Employ the following methods to find the maximum of (x) 4x 1 8x2 1 2x3 0 3x4 (a) Golden section search (x1 2, xu 4, s 1 ) (b) Quadratic interpolation (x0 1 75, x1 2, x2 2 5, iterations 4) (c) Newtons method (x0 3, s 1 ) ...

a First the golden ratio can be used to create the interior points The function can be evaluated at the interior points Because f x 1 f x 2 the maximu ...

Employ the following methods to find the maximum of (x) = 4x 1.8x2 + 1.2x3

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Employ the following methods to find the maximum of

ƒ(x) = 4x – 1.8x2 + 1.2x3 – 0.3x4

(a) Golden-section search (x1 = –2, xu = 4, εs = 1%).

(b) Quadratic interpolation (x0 = 1.75, x1 = 2, x2 = 2.5, iterations = 4).

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Numerical Methods For Engineers

ISBN: 9780071244299

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Authors: Steven C. Chapra, Raymond P. Canale

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Question Posted: Nov 25, 2011 07:35 AM

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Employ the following methods to find the maximum of (x) = 4x 1.8x2 + 1.2x3

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