Based on data given in table 1: k Xk Ук 0 3 0.5 Table 1 1 6 1.0 2 9 2.0 Estimate the following: a) y(5) using Newton's Forward Difference Interpolation. b) y(5) using Lagrange Interpolating Polynomials c) A linear polynomial p(x) = a + bx using Least Square Approximation. 3 12 2.9 (Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)
Based on data given in table 1: k Xk Ук 0 3 0.5 Table 1 1 6 1.0 2 9 2.0 Estimate the following: a) y(5) using Newton's Forward Difference Interpolation. b) y(5) using Lagrange Interpolating Polynomials c) A linear polynomial p(x) = a + bx using Least Square Approximation. 3 12 2.9 (Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)
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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![Based on data given in table 1:
k
Xk
Ук
0
3
0.5
Table 1
1
6
1.0
2
9
2.0
Estimate the following:
a) y(5) using Newton's Forward Difference Interpolation.
b) y(5) using Lagrange Interpolating Polynomials
c) A linear polynomial p(x) = a + bx using Least Square Approximation.
3
12
2.9
(Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb327b2eb-0519-4338-b272-4b22ae6e17ee%2F65d2ac06-245b-497c-8bb0-8bd7dd597779%2F3wrr62_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Based on data given in table 1:
k
Xk
Ук
0
3
0.5
Table 1
1
6
1.0
2
9
2.0
Estimate the following:
a) y(5) using Newton's Forward Difference Interpolation.
b) y(5) using Lagrange Interpolating Polynomials
c) A linear polynomial p(x) = a + bx using Least Square Approximation.
3
12
2.9
(Do calculations in 4 decimal points and give your answer accurate to 2 decimal points)
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