Question: Let p(t) be the natural cubic spline which interpolates the data (0,5), (1, 9), (2, 2), (3, -29), (4, -65), (5, -110) with coefficient

Let p(t) be the natural cubic spline which interpolates the data (0,5), (1, 9), (2, 2), (3, -29), (4, -65), (5, -110) with coefficient matrix such that each cubic in the spline is of the form -3 0 -1 2 0 -9 b3 -3 -6 7 -2 C3 -32 -41 5 9 -2 -29 -65 px(t) = ak(t tk_1) +bk(t tk-1) +ck(t tk-1)+dk,tetk1,k Determine the value p' (1.5).

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