2. For the function f(x)=x²e05* construct the divided difference table for the points x equals 1.3, 2.2, 3.5, 6 and 7.4 and determine the Newtons divided difference polynomial of degree 2 and 3. Find the relative errors for f (1.8) and f(5.2).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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PLEASE ANSWER NUMBER 2. MATH 221 : PLEASE GIVE DETAILED SOLUTIONS AND CORRECT ANSWERS. I WILL REPORT TO BARTLEBY THOSE TUTORS WHO WILL GIVE INCORRECT ANSWERS.
X
0
1
1.5
2.4
3
274.5
f(x)
-6
1.1
15
109.06
2. For the function f(x) = x²e05* construct the divided difference table for the points
x equals 1.3, 2.2, 3.5, 6 and 7.4 and determine the Newtons divided difference
polynomial of degree 2 and 3. Find the relative errors for f (1.8) and f(5.2).
3. Fit the curvey = ax²+bx+c to the given data below using Lagrange Polynomial
Transcribed Image Text:X 0 1 1.5 2.4 3 274.5 f(x) -6 1.1 15 109.06 2. For the function f(x) = x²e05* construct the divided difference table for the points x equals 1.3, 2.2, 3.5, 6 and 7.4 and determine the Newtons divided difference polynomial of degree 2 and 3. Find the relative errors for f (1.8) and f(5.2). 3. Fit the curvey = ax²+bx+c to the given data below using Lagrange Polynomial
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