M251ex2(fa07)

M251ex2(fa07) - MATH 251 Examination II November 12, 2007...

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MATH 251 Examination II November 12, 2007 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.
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MATH 251 EXAMINATION II November 12, 2007 1. (6 points) Match the sketches of phase portraits for 2x2 homogeneous linear systems with constant coeFcients x = A x with the names of their critical points at the origin. I II III IV V VI (a) saddle (b) node (c) proper node (d) center (e) spiral (f) improper node Page 2 of 10
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MATH 251 EXAMINATION II November 12, 2007 2. (5 points) When an object with mass 5 kg is attached to a spring, the object stretches the spring by 2 m. A damper with damping coefcient oF 4 N/m is attached to the system. Assume
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M251ex2(fa07) - MATH 251 Examination II November 12, 2007...

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