Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Chapter 16, Problem 14P

Find the optimal dimensions for a heated cylindrical tank designed to hold 10  m 3 of fluid. The ends and sides cost $ 200 /m 2  and $100/m 2 , respectively. In addition, a coating is applied to the entire tank area at a cost of $ 50 / m 2 .

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3. (a) (b) Prove the following logical argument using the rules of inference. Do not make use of conditional proof. Vx(J(x)O(x)) 3x(J(x) A¬S(x)) . ·.³x(O(x) ^ ¬S(x)) Rewrite the proof using full sentences, avoiding logical symbols. It does not need to mention the names of rules of inference, but a fellow CSE 16 student should be able to understand the logical reasoning.
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16.4. Show that if z' is the principal value, then 1+e** z'dz = (1-i), 2 where is the upper semicircle from z = 1 to z = -1.

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