Given the following table of values, use Lagrange Interpolation to find the 2nd degree polynomial of x = 3. Calculations must be done to 3 decimal places. 2 4 f(x) 9. 21 41 6.

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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Part A
Given the following table of values, use Lagrange Interpolation to find the 2nd degree
polynomial of x = 3. Calculations must be done to 3 decimal places.
x 2
(х) | 9
4
6
21
41
Part B
Given that f(x) = x² + 5, find the absolute error.
Section
Marks (%)
Part A
Formulas (L) and (P2)
3, 2 respectively
Lo
19
L1
19
L2
19
P2
13
Part B
Formula
5
20
Table 1: Showing possible mark scheme in Lagrange interpolation question
Transcribed Image Text:Part A Given the following table of values, use Lagrange Interpolation to find the 2nd degree polynomial of x = 3. Calculations must be done to 3 decimal places. x 2 (х) | 9 4 6 21 41 Part B Given that f(x) = x² + 5, find the absolute error. Section Marks (%) Part A Formulas (L) and (P2) 3, 2 respectively Lo 19 L1 19 L2 19 P2 13 Part B Formula 5 20 Table 1: Showing possible mark scheme in Lagrange interpolation question
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