The graphs of y = 3 - x^2 + x^3 and y = x^3 - 3x + 5 intersect in multiple points. Find the maximum difference between the -coordinates of these intersection points.
intersection points are (1, 3) and (2, 7). distance between them = √[(7 - 3)^2 + (2 - 1)^2] = √(16 + 1) = √17.
