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Problem 1. Find a* that maximizes the following functions: i) f(x) = x (2-x) where r ER (i.e., no constraint). %3D

Problem 1. Find a* that maximizes the following functions: i) f(x) = x (2-x) where r ER (i.e., no constraint). %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1. Find x that maximizes the following functions: i) f(x) = x (2 - x) where r ER (i.e., no constraint). %3D ii) f(x) = x (1 – x)² where r E [0, 1]). iii) f(x) = x0.5 (3 – 2x)0.5 where xE [0, 1.5]. iv) f(x) = x0.5 + (5 – 4x)0.5 where x E (0, 1.25). -
Transcribed Image Text:Problem 1. Find x that maximizes the following functions: i) f(x) = x (2 - x) where r ER (i.e., no constraint). %3D ii) f(x) = x (1 – x)² where r E [0, 1]). iii) f(x) = x0.5 (3 – 2x)0.5 where xE [0, 1.5]. iv) f(x) = x0.5 + (5 – 4x)0.5 where x E (0, 1.25). -
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