CLAMPED SPLINE MODEL PROBLEM = Suppose S(x) interpolates f(x) atxo = 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 8₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x - 1)³ What is the value of S' (2)? Choose the best answer. a. 11 b. 27 c. 29 d. 13 =

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.3: Partial Fractions
Problem 2E
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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)
$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 value of S' (2)?
Choose the best answer.
a. 11
b. 27
c. 29
d. 13
=
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) $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 value of S' (2)? Choose the best answer. a. 11 b. 27 c. 29 d. 13 =
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