Work out (h) and (j) (h) Write down the Lagrange's polynomial through (xo, fo), (x1, f1), (x2, f2). Hence express3x² +x+1(x– 1)(x– 2)(x– 3)as sum of partial fractions.(i) Use Lagrange interpolation to evaluate sin37º given that:38"35º40ºsinx" | 0.57358 | 0.61566 | 0.64279(G) A polynomial f(x) of low degree is tabulated as follows:-3-2 |-1|0|1 | 2 3 4 5 6|f(x) | – 30 | –12 0 3 45 | 9 19 38 69Two errors in the values of f(x) are suspected.Find the product of the corrected values.

Hello. Since your question has multiple parts, we will solve the first part for you. If you want…

Answered: (h) Write down the Lagrange's…

(h) Write down the Lagrange's polynomial through (xo, fo). (x1,fi), (X2, f2). Hence express 3x² +x+1 (x – 1)(x– 2)(x– 3) as sum of partial fractions.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.10: Partial Fractions

Problem 17E

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Question

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Work out (h) and (j)

(h) Write down the Lagrange's polynomial through (xo, fo), (x1, f1), (x2, f2). Hence express
3x² +x+1
(x– 1)(x– 2)(x– 3)
as sum of partial fractions.
(i) Use Lagrange interpolation to evaluate sin37º given that:
38"
35º
40º
sinx" | 0.57358 | 0.61566 | 0.64279
(G) A polynomial f(x) of low degree is tabulated as follows:
-3
-2 |-1|0|1 | 2 3 4 5 6
|f(x) | – 30 | –12 0 3 45 | 9 19 38 69
Two errors in the values of f(x) are suspected.Find the product of the corrected values.

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