PROVIDE BOTH PART A AND B ANSWERS WITH PYTHON CODE USING JUPYTER NOTEBOOK.

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.