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 $₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³ - What is the value of S (x)when x = 2? Choose the best answer. a. 25 b. 12 c. 10 d. 23 =
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 $₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³ - What is the value of S (x)when x = 2? Choose the best answer. a. 25 b. 12 c. 10 d. 23 =
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
x1
=
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
S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³
-
What is the value of S (x)when x = 2?
Choose the best answer.
a. 25
b. 12
c. 10
d. 23
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4263c92-2d12-4f31-9c60-07ae672823ae%2Fb8d69a8e-6fe1-4426-9ae6-30cee8bc75ed%2F7vhn8ah_processed.png&w=3840&q=75)
Transcribed Image Text:CLAMPED SPLINE MODEL PROBLEM
x1
=
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
S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³
-
What is the value of S (x)when x = 2?
Choose the best answer.
a. 25
b. 12
c. 10
d. 23
=
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