Consider the nodes: X1 = -2, x2 = -1, x3 =0, X4 =1, X5 = 2. Which of the following polynomials is a fundamental Lagrange polynomial associated to one of the nodes X;? 175 62 alto geo e %3D O s(x) 290392 (x- 2)(x- 1)x(x+1)(x +2) en 21 | o l3(x) P155 2 (x-2)(x- 1)(x +1)(x+2) (x - 2)(x – 1)(x+1)(x+2) (x- 2)x(x+1)(x +2) -6 O l4(x) = %3D -6 (x – 1)x(x+1)(x – 2) O 4(x) - %3D -6

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Consider the nodes:
X1 = -2, x2 = -1, x3 = 0, X4 = 1, x5 = 2.
%3D
175
a
en 21
to one of the nodes X;?
290392
(x- 2)(x- 1)x(x+1)(x +2)
O ls(x)
755 52
(x - 2)(x – 1)(x+ 1)(x +2)
(x – 2)(x – 1)(x+ 1)(x+2)
(x - 2)x(x+1)(x + 2)
-6
O l3(x)
55 0790392
-
O l4(x)
-6
(x - 1)x(x+1)(x – 2)
O 4(x) =
%3D
-6
年
cessivo
Transcribed Image Text:Consider the nodes: X1 = -2, x2 = -1, x3 = 0, X4 = 1, x5 = 2. %3D 175 a en 21 to one of the nodes X;? 290392 (x- 2)(x- 1)x(x+1)(x +2) O ls(x) 755 52 (x - 2)(x – 1)(x+ 1)(x +2) (x – 2)(x – 1)(x+ 1)(x+2) (x - 2)x(x+1)(x + 2) -6 O l3(x) 55 0790392 - O l4(x) -6 (x - 1)x(x+1)(x – 2) O 4(x) = %3D -6 年 cessivo
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