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.

PROBLEM: Find the maximum of the function:
f(x) = 4 + 7x + 2x² – x³
using Golden Section Search with initial conditions: x,
27
%3D
:-1 and
Xy = 4 +
40
Perform up to 5 iterations.
Transcribed Image Text:PROBLEM: Find the maximum of the function: f(x) = 4 + 7x + 2x² – x³ using Golden Section Search with initial conditions: x, 27 %3D :-1 and Xy = 4 + 40 Perform up to 5 iterations.
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