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\kappa(x)=\frac{\left|f^{\prime \prime}(x)\right|}{\left[1+\left(f^{\prime}(x)\right)^{2}\right]^{3 / 2}} 22. Find an equation for the circle of curvature of the curve r(t)=(2 In t)i - [t+ (1/t) j, e^-2<=t<= e^2, at the point (0,-2).where t

= 1. derived in Exercise 5. expresses the curvature K(x) of a twice-differentiable plane curve y f(x) as a function of x. Find the curvature function of each of the curves in Exercises 23-26. Then graph f(x) together with K(x) over the given interval. You will find some surprises.

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