A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years ago
f(x,y)=sqrt(yx)
Find the boundary of the function's domain.
anonymous
 3 years ago
f(x,y)=sqrt(yx) Find the boundary of the function's domain.

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0what have you tried so far?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I know it has something to do with interior points and boundary points, but I dont get it. My current understanding is that interior points are arbitrary points in the function's range that if we make them the center of a disk with positive radius, all the points in that disk are also in R. Then boundary points are the same except that the disk has some points inside R and some outside R.  This doesnt make sense to me because wouldn't it depend on how big the radius of the disk is? how do you know how big the radius is?

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Okay, so you have,\[\large f(x, y) = \sqrt{yx}\] and you want to try and find the boundary of the domain. So, you want to find out when this function is valid. So when is it? Well, we know that for the square root of anything, that anything must be greater to or equal to zero so we have,\[y  x \ge 0\] so,\[y \ge x\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0yeah, I've gotten that so far.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1352071930007:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0that is where the function would be valid, whcih means that the boundary of the func's domain would be the line y=x

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0so basically it's just graphing the domain inequality.

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Seems to be that way, yes
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.