Employ the following methods to find the maximum of (x) = 4x 1.8x2 + 1.2x3
Question:
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).
(c) Newton’s method (x0 = 3, εs = 1%).
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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...View the full answer
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Related Book For 
Numerical Methods For Engineers
ISBN: 9780071244299
5th Edition
Authors: Steven C. Chapra, Raymond P. Canale
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