Explain why the following four statements ask for the same information. (i) Find the roots of f(x) = 3x3 -3x-1 (ii) Find the x-coordinates of the intersections of the curve y=x3 with the line y = 3x + 1. (iii) Find the x-coordinates of the points where the curve y = x-3x crosses the horizontal line y = 1. 3 (iv) Find the values of x where the derivative of g(x) = 4x4 - 2x- -x+5 equals zero.