Consider the 5 nodes (1, 4), (2, 0), (5, 5), (7, 3), and (10, 8) to be interpolated using cubic splines. there are 4 equations that must be satisfied at the point x3 = 5. what are these four equations? write them out completely in terms of a, b, c, and d coefficients. (you don’t need to solve for any coefficients; you’re just writing 4 constraints.)