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For a function f, the forward-divided difference (i.e., divided difference) is given by To=0.0 fol? 1=0.4 ₁-? 22 0.7 72-6 a) Find the missing entries. 110,21]=? 1₁.1₂-10 120.1.2 b) Construct the polynomial when the data is given in the order of zo. 1.2. c) Construct the polynomial when the data is given in the order of 22, 21, 20

For a function f, the forward-divided difference (i.e., divided difference) is given by To=0.0 fol? 1=0.4 ₁-? 22 0.7 72-6 a) Find the missing entries. 110,21]=? 1₁.1₂-10 120.1.2 b) Construct the polynomial when the data is given in the order of zo. 1.2. c) Construct the polynomial when the data is given in the order of 22, 21, 20

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 4 For a function f, the forward-divided difference (i.e., divided difference) is given by zo=0.0 fzo] =? ₁0.4 [₁]? ₂0.7 /₂-6 110,21] ? f₁.₂10 fo..] a) Find the missing entries. b) Construct the polynomial when the data is given in the order of ro. 1, 2. e) Construct the polynomial when the data is given in the order of 22, 21, 20 d) Are the polynomials that you found in part (a) and part (b) the same? Justify your answers. 2
Transcribed Image Text:Question 4 For a function f, the forward-divided difference (i.e., divided difference) is given by zo=0.0 fzo] =? ₁0.4 [₁]? ₂0.7 /₂-6 110,21] ? f₁.₂10 fo..] a) Find the missing entries. b) Construct the polynomial when the data is given in the order of ro. 1, 2. e) Construct the polynomial when the data is given in the order of 22, 21, 20 d) Are the polynomials that you found in part (a) and part (b) the same? Justify your answers. 2
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