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Ans-266FE-F2010

# Ans-266FE-F2010 - MA 266 Final Exam Fall 2008 version 2...

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MA 266 Final Exam Fall 2008, version 2 Print your last name: first name: Circle the name of your instructor: Janakiraman, Y.Lee, F.Li, Sosa, To, Urban. Instructions: 1. This exam contains 21 pages, including the cover page and a table of Laplace transforms. The last two pages are left intentially blank, which you may use as scrap paper. 2. This exam consists of two parts: (a) 17 Multiple Choice Questions and (b) 7 Written Answer Questions: (a) Each of Problems # 1–17 contains a multiple choice question. Circle the answers to the Multiple Choice Questions and fill in the corresponding answers on your scantron. Each question worths 10 points. (b) Each of Problems # 11–17 contains an additional written answer question, labelled Written Answer Question (a) Written Answer Question (g) . Show detailed work for these questions below the questions and circle your final answers. No credit will be given to no work. Your instructor will hand grade these questions and their weights were previously announced in class. Turn in both the scantron and the exam to your instructor in the end of the exam. 3. Put away books, notes, calculators, cell phones, i-pods and other electronic devices. No discussion during the exam.

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1. Let y be the solution to the initial value problem: y + y = f ( t ); y (0) = 0 , y (0) = 0; f ( t ) = t, 0 t < π t + sin(2 t ) , π t Then the Laplace transform L{ y } is? A. 1 s 2 ( s 2 + 1) + e πs 2 ( s 2 + 4)( s 2 + 1) , B. 1 s 2 ( s 2 + 1) + e - πs 1 ( s 2 + 4)( s 2 + 1) , C. 1 - e - πs s 2 ( s 2 + 1) + e - πs 2 ( s 2 + 4)( s 2 + 1) , D. 1 s 2 ( s 2 + 1) + e - πs 2 ( s 2 + 4)( s 2 + 1) , E. None of the above. 1

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