If the function s: [0,4] → ℝ defined by s(x) = a(x - 2)2 + b(x - 1)2, if 0 ≤ x ≤ 1; (x - 2)2, if 1 < x ≤ 3; 2c(x - 2)2 + (x - 3)3, if 3 < x ≤ 4 is a cubic spline, then the value of 2a + b + 2c is:

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: