CLAMPED SPLINE MODEL PROBLEM x1 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) 82 (x), x = [1, 2] where $1 $₁ (x) = 1 + 2Ax + 2x² - 2x³ 82 S₂ (x) = 1+a (x − 1)+4 (x − 1)²+7 (x − 1)³ What is the value of S (x) when x = 0.5? Choose the best answer. a. 1/4 b. 5/4 c. 7/4 d. 27/4
CLAMPED SPLINE MODEL PROBLEM x1 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) 82 (x), x = [1, 2] where $1 $₁ (x) = 1 + 2Ax + 2x² - 2x³ 82 S₂ (x) = 1+a (x − 1)+4 (x − 1)²+7 (x − 1)³ What is the value of S (x) when x = 0.5? Choose the best answer. a. 1/4 b. 5/4 c. 7/4 d. 27/4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
x1
=
by
S (x)
{
$₁ (x), x = [0, 1)
$2 (x), x = [1, 2]
where
$₁ (x) = 1 + 2Ax + 2x² − 2x³
S2
S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³
What is the value of S (x) when x = 0.5?
Choose the best answer.
a. 1/4
b. 5/4
c. 7/4
d. 27/4
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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
x1
=
by
S (x)
{
$₁ (x), x = [0, 1)
$2 (x), x = [1, 2]
where
$₁ (x) = 1 + 2Ax + 2x² − 2x³
S2
S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³
What is the value of S (x) when x = 0.5?
Choose the best answer.
a. 1/4
b. 5/4
c. 7/4
d. 27/4
=
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