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Answer to Question #37999 in Calculus for sun
Question #37999
Use the method of Lagrange multipliers to find the local extreme values of the function f subject to the constraint:
We introduce the multiplier λand solve the system ,∇f=λ∇g, g=0
i. f(x,y)=xy on the ellipse x^2+4y^2=1
ii.f(x,y)=2x-y+6 on the circle x^2+y^2=
We introduce the multiplier λand solve the system ,∇f=λ∇g, g=0
i. f(x,y)=xy on the ellipse x^2+4y^2=1
ii.f(x,y)=2x-y+6 on the circle x^2+y^2=
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