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7. The following data is given: 3.4 3 2.2 4.8 2 2.8 3.2 4 5 (a) Write the polynomial in Lagrange form that passes through the points; then use it to calculate the inter- polated 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 inter- polated value of y at x = 5.4.

7. The following data is given: 3.4 3 2.2 4.8 2 2.8 3.2 4 5 (a) Write the polynomial in Lagrange form that passes through the points; then use it to calculate the inter- polated 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 inter- polated value of y at x = 5.4.

Advanced Engineering Mathematics
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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7. The following data is given: 6 7 2.2 3.4 4.8 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 inter- polated 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 inter- polated value of y at x = 5.4 .
Transcribed Image Text:7. The following data is given: 6 7 2.2 3.4 4.8 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 inter- polated 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 inter- polated value of y at x = 5.4 .
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