Directions: Show all your work and box your final answers. 1. Sketch the region bounded by the curves. Find the exact coordinates of the centroid. y=ex, y=0, x=0, x=1 2. Given: x=t2, y=t8, 4Sts4 a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. b) Eliminate the parameter to find a Cartesian equation of the curve. 3. Given:x=t33t, y=t2-5 a) Find the points on the curve where the tangent is horizontal or vertical. d 2 y 2 b) Find in terms of t