Compute f(10.25) for a given set of data below using: 1. Lagrange Interpolating Polynomial 2. Newton's Divided Difference Method f(x) 2.22462 9.25 9.60 2.26176 10.10 2.31254 10.75 2.37491 11.20 2.41591 13.10 2.57261 Use five decimal places. Show your complete solution.

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