s251ex1(fa08)

s251ex1(fa08) - MATH 251 Exam I October 2 2008 ANSWER KEY A...

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Unformatted text preview: MATH 251 Exam I October 2, 2008 ANSWER KEY A D 5. B 6. C 7. (b) (a) = −3, 0 ,3 (asymptotically) stable. ¢ + 2 −1 ¤ ¨ ¦ § 1 sin 3 − + 2 (d) A (e) C 2 § © 2  ¨  +  ¨ ¦ +) −4  §  ¨ + ¦ 2 sin ¨  ¨ © ¦ + )− −4 cos + ( § 2 −4 ¦ © ¨ §  ¨ © ¨ ¦ § + +) = (b)  §  ¨ ¥ © ¨ ¥ © ¦ § + 2 + 2 3 § 4 −4 + ¦ © ¦ ¨ ¥  ¨  ¨ ¥   (d) =( =( © § (c) 1 2 2 = ¨ © ¦ + − = © (a) ¨ 11. § −2 1 ¦ = (b) ¥ 10. cos 3 + 8 © 1 −6 § 2 = 2 ¦ (c) + © 1 § −6 = ¦ ¥ ¤ (a) £ 3 =− 3 = = −3 is unstable, = 0 is semistable, = 3 is (c) 3 (d) −3 (e) −3 < ≤ 0 ¢ 4. (e) ¢ 3. (d) D −6 C 9. (c) G ¢ 2. 8. (b) A (a) E ¡ 1. ...
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This note was uploaded on 07/16/2011 for the course MATH 251 taught by Professor Chezhongyuan during the Spring '08 term at Penn State.

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