provide Handwritten answer find the quadratic polynomial curve (second-order polynomial) through the three data points using the method (a) Lagrange interpolation and (b) Newton interpolation.
provide Handwritten answer find the quadratic polynomial curve (second-order polynomial) through the three data points using the method (a) Lagrange interpolation and (b) Newton interpolation.
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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Please provide Handwritten answer
find the quadratic polynomial curve (second-order polynomial) through the three data points using the method
(a) Lagrange interpolation and (b) Newton interpolation.
![x[m]
z[m] Lagrange interpolation
Z[m] Newton interpolation
10.3
172.0
172.0
13.15
16
18.85
...
21.7
168.2
168.2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0609a7c-1d18-48d2-a782-3cd504e08b70%2F2142f36f-a5fb-4f6d-998f-1c666cbd644a%2F5444q3q_processed.png&w=3840&q=75)
Transcribed Image Text:x[m]
z[m] Lagrange interpolation
Z[m] Newton interpolation
10.3
172.0
172.0
13.15
16
18.85
...
21.7
168.2
168.2
![The table and figure below are the elevation of the ground on a cliff.
Length, x[m]
Elevation, z[m]
10.3
15.4
21.7
172.0
171.2
168.2
172.5
172
171.5
171
170.5
z[m] 170
169.5
169
168.5
168
10
11
12
13
14
15
16
17
18
19
20
21
22
x[m]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0609a7c-1d18-48d2-a782-3cd504e08b70%2F2142f36f-a5fb-4f6d-998f-1c666cbd644a%2F7h5rygk_processed.png&w=3840&q=75)
Transcribed Image Text:The table and figure below are the elevation of the ground on a cliff.
Length, x[m]
Elevation, z[m]
10.3
15.4
21.7
172.0
171.2
168.2
172.5
172
171.5
171
170.5
z[m] 170
169.5
169
168.5
168
10
11
12
13
14
15
16
17
18
19
20
21
22
x[m]
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