V ethatthe y x whic h minimi zes J is y x x Using a tec Z x x F x y y dx for eac h case a F y k constan t b F y c F y xy d F y yy e F x y yy f F a x y b g F y k cos Solv y Z x y dx b J y Z x ye dx Obtain the necessary condition for a function y to b e a lo cal minimI j h j Z f f k Z f h h i j _ ^ _ e _ g b x ^ h e ` g Z k m s _ k l \ e y l v k y h l \ _ l k l \ i j h p _ k k h f, h i b k Z g g u f h ^ _ d k _ W&I §462 466, i j b f _ g b f u fSolve the equation for different variables stepbystep \square!
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