Question: Determine the natural cubic spline S given below that interpolate the following data: f(x0)=f(0)=2,f(x1)=f(1)=6,f(x2)=f(2)=10. Do not just use the formula given in class (use definition

Determine the natural cubic spline S given below that interpolate the

Determine the natural cubic spline S given below that interpolate the following data: f(x0)=f(0)=2,f(x1)=f(1)=6,f(x2)=f(2)=10. Do not just use the formula given in class (use definition of spline and solve associated system). 1 S(x)={S0(x)=a0+b0x+c0x2+d0(x1)3,if0x

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