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## Homework Statement

A Curve C is given by the polar equation r=f(theta). Show that the curvature K at the point (r, theta) is

K=|2(r')^2 - rr'' + r^2|

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[(r')^2 + r^2]^(3/2)

*Represent the curve by r(theta) = r<cos theta, sin theta>

## Homework Equations

I have so far taken the first and second derivatives of x= r cos Theta and y=r sin theta

and I know that the formula below is probably involved but i don't know how

K(t) = ||r'(t) X r''(t)||

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||r'(t)||^3