If ƒ (0) = 1, ƒ (1) = 2, ƒ(2) = 33, f(3) = 244. Find a cubic spline approximation, assuming S" (0) = S" (3) = 0. Also, Find f(2.5) and f'(2.5).

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
Question
If f(0) = 1,f(1) = 2,ƒ(2) = 33, f(3) = 244. Find a cubic spline approximation,
assuming S" (0) = S" (3) = 0. Also, Find f (2.5) and f'(2.5).
-
Transcribed Image Text:If f(0) = 1,f(1) = 2,ƒ(2) = 33, f(3) = 244. Find a cubic spline approximation, assuming S" (0) = S" (3) = 0. Also, Find f (2.5) and f'(2.5). -
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