Find the Newton Divided Differences Interpolating polynomial of second degree that approximates the function f(x) =x...

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Find the Newton Divided Differences Interpolating polynomial of second degree that approximates the function f(x) =x Inx using the data (0.5, -0.34657),(1.0,0.0),(2.0, 1.38629) and (4.0, 5.54518). Use the interpolating polynomial to approximate f(1 35), Evaluate the absolute error. Find the Newton Divided Differences Interpolating polynomial of second degree that approximates the function f(x) =x Inx using the data (0.5, -0.34657),(1.0,0.0),(2.0, 1.38629) and (4.0, 5.54518). Use the interpolating polynomial to approximate f(1 35), Evaluate the absolute error.