EBK NUMERICAL METHODS FOR ENGINEERS
EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 8220100254147
Author: Chapra
Publisher: MCG
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Chapter 13, Problem 2P

Given

f ( x ) = 1.5 x 6 2 x 4 + 12 x

(a) Plot the function.

(b) Use analytical methods to prove that the function is concave for all values of x.

(c) Differentiate the function and then use a root-location method to solve for the maximum f ( x ) and the corresponding value of x.

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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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