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Consider the following minimization problem min f ( x ) = x ^ 2 + 2 sin x Subject to x E [ - 1

Consider the following minimization problem
min f(x)= x^2+2sin x
Subject to x E [-1,1].
(1)
Starting with the interval [-1,1]use the Fibonacci method to obtain a
sub-interval which contains the minimizer with size less than or equal to 1.
The answers must be derived in hand rather than a computer program.

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