EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 17, Problem 12P

An investigator has reported the data tabulated below for an experiment to determine the growth rate of bacteria k (per d), as a function of oxygen concentration c ( mg/L ) . It is known that such data can be modeled by the following equation:

k = k max c 2 c s + c 2

where c s and k max are parameters. Use a transformation to linearize this equation. Then use linear regression to estimate c s and k max and predict the growth rate at c = 2 mg/L .

c 0.5 0.8 1.5 2.5 4
y 1.1 2.4 5.3 7.6 8.9
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EBK NUMERICAL METHODS FOR ENGINEERS

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