M251ex2(sp04)

M251ex2(sp04) - Name MATH 251 Midterm Exam II April 1 2004...

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MATH 251 Midterm Exam II April 1, 2004 Name: Student Number: Instructor: Section: This exam has 9 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 USE OF CALCULATORS IS NOT PERMITTED IN THIS EXAMINATION. The last page of this examination contains a table of Laplace transforms for your use. Do not write in this box. 1: 2: 3: 4: 5: 6: 7: 8: 9: Total:

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MATH 251 Spring 2004 Exam II 1. Circle the correct answer to each of the following statements: (a) (2 points) True or False: The Laplace transform of a piecewise continuous function f ( t ) is defined by: L{ f ( t ) } = Z 1 0 e - st f ( t ) dt (b) (2 points) True or False: A critically damped spring-mass system cannot oscillate, but the mass may cross its rest position as t + . (c) (2 points) True or False: When choosing the form for a particular solution to a second or- der linear non-homogeneous equation, an extra multiplicative factor of t is always needed
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