Determine the natural cubic spline through the points $\{(0,-1),(1,0),(2,2),(3,0),(4,-2)\}$. Give the cubic polynomial for the spline on each of the intervals $\{[0,1],[1,2],[2,3],[3,4]\}$.
Determine the natural cubic spline through the points $\{(0,-1),(1,0),(2,2),(3,0),(4,-2)\}$. Give the cubic polynomial for the spline on each of the intervals $\{[0,1],[1...