Write down the formula for polynomial interpolation

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Reference no: EM131252517

1. Write down the formula for polynomial interpolation in Newton form.

2. State two advantages and two disadvantages for using the Newton representation for polynomial interpolation.

3. Describe the linear systems that are solved for the monomial basis, the Lagrange representation, and the Newton representation.

4. Describe the connection between the kth divided difference of a function f and its kth derivative.

Reference no: EM131252517

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