1. The problem statement, all variables and given/known data Show that the curve r = (t2,t3-t) Intersects itself at (1,0), and find the slopes of the tangents at this point. 2. Relevant equations 3. The attempt at a solution Okay I can show it intersects itself there, but what I am having trouble with is when they say slopes of the tangents at this point .What do they mean? The wording sort of confused me.