HW 1 Assignment

# HW 1 Assignment - 2 s 1 • g(10 points F s = 2 s s 2 s 1...

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EML 4312 Spring 2011 Partial Fraction Expansion The due date for this assignment is Friday 1/21. Show your work, and CIRCLE YOUR ANSWER. 1. Determine the inverse Laplace transform for the following problems (i.e., determine f ( t ) ). No partial credit will be given for question #1. a. (10 points) F ( s )= s 2 +2 ( s +1)( s 2 +4) b. (10 points) F ( s )= s ( s +2)( s +5) c. (10 points) F ( s )= 1 ( s +2)( s +4)( s +6) d. (10 points) F ( s )= ( s +1) ( s 1)( s 3) e. (10 points) F ( s )= 5 ( s +9) 2 f. (10 points) F ( s )= s 2 s
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Unformatted text preview: 2 ( s + 1) • g. (10 points) F ( s ) = 2 s ( s 2 + s + 1) • h. (10 points) F ( s ) = 2( s + 1)( s + 5) s ( s + 2) 2. (10 points) Determine mathematically and also sketch the step response for (i.e., f nd y ( t ) given r ( t ) is a step input) where F ( s ) = Y ( s ) R ( s ) = 1 ( s + 2)( s + 5) . 3. (10 points) Apply the IVT and FVT to question 2 to check that your sketch and answer makes sense. 1...
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