e. Compute f(1.75) from the following data using Lagrange Interpolation Formula formula given IV.LAGRANGE'S INTERPOLATION FORMULA (LIF)(x- x1)(x- x2)...(x– xn)f(x) =(xo-x1)(xo-x2)..(xo – xn)f (xo)(x- xo)(x- x2.(x- xn)(x1-x0)(x1- x2)...(x1 – Xn)f(x))(x- xo)(x- x1)..(x- xn)f(x2)(x2-x0) (x2- x1)..(x2 – xn)(x- xo)(x- x1.(x- xn-1)+f(xn)(xn-xo)(xn- x1)..(*n – xn-1) Compute f(1.75) from the following data using Lagrange Interpolation Formulaе.-10.51.52.53f(x)155.062511.562539.062571

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Compute f(1.75) from the following data using Lagrange Interpolation Formula -1 0.5 1.5 2.5 f(x) 15 5.0625 11.5625 39.0625 71

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

e. Compute f(1.75) from the following data using Lagrange Interpolation Formula

formula given

IV.
LAGRANGE'S INTERPOLATION FORMULA (LIF)
(x- x1)(x- x2)...(x– xn)
f(x) =
(xo-x1)(xo-x2)..(xo – xn)
f (xo)
(x- xo)(x- x2.(x- xn)
(x1-x0)(x1- x2)...(x1 – Xn)
f(x))
(x- xo)(x- x1)..(x- xn)
f(x2)
(x2-x0) (x2- x1)..(x2 – xn)
(x- xo)(x- x1.(x- xn-1)
+
f(xn)
(xn-xo)(xn- x1)..(*n – xn-1)

Compute f(1.75) from the following data using Lagrange Interpolation Formula
е.
-1
0.5
1.5
2.5
3
f(x)
15
5.0625
11.5625
39.0625
71

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