midterm2.pdf - Math 142-10 Second Midterm Exam Friday Name...

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Math 142-10 Second Midterm Exam Friday, October 15, 2010 Name: Instructions: 1. Answer all questions and show all work on the exam in the space provided (you may use the backs of pages if necessary). You will not receive credit if you do not justify your answers where it is necessary. 2. Please draw a circle or box around your final answers. 3. There are 8 questions worth a total of 20 points on numbered 5 pages. Please check the number of pages. 4. Remember to sign the Honor Pledge. 5. Good luck! I have neither given nor received any unauthorized help on this exam and I have conducted myself within the guidelines of the University Honor Code. Pledge:
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Page 2 1. (3 points) Answer briefly the following questions: (a) What is the Simpson’s rule? (b) Define the following improper integral integraltext -∞ f ( x ) dx . (c) State the mean value theorem. 2. (2 points) How large should n be to guarantee an error at most 0.001 in the approxima- tion of the integral integraltext 1 0 e x 2 dx with: (a) Midpoint rule.
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