Need help understanding this concept

(1) PARAMETRIC: Lets do some calc. Consider the curve P defined by for 2 S t s 2. =13 -31 (i) Show that P has two tangents at the point (3,0) and find their slopes. (ii) Find the points on P where the tangent is horizontal. (iii) Find the points on P where the tangent is vertical. (iv) Using the above information and using the starting and finishing points at f = al.$2 and t = +2, respectively. sketch the curve and the tangent lines. Use arrows to indicate the direction the curve is traced