Use Lagrnge multipliers to find the maximum and minimum values of f (x, y ) =xy2 subject to x 2 + y2 =1. O maximum f (x, y) =1 2V/2 minimum f (x, y ) = - 2V/2 O maximum f (x, y ) = 1 2 V 3 3 at ( 13 4 2 ) and ( 15 - 43) minimum f (x, y) = - 1 2 V 3 3 at 4) and 1 13 O maximum f(x, y) = 1 2 and 1 2 2 3 -at 2 13 3 minimum f(x,y) = _ _ 2 2 at 1 2 1 and V2 V2'V3 2 3 O 1 1 1 maximum f(x, y) = 1 1 at and V23 V2 3 V2 3 1 1 1 1 1 minimu f(x, y) = - at and 2 3 3 wil