O 7.033 3.81 O 3.25 O None of the choices

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Q6
Given a clamped cubic spline interpolation:
(3(x-1) + 2(x-1)²-(x - 1)³
S(x) = (4+4(x-2)(x - 2)² + d(x-2)³
and f'(1) = f'(3). An approximation of f'(2.1) is:
O 7.033
O 3.81
O 3.25
O None of the choices
for x = [1,2]
for x € [2,3]
Transcribed Image Text:Given a clamped cubic spline interpolation: (3(x-1) + 2(x-1)²-(x - 1)³ S(x) = (4+4(x-2)(x - 2)² + d(x-2)³ and f'(1) = f'(3). An approximation of f'(2.1) is: O 7.033 O 3.81 O 3.25 O None of the choices for x = [1,2] for x € [2,3]
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