3. For the function ƒ : R → R defined as f(x) = x² − 3x: - Using the golden section search method, starting with the interval [1, 3], narrow the interval containing the minimizer of f' such that the interval width becomes smaller than 0.9. Determine the midpoint of the resulting interval as an approximate value of the minimizer of f'. (p = 0.382 can be used.)
3. For the function ƒ : R → R defined as f(x) = x² − 3x: - Using the golden section search method, starting with the interval [1, 3], narrow the interval containing the minimizer of f' such that the interval width becomes smaller than 0.9. Determine the midpoint of the resulting interval as an approximate value of the minimizer of f'. (p = 0.382 can be used.)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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optımızatıon theory
![3. For the function ƒ : R → R defined as f(x) = x² − 3x:
-
Using the golden section search method, starting with the interval [1, 3], narrow the interval containing
the minimizer of f' such that the interval width becomes smaller than 0.9. Determine the midpoint of
the resulting interval as an approximate value of the minimizer of f'.
(p = 0.382 can be used.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2cd79f82-3730-49d1-8559-a01cc4e6e9ca%2F3ab0da6a-c9ff-479a-87e7-55880fc5fa02%2F87eli46_processed.png&w=3840&q=75)
Transcribed Image Text:3. For the function ƒ : R → R defined as f(x) = x² − 3x:
-
Using the golden section search method, starting with the interval [1, 3], narrow the interval containing
the minimizer of f' such that the interval width becomes smaller than 0.9. Determine the midpoint of
the resulting interval as an approximate value of the minimizer of f'.
(p = 0.382 can be used.)
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