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false

Solution:{:[f(x","y)=x^(2)y^(3)],[g(x","y)=x^(2)+y^(2)-1quad" (Unit Cincle) "],[" By Lagrange Multiplier Method :- "],[f_(x)=2xy^(3)","g_(x)=2x],[f_(y)=3x^(2)y^(2)quadg_(y)=2y],[f_(x)-lambdag_(x)=0quadf_(y)-lambdag_(y)=0],[2xy^(3)-lambda(2x)=0quad3x^(2)y^(2)-lambda(2y)=0],[2x(y^(3)-lambda)=0quad3x^(2)y^(2)-(y^(3))(2y)=0],[x=0" or "y^(3)-lambda=0quady^(2)(3x^(2)-2y^(2))=0],[lambda=y^(3)],[y=0" or "3x^(2)-2y^(2)=0],[3x^(2)=2y^(2)]:}Unit circle, x^(2)+y^(2)=1rarr ... See the full answer

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