Consider the following parametric equations. x=3 \cos (2 \theta) y=1+\cos ^{2} 2 \theta 0 \leq \theta \leq \frac{3 \pi}{2} Eliminate the parameter to find a Cartesian equation that represents the curve. b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.

Fig: 1

Fig: 2

Fig: 3

Fig: 4

Fig: 5

Fig: 6