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Suppose that fl(y) is a k-digil rounding approximation to y. Show that y - fKy) y < 0.5

Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden ISBN: 9781305253667 457

Solution for problem 28 Chapter 1.2

Numerical Analysis | 10th Edition

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Numerical Analysis | 10th Edition | ISBN: 9781305253667 | Authors: Richard L. Burden J. Douglas Faires, Annette M. Burden

Numerical Analysis | 10th Edition

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Problem 28

Suppose that fl(y) is a k-digil rounding approximation to y. Show that y - fKy) y < 0.5 x io-*+1 . \Hint: Ifr4+i < 5, then fl(y) = 0.d\d2... 4 x 10". If dk+\ > 5, then fl(y) = Q.d\d2... x 10" + JO"- *.]

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Section 1.1 — Propositions Friday, August 25, 20175:27 PM Definition 1: A proposition is a statementthat declares or claimssomethingthat is eithertrue or false,and in theory there is a way to determinewhetherit is true or false. Example 1: Are the following statements propositionsIf they are, what is their truth value" 1. "The capitalof Michiganis Lansing." (Yes, T). 2. "1 + 1 = 3" (Yes, F). 3. "x + 2 = 5" (No, becausex is not specified). 4. "What time is it" (No, it is not claimingsomething). Definition 2: Let p be a proposition.The negationof p,, is the statement:"It's not the casethat p." has the oppositetruth value of p. Negation Truth Table: p T F F T Example 2: Find the negation in the following statement.

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Chapter 1.2, Problem 28 is Solved
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Textbook: Numerical Analysis
Edition: 10
Author: Richard L. Burden J. Douglas Faires, Annette M. Burden
ISBN: 9781305253667

The answer to “Suppose that fl(y) is a k-digil rounding approximation to y. Show that y - fKy) y < 0.5 x io-*+1 . \Hint: Ifr4+i < 5, then fl(y) = 0.d\d2... 4 x 10". If dk+\ > 5, then fl(y) = Q.d\d2... x 10" + JO"- *.]” is broken down into a number of easy to follow steps, and 45 words. This textbook survival guide was created for the textbook: Numerical Analysis, edition: 10. Numerical Analysis was written by and is associated to the ISBN: 9781305253667. Since the solution to 28 from 1.2 chapter was answered, more than 245 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 76 chapters, and 1204 solutions. The full step-by-step solution to problem: 28 from chapter: 1.2 was answered by , our top Math solution expert on 03/16/18, 03:24PM.

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Suppose that fl(y) is a k-digil rounding approximation to y. Show that y - fKy) y < 0.5