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The following table shows data of velocity versus time that has been collected by an engineer in a lab test: Time, t (s) 5 8 10 Velocity, v (ms") 23 45 50 a. Interpolate polynomial degree 2, P2 of the data by using the Lagrange Interpolation. Hence estimate the value of velocity, v when time, t is 7. b. Interpolate polynomial degree 2, P2 of the data by using the Newton Divided Difference Interpolation. Hence estimate the value of velocity, v when time, t is 7.

The following table shows data of velocity versus time that has been collected by an engineer in a lab test: Time, t (s) 5 8 10 Velocity, v (ms") 23 45 50 a. Interpolate polynomial degree 2, P2 of the data by using the Lagrange Interpolation. Hence estimate the value of velocity, v when time, t is 7. b. Interpolate polynomial degree 2, P2 of the data by using the Newton Divided Difference Interpolation. Hence estimate the value of velocity, v when time, t is 7.

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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Roots of non-linear equations and Interpolation polynomials

The following table shows data of velocity versus time that has been collected by an engineer in a lab test: Time, t (s) 8 10 Velocity, v (ms') 23 45 50 a. Interpolate polynomial degree 2, P2 of the data by using the Lagrange Interpolation. Hence estimate the value of velocity, v when time, t is 7. b. Interpolate polynomial degree 2, P2 of the data by using the Newton Divided Difference Interpolation. Hence estimate the value of velocity, v when time, t is 7.
Transcribed Image Text:The following table shows data of velocity versus time that has been collected by an engineer in a lab test: Time, t (s) 8 10 Velocity, v (ms') 23 45 50 a. Interpolate polynomial degree 2, P2 of the data by using the Lagrange Interpolation. Hence estimate the value of velocity, v when time, t is 7. b. Interpolate polynomial degree 2, P2 of the data by using the Newton Divided Difference Interpolation. Hence estimate the value of velocity, v when time, t is 7.
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