simplify your answer if it converges.
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Math 222 Exam 1 6 5. [15 points ] Evaluate -∞ e x 1 + e 2
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