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Use Newton's forward and backward difference formula to construct interpolating polynomials of degree 1,2, and 3...

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Advance Math

Use Newton's forward and backward difference formula toconstruct interpolating polynomials of degree 1,2, and 3 from thefollowing data and approximate the function at the specified valueusing these polynomials:

f(0.43) if

f(0) =1

f(0.25) = 1.6487,

f(0.5) = 2.7182,

and f(0.75) = 4.4819

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