1. Given the data points

determine y at x = 0 using (a) Neville’s method and (b) Lagrange’s method.

2. Find the zero of y(x) from the following data:

Use Lagrange’s interpolation over (a) three; and (b) four nearest-neighbor data points. Hint: after finishing part (a), part (b) can be computed with a relatively small effort.

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