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Compute the quartic interpolating polynomial for the Hermite interpolation problem p(0) = 2, p'(0) = -9 p(1) =...

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Advance Math

Compute the quartic interpolating polynomial for the Hermiteinterpolation problem

p(0) = 2, p'(0) = -9

p(1) = -4, p'(1) = 4

p(2) = 44

with respect to the Newton basis. Compute the divideddifferences. Find a quintic interpolating polynomial thatadditionally satisfies p(3) = 2.

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