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).

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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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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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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