9. (a) Do there exists terms a, b, c, d R such that x + 1, x < 1 s(x) = { ax + bx+cx+d, x [1, 1] - x 1, is a natural cubic spline function? (b) Do there exists terms a, b, c, d R such that x > 1 x3+x, x = [0, 1] s(x) = = ax + bx+cx+d, x>1 is a cubic spline function and s" (x) = = 12 for x > 1?