1. (10 points) Consider the parametric curve given by 11:03) 2 5t and y(t) = t2. (a) Sketch this curve on the interval 2 g t g 2 and indicate its orientation. (b) Find the equation of the tangent line to the curve at t = 1. 2. (10 points) Sketch both parametric curves below. Then determine if they intersect. If they intersect, nd the point (.13, y) of intersection. 01317105): 3cost, ylft) = 3sint 02 : 11:20?) 2 4sint, y2(t) : 4sint 3. (10 points Plot and label the following polar points (1", 9) 1n the inf-plane. J ( 1 51/4) ( (a) A: (b) 52 2,3?1') (c) C: 2 ,47T/3) ) D ( = (3, 4) [remember this point is in polar coordinates]