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Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 9.2 - Problem 14
Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 9.2 - Problem 14

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# Negative Feedback Loops. Suppose some quantities -*1 (0 , x2(t), ...,*(/) can be modeled ISBN: 9780136009269 434

## Solution for problem 14 Chapter 9.2

Linear Algebra with Applications | 4th Edition

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Problem 14

Negative Feedback Loops. Suppose some quantities -*1 (0 , x2(t), ...,*(/) can be modeled by differential equations of the formdx i * = -* 1' 1bxndx2 ~dtdxn dt= X\ - k2X2xn 1 ~ ' knXnwhere b is positive and the kt are positive. (The matrix of this system has negative numbers on the diagonal, 1 s directly below the diagonal, and a negative number in the top right comer.) We say that the quantities x\.......xn describe a (linear) negative feedback loop. a. Describe the significance of the entries in this system, in practical terms. b. Is a negative feedback loop with two components (n = 2) necessarily stable? c. Is a negative feedback loop with three components necessarily stable?

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Chapter 7 The basics of sampling  The important terminology: o Population: entire set of people you are interested in. o Sample: the subset of people you actually study. o Census: a study that involves the entire population.  IMPORTANT QUESTION: Do your findings generalize from your sample to your population Representative Sample  Representative sample: all members of the population have an equal chance of being included in the sample. o Good external validity, generalizability. o Difficult to accomplish.  Bias (unrepresentative) sample: some people in the population have a much better chance being included in the sample than others. Biased Sample  2 types of biased samples: o Convenience sample: sampling f

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##### ISBN: 9780136009269

The full step-by-step solution to problem: 14 from chapter: 9.2 was answered by , our top Math solution expert on 03/15/18, 05:20PM. Linear Algebra with Applications was written by and is associated to the ISBN: 9780136009269. This textbook survival guide was created for the textbook: Linear Algebra with Applications, edition: 4. This full solution covers the following key subjects: . This expansive textbook survival guide covers 41 chapters, and 2394 solutions. The answer to “Negative Feedback Loops. Suppose some quantities -*1 (0 , x2(t), ...,*(/) can be modeled by differential equations of the formdx i * = -* 1' 1bxndx2 ~dtdxn dt= X\ - k2X2xn 1 ~ ' knXnwhere b is positive and the kt are positive. (The matrix of this system has negative numbers on the diagonal, 1 s directly below the diagonal, and a negative number in the top right comer.) We say that the quantities x\.......xn describe a (linear) negative feedback loop. a. Describe the significance of the entries in this system, in practical terms. b. Is a negative feedback loop with two components (n = 2) necessarily stable? c. Is a negative feedback loop with three components necessarily stable?” is broken down into a number of easy to follow steps, and 119 words. Since the solution to 14 from 9.2 chapter was answered, more than 227 students have viewed the full step-by-step answer.

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