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Given the following table: 5060|0|0.17090|0,3203110.4772|0,54407 f(x)0 0.17609 0.30103 0.4772 0.54407 A. Construct the table of Newton divided differences. B. Using the divided differences, construct

Given the following table: 5060|0|0.17090|0,3203110.4772|0,54407 f(x)0 0.17609 0.30103 0.4772 0.54407 A. Construct the table of Newton divided differences. B. Using the divided differences, construct P3(x) and P4(x) and use them to interpolate f(2.5). Hint: P3(2.5) = 0.394795 and P4(2.5) = 0.397198

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