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) $₁ (x), x = [0, 82 (x), x = [1, 2] where $₁ (x) = 1 + 2Ax + 2x² − 2x³ $1 - S2 (x) = 1+a (x − 1)+4 (x − 1)²+7 (x − 1)³ What is the slope of the tangent line at interior point? Choose the best answer. A.13 B.O C.-2 D.11

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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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
$1
=
S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³
-
What is the slope of the tangent line at interior
point?
Choose the best answer.
A.13
B.0
C.-2
D.11
=
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 $1 = S₂ (x) = 1+a (x − 1)+4 (x − 1)² +7 (x − 1)³ - What is the slope of the tangent line at interior point? Choose the best answer. A.13 B.0 C.-2 D.11 =
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