test4prf3-f8-1 - MATH 2403F3-F8 Practice Problems for...

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MATH 2403F3-F8 Practice Problems for Midterm 4 Fall 2009 TIME: November 17 (Tuesday), 12:05-13:05 (the length of the exam is60m in) PLACE: Howey Physics L1 (where we meet on Tuesdays & Thursdays) COVERAGE: Lectures 10/22-11/10 EXAM POLICY: No calculator. No books. No notes, except for one formula sheet of letter size handwritten by yourself. Turn in this formula sheet withyourtest . By the way, a copy of Table 5.3.1 on page 325 will be provided to you at this test. The problems below are only meant for your practice. The real problems on the exam will not be the same. The amount of questions will also not be the same. Good luck! [1] Find the inverse Laplace transform of G ( s )= - 5 s + 3 s 6 + 1 ( s - 5) 3 + - 4 s 2 - 5 s +14 ( s - 2)( s - 4)( s +1) + 2 s +1 s 2 + π 2 - 3 s ( s - 3) 2 + π 2 . [2] Use the Laplace transform to ±nd the solution of the following initial value problems: (a) y ± +2 y ± + y =8 e 3 t ,y (0) = 0 ± (0) = 1 . (b) x ± = - 6 x +4 y, y ± =5 x, x (0) = 6 ,x ± (0) = - 6 (0) = 6 . [3] (a) Find the Laplace transform of f ( t t 2 t< 3, 2 t - 83 5, 25 6,
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This note was uploaded on 01/24/2010 for the course MATH 2403 taught by Professor Wang during the Spring '07 term at Georgia Institute of Technology.

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test4prf3-f8-1 - MATH 2403F3-F8 Practice Problems for...

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