1. A function is given by, f(x) = 4x 1.8x² + 1.2x³ – 0.3x4 Find the maximum using the following methods: (a) Golden-section search (x) = -2, xu = 4, percent error < 1%). (b) Parabolic interpolation (xo = 1.75, x₁ = 2, x₂ = 2.5, iterations = 4) (c) Newton's method (xo = 3, perecent error < 1%).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. A function is given by,
f(x) = 4x 1.8x² + 1.2x³ – 0.3x4
Find the maximum using the following methods:
(a) Golden-section search (x) = -2, xu = 4, percent error < 1%).
(b) Parabolic interpolation (xo = 1.75, x₁ = 2, x₂ = 2.5, iterations = 4)
(c) Newton's method (xo = 3, perecent error < 1%).
Transcribed Image Text:1. A function is given by, f(x) = 4x 1.8x² + 1.2x³ – 0.3x4 Find the maximum using the following methods: (a) Golden-section search (x) = -2, xu = 4, percent error < 1%). (b) Parabolic interpolation (xo = 1.75, x₁ = 2, x₂ = 2.5, iterations = 4) (c) Newton's method (xo = 3, perecent error < 1%).
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