CLAMPED SPLINE MODEL PROBLEM x1 Suppose S(x) interpolates f(x) at x = 0, x₁ = 1 and 2 = 2 by a clamped spline model given by [0, 1) S (x) { $₁ (x), x = [0, S2 (x), x = [1, 2] where $1 (x) = 1 + 2Ax + 2x² - 22³ S2 (x) = 1+a (x − 1)+4 (x − 1)² +7 (x - 1)³ What is the value of a? Choose the best answer. A.13 B.0 C.-2 D. 11 =

Advanced Engineering Mathematics
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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 co = 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 value of a?
Choose the best answer.
A.13
B.O
C.-2
D.11
=
Transcribed Image Text:CLAMPED SPLINE MODEL PROBLEM = Suppose S(x) interpolates f(x) at co = 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 value of a? Choose the best answer. A.13 B.O C.-2 D.11 =
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