The function f(x) = x² − 3x³ − 4x² − 400x + 150 is unimodal on the interval [-8; 11]. Make use of the Fibonacci Method and perform five iterations to narrow down the interval surrounding the minimiser, so that only after the Nth iteration the interval range has narrowed to a maximum width of 0.05 (e = 0.05).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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The function f(x) = x² – 3x³ − 4x² − 400x +
150 is unimodal on the interval [−8; 11]. Make
use of the Fibonacci Method and perform five
iterations to narrow down the interval
surrounding the minimiser, so that only after the
Nth iteration the interval range has narrowed to
a maximum width of 0.05 (e = 0.05).
Transcribed Image Text:- The function f(x) = x² – 3x³ − 4x² − 400x + 150 is unimodal on the interval [−8; 11]. Make use of the Fibonacci Method and perform five iterations to narrow down the interval surrounding the minimiser, so that only after the Nth iteration the interval range has narrowed to a maximum width of 0.05 (e = 0.05).
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