Chapter 9 - Analytic Geometry - Section 9.7 Plane Curves and Parametric Equations - 9.7 Assess Your Understanding - Page 715: 41

$x=2sin(2\pi t), y=3cos(2\pi t)$ with $0\le t\le1$

Answer may vary. 1. Based on the given conditions, we can write $x=2sin(kt), y=3cos(kt)$ with $0\le t\le1$ 2. With $p=1$, we have $\frac{2\pi}{k}=1$ and $k=2\pi$ 3. Thus $x=2sin(2\pi t), y=3cos(2\pi t)$ with $0\le t\le1$