CLAMPED SPLINE MODEL PROBLEM = Suppose S(x) interpolates f(x) at xo = 0, x1 1 and 2 = 2 by a clamped spline model given by S (x) { $₁ (x), x = [0, 1) $2 (x), x = [1, 2] where $₁ (x) = 1 + 2Ax + 2x² − 2x³ S₂ (x) = 1+a (x − 1)+4 (x − 1)²+7 (x − 1)³ · What is the curvature of spline model at the ex- terior point, x = = 0? Choose the best answer. a. -8 b. -50 C. 4 d. 0 =

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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CLAMPED SPLINE MODEL PROBLEM
=
Suppose S(x) interpolates f(x) at xo = 0, x1
1 and 2 = 2 by a clamped spline model given
by
S (x)
{
$₁ (x), x = [0, 1)
S₂ (x), x = [1, 2]
where
$₁ (x) = 1 + 2Ax + 2x² − 2x³
S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³
·
What is the curvature of spline model at the ex-
terior point, x =
= 0?
Choose the best answer.
a. -8
b. -50
C. 4
d. 0
=
Transcribed Image Text:CLAMPED SPLINE MODEL PROBLEM = Suppose S(x) interpolates f(x) at xo = 0, x1 1 and 2 = 2 by a clamped spline model given by S (x) { $₁ (x), x = [0, 1) S₂ (x), x = [1, 2] where $₁ (x) = 1 + 2Ax + 2x² − 2x³ S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³ · What is the curvature of spline model at the ex- terior point, x = = 0? Choose the best answer. a. -8 b. -50 C. 4 d. 0 =
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