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Exam_exam_3_ - . (Show integral-calculus work; answer in...

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March 30, 2007 MATH 141 – TEST 3 (8.1 – 8.7) [Pilachowski] Follow directions carefully: Use exactly ONE answer sheet per question (use the back of the sheet if needed). Put your name, your TA's name and the question number on EACH page. No books, notebooks, calculators, cell phones or other electronic devices. Put a BOX around the final answer to a question. Show enough work that we can follow your thinking. You must show all appropriate work in order to receive full credit for an answer. Answers should always be in simplest form. Before handing in your test: on your first answer sheet only, please copy the pledge and sign. 1. (15 points) Evaluate dx x x 2 ln . (Show integral-calculus work and state an answer in simplest form.) 2. a. (15 points) Evaluate . (Show integral-calculus work; answer in simplest form.) dx x x 5 3 cos sin b. (10 points) Evaluate
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Unformatted text preview: . (Show integral-calculus work; answer in simplest form.) dx x 2 sin 3. (20 points) Evaluate + dx x x 9 2 3 . (Show integral-calculus work; answer in simplest form.) 4. (15 points) Evaluate ( ) + + dx x x 2 1 4 . (Show integral-calculus work; answer in simplest form.) 5. a. (10 points) Given , set up the Simpsons Rule calculation for n = 4. All of the proper pieces must be in their correct places, but DO NOT CALCULATE to a numeric answer. 2 4 3 dx x b. (4 extra points) Use the two error formulae, explain why the Simpsons Rule calculation will always provide a better approximation that the Trapezoidal Rule calculation. c. (15 points) Evaluate ( ) 3 3 2 1 1 dx x . (Show integral-calculus work; answer in simplest form.) Math 141, Sections 03**, T Pilachowski, Spring 2007...
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This note was uploaded on 04/03/2010 for the course MATH 20 taught by Professor Staff during the Fall '08 term at Maryland.

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