(a) Find an equation of the line tangent to the graph of y = x 3 at the point (2, 8).

(b) Where, if ever, is the line tangent to the graph of y = x 3 horizontal?

(c) Find an equation of the line tangent to the graph of y = x 3 at the point (p, q).

(d) Find the point(s) (p, q) on the graph of y = x 3 so the tangent line to the curve at (p, q) goes through the point (16, 0).