clamped cubic spline S for a function f is defined by + + 7 (x − - - 5(x) = {a + b(x-2) - c(x - 2)² = (x - 2)² 1≤x≤2 2≤x≤3

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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A clamped cubic spline S for a function f is defined by
(x-1) + (x - 1)² + 7(x - 1)³
S(x)
la + b(x - 2) - c(x - 2)²-d(x - 2)³
Given that f'(1) = f'(3) then
a=2; b=0; c= -2; d=5/3
a=2; b=0; c= -2; d=-5/3
O
a=1; b=0; c= -2; d=-5/3
O a=9; b=24; c=-22; d=67/3
1≤x≤2
2≤x≤3
Transcribed Image Text:A clamped cubic spline S for a function f is defined by (x-1) + (x - 1)² + 7(x - 1)³ S(x) la + b(x - 2) - c(x - 2)²-d(x - 2)³ Given that f'(1) = f'(3) then a=2; b=0; c= -2; d=5/3 a=2; b=0; c= -2; d=-5/3 O a=1; b=0; c= -2; d=-5/3 O a=9; b=24; c=-22; d=67/3 1≤x≤2 2≤x≤3
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