1. Employ the following methods to find the maximum of f(x) = 4x – 1.8x² + 1.2x – 0.3x* (a) Golden-section search x, = -2, x, = 4, ɛ, = 0.01%. (b) By finding the root of the derivative of the function, then use bracket or open method on the search for the root of the derivative on the interval x, -2, x, = 4, ɛ, = 0.00001%. Es

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Employ the following methods to find the maximum of
f(x) = 4x – 1.8x² + 1.2x – 0.3x*
(a) Golden-section search x, = -2, x, = 4, ɛ, = 0.01%.
(b) By finding the root of the derivative of the function, then use
bracket or open method on the search for the root of the derivative on
the interval x, = -2, x, = 4, ɛ, = 0.00001%.
Transcribed Image Text:1. Employ the following methods to find the maximum of f(x) = 4x – 1.8x² + 1.2x – 0.3x* (a) Golden-section search x, = -2, x, = 4, ɛ, = 0.01%. (b) By finding the root of the derivative of the function, then use bracket or open method on the search for the root of the derivative on the interval x, = -2, x, = 4, ɛ, = 0.00001%.
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