
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
A clamped spline S for a function f is defined on [1, 3] by
S(x) = S0(x) = 1 + 2(x − 1) + 3(x − 1)^2 − (x − 1)^3
, 1 ≤ x ≤ 2,
S(x) = S1(x) = a + b(x − 2) + c(x − 2)^2 + d(x − 2)^3
, 2 ≤ x ≤ 3.
Given f'(1) = 2f'(3), find a, b, c, and d.
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