The multiaty of Kermel for chi
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- Get only the coeeficient of skewness and kurtosisFind the clamped cubic spline that interpolates (0,0),(1,1),(2,2) and satisfies the condition: s’(0) = 1 and s’(2) = 1.Write down the Lagrangian, and hence find the two stationary points of the problem below and Find the Bordered Hessian for this problem, evaluate the required leading principalminors for both solutions. Hence show that one solution is a local maximum and the other is indefinite.
- Compute the Wronskian for 2t^2y''+3ty'-y=0Determine the number of northeast lattice paths from (0, 0) to (4, 4) with unit steps E = (1, 0) and N = (0,1) that pass through neither (1, 1) nor (3, 3). Hint: Inclusion-Exclusion.A natural cubic spline S is defined byS0(x) = 1+B(x −1)−D(x −1)3, if 1 ≤ x < 2 S1(x) = 1+b(x−2) −3/4(x−2)2 + d(x−2)3, if 2 ≤ x ≤ 3If S interpolates the data (1, 1), (2, 1), and (3, 0), find B, D, b, and d.