Equation x √ y = y √ x [ edit ] The equation y x = x y {\displaystyle {\sqrt[{x}]{y}}={\sqrt[{y}]{x}}} produces a graph where the line and curve intersect at 1 / e {\displaystyle 1/e} .

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The notation \begin{equation} y = y(x) \end{equation} is overloaded as $y$ can now be used to refer both to a function $y : D \rightarrow C$ and a variable $y \in C$. This is a dangerous …

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Nov 9, 2010 · If $0 > x > y$, then $x^y = y^x$ implies $x$ and $y$ must have the same parity. Also, taking reciprocals, $x^{-y} = y^{-x}$. Then $(-x)^{-y} = (-y)^{-x}$ since $x$ and $y$ have …

Dec 16, 2024 · Transcript. Misc 5 (Method 1) Evaluate | 8(𝑥&𝑦&𝑥+𝑦@𝑦&𝑥+𝑦&𝑥@𝑥+𝑦&𝑥&𝑦)| Let ∆ = | 8(𝑥&𝑦&𝑥+𝑦@𝑦&𝑥+𝑦&𝑥@𝑥 ...