Using the user-defined function LagrangeInterp, given the data in the following table: a….

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Using the user-defined function LagrangeInterp, given the data in the following table:

a. Interpolate at x = 1.5 with a second-degree Lagrange polynomial using three most suitable data points.

b. Interpolate at x = 3 with a third-degree Lagrange polynomial using four most suitable data points.