Q.NO.1: Use appropriate Lagrange interpolating polynomials of degree one, two and three to approximate f(0.18) for the following data. X 0.1 Y=f(x) -0.29004986 0.2 0.3 0.4 -0.56079734 -0.81401972 -1.0526302 Note: Construct Degree one, two, three polynomial and then find ƒ(0.18).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Q.NO.1: Use appropriate Lagrange interpolating polynomials of degree one, two and three to
approximate f (0.18) for the following data.
X
0.1
Y=f(x) -0.29004986
0.2
0.3
0.4
-0.56079734 -0.81401972 -1.0526302
Note: Construct Degree one, two, three polynomial and then find ƒ(0.18).
Transcribed Image Text:Q.NO.1: Use appropriate Lagrange interpolating polynomials of degree one, two and three to approximate f (0.18) for the following data. X 0.1 Y=f(x) -0.29004986 0.2 0.3 0.4 -0.56079734 -0.81401972 -1.0526302 Note: Construct Degree one, two, three polynomial and then find ƒ(0.18).
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