4 Consider the curve represented by the parametric equations .1: t = 3 2t,_ t = 1 + 2. . \"'5' (a) W'rite the corresponding rectangular equation by eliminating the parameter. (b) Sketch the curve. Use arrows to indicate the orientation of the curve. {5) Consider a circle with radius 3 centered at (2, 1) given in rectangular form by (a: 2)2 +(y+1)2 = 32. (a) Find a parametric equation of the circle traced counterclockwise. (h) Find a parametric equation of the circle traced clockwise. {6) Find a set of parametric equations $(m). Mm) that represent the graph of y = 2:132 3.9: + 1 {i such that the parameter at is the slope at = dy at the point (it. y). Hint: The solution to a: p 1. _- .1an n.1