Find the curvature at the point (x, y) on the ellipse?

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Math10
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Homework Statement


Find the curvature at the point (x, y) on the ellipse x^2/9+y^2/4=1.

Homework Equations


None.

The Attempt at a Solution


x^2/a^2+y^2/b^2=1
so I know that a=3 and b=2 for this problem.
x(t)=acos(t) and y(t)=bsin(t)
so x(t)=3cos(t) and y(t)=2sin(t)
now what? What's the formula for finding the curvature for this problem? The answer is 162/(81-5x^2)^(3/2).
 
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Math10 said:

Homework Statement


Find the curvature at the point (x, y) on the ellipse x^2/9+y^2/4=1.

Homework Equations


None.

The Attempt at a Solution


x^2/a^2+y^2/b^2=1
so I know that a=3 and b=2 for this problem.
x(t)=acos(t) and y(t)=bsin(t)
so x(t)=3cos(t) and y(t)=2sin(t)
now what? What's the formula for finding the curvature for this problem? The answer is 162/(81-5x^2)^(3/2).
If you textbook has a problem about finding curvature, I can pretty much guaranteed that it will have a formula for curvature somewhere close by in the book. That should be the first place you look.

Also, you don't need to convert to parametric form to find the curvature.