Finding Polar Equation for hyperbola with Graph xy=16

Click For Summary

Homework Help Overview

The problem involves finding a polar equation for the graph defined by the equation xy=16, which is identified as a hyperbola.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss using the relationships x = rcosθ and y = rsinθ to convert the Cartesian equation into polar form. There are questions about how r and θ are related in this context.

Discussion Status

The discussion is ongoing, with participants attempting to derive the polar equation and questioning the relationships involved. Some guidance has been offered regarding substituting the polar expressions into the original equation.

Contextual Notes

There appears to be uncertainty regarding the conversion process and the nature of the relationship between r and θ in the context of the hyperbola.

Magnawolf
Messages
25
Reaction score
0

Homework Statement



Find a polar equation with the graph as xy=16


Homework Equations



r = ed/(1+- cos\theta)? I'm not really sure at all.

The Attempt at a Solution



I also tried using x = rcos\theta and y = r sin\theta but I can't get anything. I know it's a hyperbola.
 
Physics news on Phys.org
Magnawolf said:

Homework Statement



Find a polar equation with the graph as xy=16



The Attempt at a Solution



I also tried using x = rcos\theta and y = r sin\theta but I can't get anything. I know it's a hyperbola.

It is all right. How are r and θ related then?

ehild
 
Inversely? I'm not sure!
 
Magnawolf said:
Inversely? I'm not sure!

No, why do you think so?

Just plug in x=rcosθ and y=rsinθ into the original equation xy=16.

ehild
 

Similar threads

Polar equation of a hyperbola with one focus at the origin
  • · Replies 6 ·
Replies
6
Views
2K
Double Integral of function in region bounded by two circles
  • · Replies 19 ·
Replies
19
Views
3K
Show proof of point C in the given problem that involves Polar equation
  • · Replies 3 ·
Replies
3
Views
1K
Area of loop in x-y plane
  • · Replies 20 ·
Replies
20
Views
3K
Simmons 7.10 & 7.11: Find Curves Intersecting at Angle pi/4
  • · Replies 1 ·
Replies
1
Views
2K
Calculate surface integral on sphere
  • · Replies 7 ·
Replies
7
Views
3K
Line Integral of circle in counterclockwise direction
  • · Replies 5 ·
Replies
5
Views
2K
Convert the Cartesian equation to the polar equation
  • · Replies 1 ·
Replies
1
Views
2K
Trying to find this double integral using polar coordinates
  • · Replies 14 ·
Replies
14
Views
3K
Polar coordinates of the centroid of a uniform sector
  • · Replies 5 ·
Replies
5
Views
2K