Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
otterpop
Group Title
Find the area of the ellipse (2x + 5y − 3)
2
+ (3x − 7y + 8)
2
< 1.
I have no idea what this figure looks like.
 3 years ago
 3 years ago
otterpop Group Title
Find the area of the ellipse (2x + 5y − 3) 2 + (3x − 7y + 8) 2 < 1. I have no idea what this figure looks like.
 3 years ago
 3 years ago

This Question is Closed

abtrehearn Group TitleBest ResponseYou've already chosen the best response.2
Let u = 3 x  7 y + 8, v = 2x + 5y + 3. \[\left[\begin{matrix}u _{x} & u _{y} \\ v _{x} & v _{y}\end{matrix}\right] = \left[\begin{matrix}3& 7 \\ 2 & 5\end{matrix}\right].\] The determinant of the Jacobian matrix is 29. The equation of the ellipse transforms to u^2 + v^2 = 1 which has an area of pi. The required area is 29 pi.
 3 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.