Given a clamped cubic spline interpolation that approximates a function f: (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'(2.5) is: O None of the choices 7.033 3.25 S(x) = 3.81 for x = [1,2] for x €[2,3]
Given a clamped cubic spline interpolation that approximates a function f: (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'(2.5) is: O None of the choices 7.033 3.25 S(x) = 3.81 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 that approximates a function f:
(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'(2.5) is:
None of the choices
0 000
7.033
3.25
S(x) =
3.81
for x = [1,2]
for x € [2.3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6b977fdc-1989-4426-ad67-a65fa1291d30%2F8051ea3f-a3b9-4f98-9b13-f3986d247ada%2Fdjopod_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given a clamped cubic spline interpolation that approximates a function f:
(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'(2.5) is:
None of the choices
0 000
7.033
3.25
S(x) =
3.81
for x = [1,2]
for x € [2.3]
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