Answer by Andrei for Finding minimum and maximum points subject to the...
Let's use polar coordinates, $x=r\cos\delta$ and $y=r\sin\delta$. Together with your constraint is equivalent to $0\le r\le 1$.Then $$f(\theta,...
View ArticleAnswer by NN2 for Finding minimum and maximum points subject to the...
Let us denote$$\begin{align}&r := \sqrt{x^2 + y^2} \\&\gamma \text{ such that }\frac{x}{\sqrt{x^2 + y^2}}= \sin(\gamma) \hspace{1cm} \text{for }\gamma\in[0,2\pi]\\&l:=\alpha x+\beta y=...
View ArticleFinding minimum and maximum points subject to the constraint $x^2 +y^2 \leq...
I am trying find the maximum and minimum values for the absolute value or magnitude of the below function subject to the constraint $x^2 +y^2 \leq 1$:$$f(\theta, \phi, x, y) =(\alpha x+\beta...
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