An experiment is performed to define the relationship between x and y for a type of stainless steel. The resulting data are shown in Table Q2. Table Q2: The relationship between x and y from an experiment X y(x) (c) 3 3.7 4 3.9 5 3.9 6 4.2 7 5.A Here, A is the last two digits of the matrix. For example, a student with the matrix number CD190079 A=9. (a) Construct a natural cubic spline function from the given data (b) Evaluate the value of y(x) when x=3.4 Evaluate the value of y(x) when x=4.7

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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An experiment is performed to define the relationship between x and y for a type of stainless steel.
The resulting data are shown in Table Q2.
Table Q2: The relationship between x and y from an experiment
X
y(x)
3
3.7
4
3.9
5
3.9
6
4.2
7
5.A
Here, A is the last two digits of the matrix. For example, a student with the matrix number CD190079
A= 9.
(a)
Construct a natural cubic spline function from the given data
(b)
Evaluate the value of y(x) when x=3.4
(c)
Evaluate the value of y(x) when x=4.7
1
Transcribed Image Text:An experiment is performed to define the relationship between x and y for a type of stainless steel. The resulting data are shown in Table Q2. Table Q2: The relationship between x and y from an experiment X y(x) 3 3.7 4 3.9 5 3.9 6 4.2 7 5.A Here, A is the last two digits of the matrix. For example, a student with the matrix number CD190079 A= 9. (a) Construct a natural cubic spline function from the given data (b) Evaluate the value of y(x) when x=3.4 (c) Evaluate the value of y(x) when x=4.7 1
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