a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Findy if the coefficient of x in P3(x) is 6 by using Newton or Lagrange interpolatingpolynomial. Then calculate P3(0.25).Table 10.512y=f(x) 0.6y3b) Using the data given in Table 2, approximate f(2.2), f(0.8), f(5.5) employing theappropriate Newton Gregory interpolation formula and Stirling's formula.Table 2240.3y=f(x)58

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a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if the coefficient of x³ in P3(x) is 6 by using Newton or Lagrange interpolating polynomial. Then calculate P3(0.25). Table 1 0.5 1 y=f(x)| 0.6 y 3 2 2.

a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find y if the coefficient of x³ in P3(x) is 6 by using Newton or Lagrange interpolating polynomial. Then calculate P3(0.25). Table 1 0.5 1 y=f(x)| 0.6 y 3 2 2.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 66E

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Question

a) Let P3(x) (classical) be the interpolating polynomial for the data given in Table 1. Find
y if the coefficient of x in P3(x) is 6 by using Newton or Lagrange interpolating
polynomial. Then calculate P3(0.25).
Table 1
0.5
1
2
y=f(x) 0.6
y
3
b) Using the data given in Table 2, approximate f(2.2), f(0.8), f(5.5) employing the
appropriate Newton Gregory interpolation formula and Stirling's formula.
Table 2
2
4
0.3
y=f(x)
5
8

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