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Question

# In the following exercise, find the curvature and radius of curvature of the plane curve at the given value of x.$y=\sin 2 x, \quad x=\frac{\pi}{4}$

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In this exercise, we are given a plane curve represented by the equation

$y= \sin 2x$

Our job is to find the curvature and the radius of the curve at $x=\pi/4$.

What formula can be used to compute the curvature of a curve given by an equation in rectangular coordinates?

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