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2. Develop cubic splines for the data below and (a) predict f(4) and f(2.5), (b) verify that f2(3) and f3(3) = 19, and (c) plot
2. Develop cubic splines for the data below and
(a) predict f(4) and f(2.5),
(b) verify that f2(3) and f3(3) = 19, and
(c) plot your interpolant using Matlab (note you can create your xgrid as usual, but you will have to define the corresponding ygrid in pieces).
x 1 2 3 5 7 8
f(x) 3 6 19 99 291 444
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