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

Use Newton's forward and backward difference formula to construct interpolating polynomials of degree 1,2, and 3 from the following data and approximate the function at the specified value using 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

Expert Solution

Colby Messinger answered 2 years ago

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