In calculus, the curvature of a curve that is defined by a function y f (x) is defined

Chapter 3, Problem 19

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In calculus, the curvature of a curve that is defined by a function y=f(x) is defined as

\(\kappa=\frac{y^{\prime \prime}}{\left[1+\left(y^{\prime}\right)^{2}\right]^{3 / 2}}\) .

Find y=f(x) for which \(\kappa=1\). [Hint: For simplicity, ignore constants of integration.]

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