Differential Equations

Consider the following parametric equations.

0 \leq \theta \leq \frac{3 \pi}{2}

x=3 \cos (2 \theta)

y=1+\cos ^{2} 2 \theta

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.



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