The following data represents a time series: Period (t): 1, 2, 3, 4, 5 Observed values (Yt): 150, 140, 160, 170, 180 Compute the first-order difference (ΔY3 = Y3 - Y2) and second-order difference (Δ2Y3 = ΔY3 - ΔY2) for period 3.

Using Rayleigh's power method, find the dominant (largest in magnitude) eigenvalue of the matrix A = [[25, 1, 2], [1, 3, 0], [2, 0, -4]].

If p(x) is the interpolating polynomial for the data points (-2, -1), (-1, 3), (0, 1), (1, -1), and (2, 3), then the value of p(12) is: