\text { Consider the following for the parametric equations below. } (a) Eliminate the parameter to find a-Cartesian equation of the curve. Sketch the curve using a table, and indicate

with an arrow the direction in which the curve is traced as the parameter increases. \text { (c) Find } \frac{d y}{d x} \text { and } \frac{d^{2} y}{d x^{2}} x=\tan ^{2}(\theta), y=\sec (\theta),-\frac{\pi}{2}<\theta<\pi / 2