18. Given x3 - 3x2 + 2x + 1, 1

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18 Given X3 3x2 2x 1 1 X 2 S X X 9x2 22x 17 2 X 3 Show That S X Is A Cubic Spline Is S X Is A Natura 1 (67.14 KiB) Viewed 21 times

18. Given x3 - 3x2 + 2x + 1, 1<x<2 S(x) =x + 9x2 - 22x + 17, 2<x<3 Show that S(x) is a cubic spline. Is S(x) is a natural (free) cubic spline? Explain. X Evaluate S(x), if possible, at the following x values. S(x) 2.2 1.5 -1.3 ху k ak 19. Given that the following are clamped cubic spline coefficients. For the indicated x-values write down the appropriate piecewise function and evaluate S(x), if possible. If not possible, indicate not possible and explain your response. bk CK dk 0.5 3.00 03.00 -11.01 6.17 -0.21 1.2 -1.7634 1 -1.76 -2.70 5.71 -0.22 1.9 -0.9271 2 -0.93 4.98 5.26 -0.22 2.4 2.8532 х S(x) 2.2 6.3