The following data is given: x 1 2.2 3.4 4.8 6 7 y 2 2.8 3 3.2 4 5 (a) Write the polynomial in Lagrange form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 . (b) Write the polynomial in Newton's form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 .
The following data is given: x 1 2.2 3.4 4.8 6 7 y 2 2.8 3 3.2 4 5 (a) Write the polynomial in Lagrange form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 . (b) Write the polynomial in Newton's form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 .
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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The following data is given:
| x | 1 | 2.2 | 3.4 | 4.8 | 6 | 7 |
| y | 2 | 2.8 | 3 | 3.2 | 4 | 5 |
(a) Write the polynomial in Lagrange form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 .
(b) Write the polynomial in Newton's form that passes through the points; then use it to calculate the interpolated value of y at x = 5.4 .
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