In mathematics, what is the curvature $κ$ of a circle of radius $R = 5$ at any point on its circumference?

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In mathematics, what is the derivative of the rational function $f (x) = \frac{2 x - 1}{x + 3}$ with respect to $x$ ?
In mathematics, what is the value of the limit $lim_{x \to 0} \frac{l n ( 1 + 4 x )}{s i n ( 2 x )}$ ?
In mathematics, which function represents the general solution of the first-order differential equation $y^{'} - 2 x y = x$ ?
In mathematics, what is the area of the region bounded by the parabola $y = 3 x - x^{2}$ and the $x$ -axis?
In mathematics, what is the radius of convergence $R$ of the power series $\sum_{n = 1}^{\infty} \frac{( 2 x - 1 ) ^{n}}{n \cdot 3 ^{n}}$ ?
In mathematics, what are the coordinates of the inflection point of the cubic curve $y = x^{3} - 3 x^{2} + 4$ ?