:Use a Newton-Gregory polynomial (Forward & Backward) of degree 3 that fit table below, then find interpolates f (0.25) also estimate the error. X 0.2 0.22 0.24 0.26 0,28 0.29 Sin x 0.1987 0.2182 0.2377 0.2571 0.2764 0.2860

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Q2: Use a Newton-Gregory polynomial (Forward & Backward) of degree 3 that
fit table below, then find interpolates f (0.25) also estimate the error.
0.2
0.22
0.24
0.26
0,28
0.29
Sin x
0.1987
0.2182
0.2377
0.2571
0.2764
0.2860
Transcribed Image Text:Q2: Use a Newton-Gregory polynomial (Forward & Backward) of degree 3 that fit table below, then find interpolates f (0.25) also estimate the error. 0.2 0.22 0.24 0.26 0,28 0.29 Sin x 0.1987 0.2182 0.2377 0.2571 0.2764 0.2860
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