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Question 3 1. Given the following data A₁=0 I₂ = 1 Fo=11 -4 I3 = 2 5 -1 0 Fill in the Newton divided -difference table. fTi, Ti+1 T₁,.., 4+2 TO,.., 13 Xi -1 ww** **** 0 **** **** 1 **** **** 2 2. Deduce the Newton form interpolating polymonial of the function f in the poin (-1,0, 1, 2). Given the following data Io = 0 I₁ = 1 0 x₂ = 2 -1 5 (a) Find the cardinal functions Lo, L₁ and L₂ associated to the points o, 1 a x2.

Question 3 1. Given the following data A₁=0 I₂ = 1 Fo=11 -4 I3 = 2 5 -1 0 Fill in the Newton divided -difference table. fTi, Ti+1 T₁,.., 4+2 TO,.., 13 Xi -1 ww** **** 0 **** **** 1 **** **** 2 2. Deduce the Newton form interpolating polymonial of the function f in the poin (-1,0, 1, 2). Given the following data Io = 0 I₁ = 1 0 x₂ = 2 -1 5 (a) Find the cardinal functions Lo, L₁ and L₂ associated to the points o, 1 a x2.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 3: 1. Given the following data I3 = 2 I To=11 -4 21=0 -1 f(x₁) Fill in the Newton divided -difference table. fri fro..., 3 Xi -1 www. 0 **** **** 1 **** 2 **** 2. Deduce the Newton form interpolating polymonial of the function f in the poin (-1,0, 1, 2). rl Given the following data Xi Io = 0 f(x₂) x₂ = 2 -1 2₁ = 1 0 5 (a) Find the cardinal functions Lo, L₁ and L₂ associated to the points To, ₁ a x2. ) Deduce the Lagrange form interpolating polymonial of the function f in points (0, 1, 2). 2₂=1 0
Transcribed Image Text:Question 3: 1. Given the following data I3 = 2 I To=11 -4 21=0 -1 f(x₁) Fill in the Newton divided -difference table. fri fro..., 3 Xi -1 www. 0 **** **** 1 **** 2 **** 2. Deduce the Newton form interpolating polymonial of the function f in the poin (-1,0, 1, 2). rl Given the following data Xi Io = 0 f(x₂) x₂ = 2 -1 2₁ = 1 0 5 (a) Find the cardinal functions Lo, L₁ and L₂ associated to the points To, ₁ a x2. ) Deduce the Lagrange form interpolating polymonial of the function f in points (0, 1, 2). 2₂=1 0
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