The function S(x) that approximates a function f is defined on the interval [1,3] by: (1 + 2x -x³ (2+(x-1)-3(x - 1)² + (x - 1)³ Which of the following statements is true? O O S(x) = O for x = [0,1] for x € [1,2] S(x) is not a cubic spline because S' is not continuous at x=1. S(x) is a natural cubic spline. None of the choices S(x) is not a cubic spline because S" is not continuous at x=1.
The function S(x) that approximates a function f is defined on the interval [1,3] by: (1 + 2x -x³ (2+(x-1)-3(x - 1)² + (x - 1)³ Which of the following statements is true? O O S(x) = O for x = [0,1] for x € [1,2] S(x) is not a cubic spline because S' is not continuous at x=1. S(x) is a natural cubic spline. None of the choices S(x) is not a cubic spline because S" is not continuous at x=1.
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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Q15
![The function S(x) that approximates a function f is defined on the interval [1,3] by:
(1+2x-x³
for x = [0,1]
(2+(x-1)-3(x-1)² + (x - 1)³
for x = [1,2]
Which of the following statements is true?
O
S(x)
O
S(x) is not a cubic spline because S'
is not continuous at x=1.
O
O None of the choices
S(x) is a natural cubic spline.
S(x) is not a cubic spline because S"
is not continuous at x=1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70e15475-bfd0-44c7-90b8-6640c70ea026%2F6d3103fb-6fe4-4f4d-a34c-db710951d368%2Focby8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The function S(x) that approximates a function f is defined on the interval [1,3] by:
(1+2x-x³
for x = [0,1]
(2+(x-1)-3(x-1)² + (x - 1)³
for x = [1,2]
Which of the following statements is true?
O
S(x)
O
S(x) is not a cubic spline because S'
is not continuous at x=1.
O
O None of the choices
S(x) is a natural cubic spline.
S(x) is not a cubic spline because S"
is not continuous at x=1.
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