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MidTerm_2006

# MidTerm_2006 - ANALYSIS I ECE 3337 Midterm Test Name 1a b c...

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ANALYSIS I ECE 3337, Midterm Test, October 11, 2006 Name: ................................................. 1 a 10 2 c 5 b 10 3 a 10 c 15 b 10 2 a 5 4 10 b 25 Total 100 Rules of the Game: Put your name at the top of this page. Staple the problem sheets to your solution sheets and return the complete package. Books and calculators are not allowed, but a self-prepared ‘crib- sheet’ can be used. Answers that do not provide sufficient detail as to how you arrived at them will receive partial credit only! Maximum credits for each question are shown in the table above. 1. A complex function is defined by X ( z ) = z 3 + j j +1 z 2 + 1 . answer the following questions: (a) Determine all the poles and zeros of X ( z ). (b) Determine whether the function has a derivative anywhere on the straight line L connecting e - jπ/ 4 and e jπ/ 4 . (c) Find the possible values for A such that

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