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Find the infimum of $f(x,y)=\tfrac{1}{2} x^2-\tfrac{1}{2} xy+\tfrac{1}{4}y^2$ on the line $\langle t,-2t+4\rangle$ in Maple

If we have the function $$f(x,y)=\tfrac{1}{2} x^2-\tfrac{1}{2} xy+\tfrac{1}{4}y^2$$ and we want to find the infimum of $f$ at the vector $X=\langle t,-2t+4\rangle$ where its components are the $x$ and ...
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1answer
165 views

Having such integral, how to optimize it in maple?

So we have : (1/3)*sig0*h^3*(int(int(sin((1/3)*arctan(y, x)), x = 0 .. r), y = 0 .. 2*Pi)) Is it possible to optimise it? (in maple or any other way...) How I ...