M251ex2(sp08) - MATH 251 Examination II April 7, 2008 Name:...

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Unformatted text preview: MATH 251 Examination II April 7, 2008 Name: Student Number: Section: This exam has 11 questions for a total of 100 points. In order to obtain full credit for partial credit problems, all work must be shown. Credit will not be given for an answer not supported by work. The point value for each question is in parentheses to the right of the question number. You may not use a calculator on this exam. Please turn off and put away your cell phone. 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: Total: Do not write in this box. MATH 251 EXAMINATION II April 7, 2008 1. (5 points) The inverse Laplace transform of F ( s ) = 3 s- 1 s 2- 2 s + 10 is (a) 3 e t cos 3 t + 2 3 e t sin 3 t , (b) 3 e t cos 3 t- 1 3 e t sin 3 t , (c) 3 e − t cos 3 t- e − t sin 3 t , (d) 3 e − t cos 3 t- 4 3 e − t sin3 t . 2. (5 points) Suppose f ( t ) = 2- 9 u 1 ( t ) + u 4 ( t ) t 2- u 9 ( t )(10- t 2 ). What is f (7)? (a) 9 (b) 42 (c) 80 (d) 81 Page 2 of 9 MATH 251 EXAMINATION II April 7, 2008 3. (5 points) Suppose y ( t ) is the solution of the first order linear initial value problem...
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This note was uploaded on 07/23/2008 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Pennsylvania State University, University Park.

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M251ex2(sp08) - MATH 251 Examination II April 7, 2008 Name:...

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