Answer:
Step-by-step explanation:
The description in terms of x and y when 0 ≤ t ≤ 2π can be computed as follows.
From the given information:
The major axis 2a = 18
a = 18/2
a = 9
i.e (0, ± 9)
On the minor axis; 2b = 12
b = 12/2
b = 6
(±6, 0)
The graph of the ellipse is displayed in the diagram below.
The description in term of x and y is:
[tex]\dfrac{x^2}{6^2}+ \dfrac{y^2}{9^2} = 1 \\ \\ \\ \text{from the graph} \\ \\ x = 6 cos t \ \ \ y = 9 sin t \ \ \ \ \ where (0\le t \le 2 \pi)[/tex]
