Question: 3. Interpolate the function f(x) = x1, x (0,2) at the points xo = 0, x1 = 1, 19 = 2. The simplification of the

3. Interpolate the function f(x) = x1, x (0,2) at the points xo = 0, x1 = 1, 19 = 2. The simplification of the resulting interpolation polynomial is unnecessary. (a) Determine the piecewise-linear interpolation, (b) Determine the piecewise-cubic interpolation. () Compare the accuracy of the two interpolations by calculating the interpolation error. 3. Interpolate the function f(x) = x1, x (0,2) at the points xo = 0, x1 = 1, 19 = 2. The simplification of the resulting interpolation polynomial is unnecessary. (a) Determine the piecewise-linear interpolation, (b) Determine the piecewise-cubic interpolation. () Compare the accuracy of the two interpolations by calculating the interpolation error

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