Given a clamped cubic spline interpolation: S(x) = (3(x-1) + 2(x-1)²-(x - 1)³ (4+4(x-2)(x-2)² + d(x-2)³ and f'(1) = f'(3). An approximation of f'(2.1) is : O 3.81 O 3.25 O None of the choices O 7.033 for x = [1,2] for x € [2,3]
Given a clamped cubic spline interpolation: S(x) = (3(x-1) + 2(x-1)²-(x - 1)³ (4+4(x-2)(x-2)² + d(x-2)³ and f'(1) = f'(3). An approximation of f'(2.1) is : O 3.81 O 3.25 O None of the choices O 7.033 for x = [1,2] for x € [2,3]
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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![Given a clamped cubic spline interpolation:
S(x) =
(3(x-1) + 2(x - 1)²-(x - 1)³
(4+4(x-2)(x-2)² + d(x-2)³
and f'(1) = f'(3). An approximation of f'(2.1) is:
O 3.81
O 3.25
O None of the choices
O 7.033
for x € [1,2]
for x € [2,3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6248367-4804-4fb0-897f-6a5111b0510c%2F2addfad3-f619-44eb-abcf-b212556051b9%2F506onoad_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given a clamped cubic spline interpolation:
S(x) =
(3(x-1) + 2(x - 1)²-(x - 1)³
(4+4(x-2)(x-2)² + d(x-2)³
and f'(1) = f'(3). An approximation of f'(2.1) is:
O 3.81
O 3.25
O None of the choices
O 7.033
for x € [1,2]
for x € [2,3]
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