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Q43Section I (Objective (Q1–Q80))43 of 80

Numerical Analysis — recovering a value using the vanishing fourth difference

Let U(x) be a polynomial of degree 3. Given that U(0)+U(4)=72U(0) + U(4) = 72 and U(1)+U(3)=42U(1) + U(3) = 42. What is the value of U(2) assuming that differencing interval h=1h = 1?

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