Consider a function f (x) such that f (2) = 1.5713, f (3) = 1.5719, f (5) = 1.5738, and f (6) = 1.5751. Estimate f (4) using a second-degree interpolating polynomial and a third-degree polynomial. Round the final results off to four decimal places. Is there any advantage here in using a third-degree polynomial?
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