Consider the data given below: x 0 2 3 f(x) 7 11 28 (i) Find the Lagrange interpolation and Newton interpolation polynomials for the above data. Write your final polynomial in the form ax2 + bx + c. (ii) If one more data f(x) = 63 when x = 4 is added in the data set above, find the Newton interpolation polynomial. Write your final polynomial in the form ax3 + bx3 + cx + d. show full working
Consider the data given below: x 0 2 3 f(x) 7 11 28 (i) Find the Lagrange interpolation and Newton interpolation polynomials for the above data. Write your final polynomial in the form ax2 + bx + c. (ii) If one more data f(x) = 63 when x = 4 is added in the data set above, find the Newton interpolation polynomial. Write your final polynomial in the form ax3 + bx3 + cx + d. show full working
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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Question
Consider the data given below:
x 0 2 3
f(x) 7 11 28
(i) Find the Lagrange interpolation and Newton interpolation polynomials for the above
data. Write your final polynomial in the form ax2 + bx + c.
(ii) If one more data f(x) = 63 when x = 4 is added in the data set above, find the Newton
interpolation polynomial. Write your final polynomial in the form ax3 + bx3 + cx + d.
show full working
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