springps09a

springps09a - 18.03 Problem Set 9a Spring 2009 Due with 9b...

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Unformatted text preview: 18.03 Problem Set 9a Spring 2009 Due with 9b in Room 2-106 at 12:55 pm, Friday, May 1 As usual, Part 9a covers material you are responsible for on Exam 3. Part A 1. Lec 28, Wed April 15: Weight and Transfer functions; Convolution. Read: CG. (this time, whole section, including the Laplace transform) Work: 3D-1; 2H-1; CG p2 do the “easy” exercise in next to last sentence. 2. Lec 29, Fri April 17: Pole diagrams. Read: Lecture Notes. Part B 0. (at due date) Write the names of any person, web site, or materials you consulted. Write “No C” (no consultation) on your paper if you consulted no outside materials/people. 1. Lec 28, Wed April 15: Complex coverup method. To find L- 1 parenleftbigg 1 s ( s 2- 6 s + 13) parenrightbigg note that s 2- 6 s + 13 = ( s- 3) 2 + 4 with roots s = 3 ± 2 i . One can then solve for A , B and C in 1 s ( s 2- 6 s + 13) = A s + B ( s- 3) + C ( s- 3) 2 + 2 2 The ordinary coverup method yields (with s = 0) 1 13 = A Next, we justify the complex coverup method. Multiply by s 2- 6 s + 13: 1 s = A s ( s 2- 6 s + 13) + ( B ( s- 3) + C...
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This note was uploaded on 05/06/2010 for the course 18 18.03 taught by Professor Unknown during the Spring '09 term at MIT.

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springps09a - 18.03 Problem Set 9a Spring 2009 Due with 9b...

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