S(x) is a cubic spline for the function f(x) = sin(pi x/2) +cos(pi x/2) at the nodes x0 = 0 ,x1 = 1 , x2 = 2
and satisfies the clamped boundary conditions. Determine thecoefficient of x3 in S(x) on [0,1] ans. pi/2 -3/2
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