Determine the value of the coefficients a, b, c, d and e so that the following f(x) is a natural cubic spline on [0,2]; f(x) = {1 + x − ax2 + bx3   x∈[0,1], f(x) = c + d(x−1) + e(x−2)2 + (x−2)3  x∈[1,2] a= b= c= d= e=

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