EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 19, Problem 3P

The pH in a reactor varies sinusoidally over the course of a day. Use least-squares regression to fit Eq. (19.11) to the following data. Use your fit to determine the mean, amplitude, and time of maximum pH. Note that the period is 24 hr.

Time, hr 0 2 4 5 7 9 12 15 20 22 24
pH 7.6 7 7.1 6.5 7.4 7.2 8.9 8.8 8.9 7.9 7
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1. Sketch the following sets and determine which are domains: (a) |z−2+i| ≤ 1; - (c) Imz> 1; (e) 0≤ arg z≤ л/4 (z ± 0); Ans. (b), (c) are domains. (b) |2z+3| > 4; (d) Im z = 1; - (f) | z − 4| ≥ |z.
So let's see, the first one is the first one, and the second one is based on the first one!!
4. In each case, sketch the closure of the set: (a) -л 0.
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