Unformatted text preview: f ( x,y ) = 4 x 23 y 2 + 2 xy , show that f ( x,y ) does not have a local max or local min anywhere in the plane. Does it have a saddle point? (Justify your answer.) Find the max and min of f ( x,y ) on the square { ( x,y )  ≤ x ≤ 1 , ≤ y ≤ 1 } , naming the points at which these extrema occur. 8. Use the method of Lagrange multipliers (or otherwise) to ﬁnd maxima and minima of f ( x,y,z ) = x 2 + y 2 + z 2 on the ellipse formed by intersection of the cone z 2 = x 2 + y 2 by the plane x2 z = 3....
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 Fall '07
 Harris
 Euclidean geometry, Polar coordinate system

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