• Support PF! Buy your school textbooks, materials and every day products via PF Here!

Hyperbola point

  • Thread starter karisrou
  • Start date
1) Find the point on the hyperbola xy=8 closest to (3,0).

I honestly, have no idea what to do. I seriously do not remember discussing anything like this in class, nor having any previous problems in homework. If anyone can give me a start or walkthrough, that would be fantastic!
 
Well, y = 8/x gives you a relation between the two variables that allows you to write the distance from (x,y) to (3,0) in terms of one variable, which can then be easily minimized.
 
I've got D = 2rtx^2 - 6x + 9 + 64/x^2

I'm not sure as to how this minimizes?
 

HallsofIvy

Science Advisor
Homework Helper
41,682
864
HOW did you get that? What are r and t? What is D? There were not "r", "t", or "D" in your orginal statement of the problem.
 

Related Threads for: Hyperbola point

  • Posted
Replies
1
Views
2K
  • Posted
Replies
10
Views
3K
  • Posted
Replies
2
Views
886
  • Posted
Replies
1
Views
3K
  • Posted
Replies
7
Views
666

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving
Top