A natural cubic spline S that approximates a function f on [1,3] is defined by : (2+²(x-1)+ a(x - 1)³ for x = [1,2] (3 + b(x-2) + c(x - 2)² + d(x-2)³ for x € [2,3] S(x): The values of a, b, c and d are respectively: None of the choices O O a = 3/4, b = 3/2, c = 3/4 and d=-1/4. O a = 1/4, b = 3/2, c = 3/4 and d=-1/4. a = 1/4, b = 3/2, c = 3/4 and d=-3/4.
A natural cubic spline S that approximates a function f on [1,3] is defined by : (2+²(x-1)+ a(x - 1)³ for x = [1,2] (3 + b(x-2) + c(x - 2)² + d(x-2)³ for x € [2,3] S(x): The values of a, b, c and d are respectively: None of the choices O O a = 3/4, b = 3/2, c = 3/4 and d=-1/4. O a = 1/4, b = 3/2, c = 3/4 and d=-1/4. a = 1/4, b = 3/2, c = 3/4 and d=-3/4.
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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![A natural cubic spline S that approximates a function f on [1,3] is defined by:
· (2
+ ²/(x-1) + a(x-1)³
for x = [1,2]
(3 + b(x-2) + c(x - 2)² + d(x-2)³ for x € [2,3]
S(x)
The values of a, b, c and d are respectively:
None of the choices
O a = 1/4, b = 3/2, c = 3/4 and d=-3/4.
O a = 3/4, b = 3/2, c = 3/4 and d=-1/4.
Oa=1/4, b = 3/2, c = 3/4 and d=-1/4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6248367-4804-4fb0-897f-6a5111b0510c%2F405a6c1b-721b-4b80-8e43-d0ec7523537a%2F6ezxyz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A natural cubic spline S that approximates a function f on [1,3] is defined by:
· (2
+ ²/(x-1) + a(x-1)³
for x = [1,2]
(3 + b(x-2) + c(x - 2)² + d(x-2)³ for x € [2,3]
S(x)
The values of a, b, c and d are respectively:
None of the choices
O a = 1/4, b = 3/2, c = 3/4 and d=-3/4.
O a = 3/4, b = 3/2, c = 3/4 and d=-1/4.
Oa=1/4, b = 3/2, c = 3/4 and d=-1/4.
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