A community for students.
Here's the question you clicked on:
 0 viewing
calyne
 3 years ago
The equation x^2  xy + y^2 = 3 represents a "rotated ellipse," that is, an ellipse whose axes are not parallel to the coordinate axes. Find the points at which this ellipse crosses the xaxis and show that the tangent lines at these points are parallel.
calyne
 3 years ago
The equation x^2  xy + y^2 = 3 represents a "rotated ellipse," that is, an ellipse whose axes are not parallel to the coordinate axes. Find the points at which this ellipse crosses the xaxis and show that the tangent lines at these points are parallel.

This Question is Closed

dpaInc
 3 years ago
Best ResponseYou've already chosen the best response.1to find the xintercepts plug in y=0 and solve for x. to show that the tangent lines are parallel, plug in the coordinates of these points to the derivative y'. if they're parallel, they should have the same value...

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0wait so the xintercepts are [+]sqrt(3)?

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0well i got y' = 2x/(1+2y)

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0so what, 2*sqrt(3)/(1+0) = 2*sqrt(3), and then the same for sqrt(3)..? what's that then? 2*sqrt(3)/(1+0) = 2sqrt3 i don't get it

dpaInc
 3 years ago
Best ResponseYou've already chosen the best response.1check your derivative... again... i got something different

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0ok y' = (2x+y)/(x+2y) ?

calyne
 3 years ago
Best ResponseYou've already chosen the best response.0so substituting (sqrt(3),0) m=2?

dpaInc
 3 years ago
Best ResponseYou've already chosen the best response.1yep. notice you get the same thing for the other point... so they're parallel.
Ask your own question
Sign UpFind more explanations on OpenStudy
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.