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M251ex2(su03) - MATH 251 Summer 2003 Exam 2 NAME ID...

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MATH 251 Summer 2003 Exam 2 July 24, 2003 NAME : ID : INSTRUCTOR : There are 9 questions on 8 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 . A TABLE OF L APLACE TRANSFORMS IS ATTACHED . 1: 2: 3: 4: 5: 6: 7: 8: 9: Total:
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MATH 251 Summer 2003 - MidTerm Exam 2 1. (5 points) If a mass-spring system described by the equation 2 u 00 + ku = 10 cos 4 t exhibits resonance, then what is the value of k ? (a) 4 (b) 8 (c) 16 (d) 32 2. (5 points) The inverse Laplace transform of 8 s 3 - 4 s is (a) - 2 + e 2 t + e - 2 t (b) - 2 t + e 2 t + e - 2 t (c) 2 t + cos 2 t (d) - 2 + 1 2 sin 2 t 3. (6 points) True of false: i. L { f ( t ) g ( t ) } = L { f ( t ) } L { g ( t ) } , T F ii. L { u π ( t ) sin t } = e - πs 1 s 2 + 1 , T F iii. If f ( t ) = 2 - u 2 ( t ) + 3 u 4 ( t ) , then f (3) = 1 , T F Page 2 of 8
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MATH 251 Summer 2003 - MidTerm Exam 2 4. (16 points)
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