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# FL10quiz3 - D 3 y 5 D 2 y 7 D y 9 y d Express D y = u in a...

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ESE 351 Quiz 3 Name: 9/9/2010 Sections 1.7, 1.9, 1.10.4; 2.1-2.6. a. In modeling the birth-and-death population dynamics of a rabbit colony, what state variables one should define? The answer is either (1) the total number of rabbits in the colony or (2) the numbers of rabbits in different age groups or (3) the number of rabbits introduced to the colony from the outside. b. Suppose that S is the left shift operator. Let y ( k ) = ( 1 2 ) k sin( π 3 k ). Evaluate S y ( k ). c. Put the following into Horner’s form:
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Unformatted text preview: D 3 y + 5 D 2 y + 7 D y + 9 y. d. Express D y = u in a block diagram. Hint: Be sure to put D-1 in the integrator box and label your arrows by y and u . It is our convention to draw arrows from left to right in this simple diagram. e. Express y = 3 u 1 + 4 u 2 in a block diagram. Hint: Be sure to label your arrows by y , u 1 and u 2 . It is our convention to draw arrows from left to right in this simple diagram....
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