16.7 #4 Find the absolute value of the Jacobian for x = s^3 - 3st^2 y = 3s^2t - t^3 answer partial(x,y) | 3s^2-3t^2 -6st | ------------ = | | partial(s,t) | 6st 3s^2-3t^2| = (3s^2-3t^2)^2 + 36s^2t^2 = (3s^2 + 3t^2)^2 = 9(s^2 + t^2)^2