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).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Quiz Chapter 3
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:Quiz Chapter 3 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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