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
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).
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7f0ea52-7353-4807-8c69-541301c66dd9%2Ff1dbdec7-aab8-4f90-bb18-7976c9a10e50%2Fje42sea_processed.jpeg&w=3840&q=75)
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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