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Suppose n numbers ave vandoml Selected without vepacement hom a set ot N numbers, that is, 112, , where n SN. Let Y be the sum of the selected numbers. Calculate the expected value of Y Caloulate the vaiance ot Y. IN4) (2NH) (Hint :Ma and i))
Suppose n numbers ave vandoml Selected without vepacement hom a set ot N numbers, that is, 112, , where n SN. Let Y be the sum of the selected numbers. Calculate the expected...
An excitation (Force) 60sin(ot)+80 cos(1) N produces a steady-state response (particular solution) whose quasi-static amplitude is 50 mm. The natural frequency of the system is 20 Hz, and a = 18 Hz produces a steady-state response that is in phase with a sine response. Determine the amplitude of the displacement (x) when ( = 18 Hz. Hint: The system is in damped vibration.
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B Frequency Response Modeling Frequency response modeling of a linear system is based on the premise that the dynamics of a linear system can be recovered from a knowledge of how the system responds to sinusoidal inputs. (This will be made mathematically precise in Theorem 13.) In other words, to determine (or iden- tify) a linear system, all one has to do is observe how the system reacts to sinusoidal...
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