4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1, 1), (2,9), (3, 29). Ans. 2.497 5. Obtain interpolating polynomial for the following table, and hence compute the value of f(2.5) with the help of Lagrange formula. 1 X 3 4 Ans. x³, 15.625 f(x) 1 27 64 28

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 4E
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4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1, 1),
(2,9), (3, 29).
Ans. 2.497
5. Obtain interpolating polynomial for the following table, and hence compute the value of f(2.5)
with the help of Lagrange formula.
1
X
3
4
Ans. x³, 15.625
f(x)
1
27
64
28
Transcribed Image Text:4. Use Lagrange interpolating polynomial to compute the value of f(1.3) for data points (0,-1), (1, 1), (2,9), (3, 29). Ans. 2.497 5. Obtain interpolating polynomial for the following table, and hence compute the value of f(2.5) with the help of Lagrange formula. 1 X 3 4 Ans. x³, 15.625 f(x) 1 27 64 28
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