MATH 251
Spring 2003
Final Exam
May 8, 2003
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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.
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View Full DocumentMATH 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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 Spring '08
 CHEZHONGYUAN
 Math, Differential Equations, Equations, Partial Differential Equations, Partial differential equation

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