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anonymous
 5 years ago
Using Lagrange Multipier, maximize/minimize f(x,y,z)=cos(x)cos(y)cos(z) subject to x+y+z=pi
anonymous
 5 years ago
Using Lagrange Multipier, maximize/minimize f(x,y,z)=cos(x)cos(y)cos(z) subject to x+y+z=pi

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0f = cos(x)cos(y)cos(z) let g= x+y+z  pi ( from the constraint ) now we require the grad f = scalar multiple of g let the scalar be Y ie grad f = Y grad g

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0grad f = ( sin(x)cos(y)cos(z) , cos(x)sin(y)cos(z) , cos(x)cos(y)sin(z) ) grad g = ( 1,1,1)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0therefore sin(x)cos(y)cos(z) = Y cos(x)sin(y)cos(z) = Y cos(x)cos(y)sin(z) = Y
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