A10_Tran

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Signals and Systems Issued: 22 October 2014 Fall 2014 Due: Tuesday , 28 October 2014 Homework Assignment #10 1. Let x ( k 1) Ax ( k ) Bu ( k ) and y ( k ) Cx ( k ) Du ( k ), with A 0 0 0 8 . 0 2 . 0 8 . 0 75 . 0 3 . 0 25 . 0 , B 1 0 0 , C 0 1 1 , D 1. (a) Draw the system simulation diagram. (b) Determine the poles of the system transfer function. (c) Simulate the system on a digital computer to find the response y ( k ) to a unit step input. 2. A study of student enrollment records for the Colleges of Engineering and Business at a certain university yields the following observations: Among entering students, 35% enroll in Engineering, and 65% enroll in Business. Among Engineering students at the end of each year, 65% will re-enroll for the following year in Engineering, 8% will enroll in Business, and 20% will graduate.
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