M251final(sp03)

# M251final(sp03) - MATH 251 Spring 2003 Final Exam May 8...

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MATH 251 Spring 2003 Final Exam May 8, 2003 NAME : ID : INSTRUCTOR : There are 15 questions on 5 pages. Please read each problem carefully before starting to solve it. For each multiple choice problem 4 answers are given, only one of which is correct. Mark only one choice. For partial credit questions, all work must be shown - credit will not be given for an answer unsupported by work. N O CALCULATORS ARE ALLOWED . P LEASE DO NOT WRITE IN THE BOX BELOW . 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: Total:

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MATH 251 Spring 2003 -Final Exam- 1. (6 points) Consider the undamped system of a 7 kg mass hanging from a spring. An external force of 3 sin(10 t ) newtons is applied to the system, which then enters reso- nance. What is the spring constant? (a) 7 (b) 10 (c) 100 (d) 700 2. (6 points) What is the inverse Laplace transform of F ( s ) = e - 3 s 1 s +2 ? (a) u 3 ( t ) + 1 2 δ ( t - 3) (b) u 3 ( t ) e 2 t +3 (c) u 3 ( t ) e - 2 t +6 (d) δ ( t - 3) e - 2 t 3. (6 points) What is the partial fraction expansion of 7 s - 2 s 2 ( s - 2) ? (a)
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M251final(sp03) - MATH 251 Spring 2003 Final Exam May 8...

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