Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

g find parametric equations of an ellipse cetnered at the originw ith major axis of length 18 on the x axis and minor axis oof length 12 on the yaxis, generated ccoutnerclockwise. graphj the ellipse and find a description in terms off x and y

Sagot :

ajeigbeibraheem

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]

View image ajeigbeibraheem
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.