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Unformatted text preview: Answers for Review Questions for Lectures 14 Review Lectures 14 Problems uestion 2. Derive a closed form for the estimate of the olution of the equation below obtained by applying 2 iterations of Newton’s Method with the initial estimate 0. uestion 4. Compute the quadratic least squares . , , 2 2 π π − = x x sin 1 , , x x that interpolate uestion 3. Compute a linear combination of functions at 2 . sin 1 . = − x x uestion 1. Do problem 13 on page 79 of the textbook. pproximation to the function x cos over . ] , [ 2 2 π π − uestion 5. Use GramSchmidt to compute orthonormal unctions from the sequence θ θ θ , sin , cos over . ] , [ π uestion 6. Do problem 1 on page 215 of the textbook. Question 1 o problem 13 on page 79 of the textbook. et ind an interval [a,b] 2 ) ( − − = x e x f x and for which α ontaining α be the largest root of he bisection method will onverge to . α Then estimate he number of iterates needed to find α within an ccuracy of . 10 5 8 − × Answer: [a,b] = [1,2]....
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This note was uploaded on 01/06/2012 for the course MA 2213 taught by Professor Michael during the Fall '07 term at National University of Singapore.
 Fall '07
 Michael
 Numerical Analysis

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