Question

A curve C has parametrization x=t^2, y=t^3 for all t in the Reals. Find the curvature at the point P corresponding to t =0.5. Sketch the graph of C and the circle of curvature. Then find the equation for the circle of curvature.

Answer 1

I understand that. I just am unsure on how to sketch C and the circle of curvature

Answer 2

I got K = .768

Answer 3

What about the circle of curvature?

Answer 4

Thank you for helping with C.

Answer 5

Hmmm... Guess I'm not sure.

Answer 6

Ok. I guess I'm not making the connection.

Answer 7

So how do I draw the circle of curvature with respect to C? Is there a way to calculate it? Or am i missing something?

Answer 8

ok

Answer 9

?

Answer 10

What is the problem?