6. Using the Newton's backward interpolation formula construct an interpolation polynomial of degree 3 for the data f(- 0.75) = - 0.07181250, f(- 0.5) = - 0.024750, f(- 0.25) = 0.33493750, f(0) = 1.1010. Hence, find f(- 1/3).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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6. Using the Newton's backward interpolation formula construct an interpolation polynomial of degree 3
for the data f(- 0.75) = - 0.07181250, 1(- 0.5) = - 0.024750, f(- 0.25) = 0.33493750, 1(0) = 1.1010.
Hence, find f(- 1/3),
Transcribed Image Text:6. Using the Newton's backward interpolation formula construct an interpolation polynomial of degree 3 for the data f(- 0.75) = - 0.07181250, 1(- 0.5) = - 0.024750, f(- 0.25) = 0.33493750, 1(0) = 1.1010. Hence, find f(- 1/3),
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