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2) Employ the following methods to find the maximum of f(x) = 4x–1.8x² +1.2x³ –0.3x* (a) Golden-section search (x = -2, xy = 4, ɛ; = 1%). (b)Parabolic interpolation (xo = 1.75, x1 = 2, x2 = 2.5, itera points sequentially as in the secant method. (c) Newton's method (xo = 3, ɛ: = 1%).

2) Employ the following methods to find the maximum of f(x) = 4x–1.8x² +1.2x³ –0.3x* (a) Golden-section search (x = -2, xy = 4, ɛ; = 1%). (b)Parabolic interpolation (xo = 1.75, x1 = 2, x2 = 2.5, itera points sequentially as in the secant method. (c) Newton's method (xo = 3, ɛ: = 1%).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2) Employ the following methods to find the maximum of f(x) = 4x –1.8x2 +1.2x³ – 0.3x* (a) Golden-section search (x; = -2, xụ = 4, ɛ; = 1%). (b)Parabolic interpolation (xo = 1.75, x1 = 2, x2 = 2.5, iterations = 4). Select new points sequentially as in the secant method. (c) Newton's method (xo = 3, ɛ: = 1%).
Transcribed Image Text:2) Employ the following methods to find the maximum of f(x) = 4x –1.8x2 +1.2x³ – 0.3x* (a) Golden-section search (x; = -2, xụ = 4, ɛ; = 1%). (b)Parabolic interpolation (xo = 1.75, x1 = 2, x2 = 2.5, iterations = 4). Select new points sequentially as in the secant method. (c) Newton's method (xo = 3, ɛ: = 1%).
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