Chapter 9 - Analytic Geometry - Section 9.7 Plane Curves and Parametric Equations - 9.7 Assess Your Understanding - Page 715: 39

$x=2cos(\pi t), y=-3sin(\pi t)$ with $0\le t\le2$

Answer may vary. 1. Based on the given conditions, we can write $x=2cos(kt), y=-3sin(kt)$ with $0\le t\le2$ 2. With $p=2$, we have $\frac{2\pi}{k}=2$ and $k=\pi$ 3. Thus $x=2cos(\pi t), y=-3sin(\pi t)$ with $0\le t\le2$