5. Given the following points (2,5), (4,6), (5,3) calculate the second order interpolation polynomial with Lagrange's formula. Remember that p(x)=f(xo) Lo + f(x₁) L₁ + f(x2)L2 where (x-x₁)(x-x₂) (Xo-x₁)(x0 - x₂) (x - x0)(x-x₂) (x1 - x0)(x1 - x₂) (x - x0)(x-x₁) (x2 - x0)(x2-x₁) 5.1 Graph the calculated polynomial and the given points using GeoGebra. Lo = L₁ = Lo

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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ФЫ В А ПРО ВА ПРО Л ДЗАПРОЛДЖЭ
ЯЧСМИТНЧСМИТЬБНСМИТЬБЮ
SOLVE STEP BY STEP IN DIGITAL FORMAT
5. Given the following points (2,5), (4,6), (5,3) calculate the second order interpolation
polynomial with Lagrange's formula. Remember that
p(x) = f(xo)Lo + f(x1)41 + f(x2)L2
where
(x - X1 )(x - X2)
(X0 - X1)(X0 - X2)
(x-xo)(x-x2)
(X1 - Xo)(Xi - X2)
(x-xo)(x - X1)
Lo= (X2 - Xo)(X2 - X1)
Lo
4₁
=
=
5.1 Graph the calculated polynomial and the given points using GeoGebra.
-ИцукенгШУКЕНГ Ш Щ ЭКЕНГШЩЗХъ
Transcribed Image Text:ФЫ В А ПРО ВА ПРО Л ДЗАПРОЛДЖЭ ЯЧСМИТНЧСМИТЬБНСМИТЬБЮ SOLVE STEP BY STEP IN DIGITAL FORMAT 5. Given the following points (2,5), (4,6), (5,3) calculate the second order interpolation polynomial with Lagrange's formula. Remember that p(x) = f(xo)Lo + f(x1)41 + f(x2)L2 where (x - X1 )(x - X2) (X0 - X1)(X0 - X2) (x-xo)(x-x2) (X1 - Xo)(Xi - X2) (x-xo)(x - X1) Lo= (X2 - Xo)(X2 - X1) Lo 4₁ = = 5.1 Graph the calculated polynomial and the given points using GeoGebra. -ИцукенгШУКЕНГ Ш Щ ЭКЕНГШЩЗХъ
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