Find the maximum of the function: f(x) = 4 + 7x + 2x^2 − x^3 using Golden Section Search with initial conditions: xL = −1 and xU = 4 +27/40 Perform up to 5 iterations.
Find the maximum of the function: f(x) = 4 + 7x + 2x^2 − x^3 using Golden Section Search with initial conditions: xL = −1 and xU = 4 +27/40 Perform up to 5 iterations.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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PROBLEM: Find the maximum of the function:
f(x) = 4 + 7x + 2x^2 − x^3
using Golden Section Search with initial conditions: xL = −1 and
xU = 4 +27/40
Perform up to 5 iterations.
NOTE: round-off in exactly 6 decimal places.
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