2. Find the polynomial interpolation of y = cos a close to the point x = 0 by (a) Evaluating the function at the points (20, 21, 2) = (-1,0,1). (b) Evaluating the function at the points (xo, 21, 22) = (-4,0,4). (c) Finding the second-degree Taylor polynomial around zo = 0. (d) What do you think the interpolating polynomial would look like if y = cos z was evaluated at the points (ro, 1, 2) = (-a, 0, a) with a 0?

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