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Page 6 - ‘ 1 i Sorting Number 1 Problem 3 Optimization...

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Unformatted text preview: / ‘ 1?, i / Sorting Number: 1 Problem 3 - Optimization Concepts. (13 points) a) (7 points) Use Newton’s method to find the minimum of 2 f(x)=—35inx+% with an initial guess of x0 = 1.0. lterate until the approximate percent error in x falls below $7. 5%. Record your iterations in the table below. Maintain four decimal places in all ‘ calculations. (Hint: The solution involves taking the first derivative of f ( x) and then solving \ I?) for Where f '(x) z 0). Iteration mm Ll If: Ml mm: 41.9qu (TM) : “LVN“. 6 Fall 2009 ...
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