For a function f, the Newton's interpolatory divided-difference formula gives the interpolating polynomial: p3(x) = 1+4x+4x(x-...

 

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For a function f, the Newton's interpolatory divided-difference formula gives the interpolating polynomial: p3(x) = 1+4x+4x(x- 0.25)+x(x- 0.25)(x-0.5), on the nodes xo = 0,x = 0.25,x2 = 0.5, and x3 = 0.75. Find the value f(0.75). %3D For a function f, the Newton's interpolatory divided-difference formula gives the interpolating polynomial: p3(x) = 1+4x+4x(x- 0.25)+x(x- 0.25)(x-0.5), on the nodes xo = 0,x = 0.25,x2 = 0.5, and x3 = 0.75. Find the value f(0.75). %3D