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Unformatted text preview: 2 2_ Name: & ID#& Signature& 4 This Exam is "Closed-Book." "Notes," in any form, are NOT allowed. Calculators cannot be used in "complex number mode." Calculators can ONLY be used to perform "real number arithmetic and trig" operations. At the end of the test, please attach all additional pages that you used for your calculations. 1. Sketch the following functions. Be sure to label and scale each axis: (a) s i (t) = t2 [u(t + 1) - u(t - 2)]& t 5 1 0 1 (b) s 2 (0= s i (2t 4; o ts (c) s 3 & = 8(t)e-31 [u(t) + u(t + 2)]cos(27rt) 111111W-- 4/40 , - ^ 2. Let z 1 = 2 + j3 and z 2 = 4 - j2. Compute the following complex numbers and write your answer in Cartesian form. (a) s i = 3 z i + 2 z 2 /4 4-j" 37-rs (b) s 2 = / z 2 0.) +j a 0.8 3 p fis 3. Compute the following complex numbers and write your answer in exponential form: (a) ) If z1 = 4e11114 and z 2 = 6e'3R'4& ) What is (expressed in exponential notation): 3 z i + 2 z2 e 271-p7:3 ' 11PaQ,e& C O t / l6 .-7 7 ti = 3 e`' What is C called?...
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This note was uploaded on 03/30/2009 for the course ECE 220 taught by Professor Nilson during the Spring '08 term at N.C. State.
- Spring '08