Question # 44: Consider the following data set generated by a function, f (x) X f (x) 0.0 0.2 0.4 1.01 1.22 1.50 1. " Find the interpolating polynomial for the above data of appropriate order using Newton's Divided/Difference method. 2. Use the interpolating polynomial to find the approximate value of f (0.35). 3. ! Add a data point f (0.7) = 1.82to the given data, and find the new interpolating polynomial that includes this new data point.
Question # 44: Consider the following data set generated by a function, f (x) X f (x) 0.0 0.2 0.4 1.01 1.22 1.50 1. " Find the interpolating polynomial for the above data of appropriate order using Newton's Divided/Difference method. 2. Use the interpolating polynomial to find the approximate value of f (0.35). 3. ! Add a data point f (0.7) = 1.82to the given data, and find the new interpolating polynomial that includes this new data point.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Related questions
Question
![Question # 44: Consider the following data set
generated by a function, f (x)
0.0
0.2
0.4
f (x) | 1.01
1.22
1.50
! Find the interpolating polynomial for
the above data of appropriate order using
1. :*
Newton's Divided/Difference method.
2. :
! Use the interpolating polynomial to
find the approximate value of f (0.35).
Add a data point f (0.7) = 1.82to
the given data, and find the new interpolating
polynomial that includes this new data point.
3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87ad2ca8-d66d-4e75-84b8-141a4dbbd1f2%2Fc7b04702-d703-4b0d-a158-54ba1e251b9f%2F6e5itea_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question # 44: Consider the following data set
generated by a function, f (x)
0.0
0.2
0.4
f (x) | 1.01
1.22
1.50
! Find the interpolating polynomial for
the above data of appropriate order using
1. :*
Newton's Divided/Difference method.
2. :
! Use the interpolating polynomial to
find the approximate value of f (0.35).
Add a data point f (0.7) = 1.82to
the given data, and find the new interpolating
polynomial that includes this new data point.
3.
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