Estimate the functions below using Newton's Forward and Backward Difference Approximation techniques. Show the complete solution on paper. 1. f(7.5) x f(x ) 1 2 3 4 5 6 7 8 8 27 64 125 216 343 512 1

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Estimate the functions below using Newton's Forward and Backward Difference Approximation techniques. Show the complete
solution on paper.
1. f(7.5)
x 1 2 3 4 5 6 7 8
f(x
1
8 27 64 125 216 343 512
)
2. In(3.5)
X
In x
1.0
0.0
2.0
3.0 4.0
0.6931 1.0986 1.3863
Transcribed Image Text:Estimate the functions below using Newton's Forward and Backward Difference Approximation techniques. Show the complete solution on paper. 1. f(7.5) x 1 2 3 4 5 6 7 8 f(x 1 8 27 64 125 216 343 512 ) 2. In(3.5) X In x 1.0 0.0 2.0 3.0 4.0 0.6931 1.0986 1.3863
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