A function is approximated by a cubic spline defined by: 25/12 30.0833 An approximation of ff(x)dx is: 2.5 S(x) = O 3/4 1+x+x²+x³ (4 + 6(x-1) + 4(x-1)²-(x-1)² for x € [0,1] for x € [1.3]

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A: Given  a   Xs=1ss+12 , Res&gt;-1b  Xs=1ss+12 , -1&lt;Res&lt;0c   Xs=1ss+12 , Res&lt;-1 To find :…

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Q: Problem 12. Which of the fewing is not a vector space? (a) R¹ = {x = (X1, X2, . . .‚ Xn) : Xi € R…

A: Given :               ℝn =x =x1,x2 ,x3 , ... ... ,xn: xi∈ℝ for all 1≤i≤nℙn=pt=a0+a1t + ... ... +antn…