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A researcher had collected data on the forces exerted on the wires in a prosthetic limb during a controlled movement. Unfortunately, the electronics sensor was faulty, so some data points were missing from the collected data: Time (s) Force (N) 2.1 10.42 5.2 12.09 6.7 9.0568 Discover the missing data point at time = 3.9 s by using: (a) Lagrange interpolating polynomial that passes through three points. (b) Newton's divided difference (interpolation).

A researcher had collected data on the forces exerted on the wires in a prosthetic limb during a controlled movement. Unfortunately, the electronics sensor was faulty, so some data points were missing from the collected data: Time (s) Force (N) 2.1 10.42 5.2 12.09 6.7 9.0568 Discover the missing data point at time = 3.9 s by using: (a) Lagrange interpolating polynomial that passes through three points. (b) Newton's divided difference (interpolation).

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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A researcher had collected data on the forces exerted on the wires in a prosthetic limb during a controlled movement. Unfortunately, the electronics sensor was faulty, so some data points were missing from the collected data: Time (s) Force (N) 2.1 10.42 5.2 12.09 6.7 9.0568 Discover the missing data point at time = 3.9 s by using: (a) Lagrange interpolating polynomial that passes through three points. (b) Newton's divided difference (interpolation).
Transcribed Image Text:A researcher had collected data on the forces exerted on the wires in a prosthetic limb during a controlled movement. Unfortunately, the electronics sensor was faulty, so some data points were missing from the collected data: Time (s) Force (N) 2.1 10.42 5.2 12.09 6.7 9.0568 Discover the missing data point at time = 3.9 s by using: (a) Lagrange interpolating polynomial that passes through three points. (b) Newton's divided difference (interpolation).
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