In the chapter on polynomial interpolation, we investigated the construction of cubic splines to interpolate the data set {(xo,yo), (x1, y1), ..., (xn, yn)}. In this question, we use simpler quadratic splines of the form Qj(x) = αj(x - xj)2 + βj (x - xj) + γj; xj < x < x(j+1 ) j = 0,1,...,n-1. The function Q(x) is formed from the union of the individual splines, and the notation hj = xj+1-x3; is used throughout (b) Calculate the magnitude of the discontinuity in the curvature of Q(x) at x = xj;. Simplify your answer as far as possible