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# a. Show that the quadratic polynomial P() = g1 + h1 + h3( 2) interpolates the function h

ISBN: 9780534392000 331

## Solution for problem 10.4.6 Chapter 10-4

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 10.4.6

a. Show that the quadratic polynomial P() = g1 + h1 + h3( 2) interpolates the function h defined in (10.18): h() = g x(0) g(x(0) ) at = 0, 2, and 3. b. Show that a critical point of P occurs at 0 = 1 2 2 h1 h3 .

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