Unformatted text preview: f x y x 11 y 4 xy 3 x 2 8 y 2 de±ned in the unit square 0 x 1, 0 y 1. Find the maximum and minimum values of f and where they occur. The maximum value is and it occurs for x and y . The minimum value is and it occurs for x and y . 7. (1 pt) Consider the function f x y 4 x 3 11 xy 5 y 2 . Find the maximum and minimum values of f in the region de±ned by the inequalities 1 x 1, 0 y 1 and where they occur. The maximum value is and it occurs for x and y . The minimum value is and it occurs for x and y . 8. (1 pt) Find the coordinates of the point x y z on the plane z 4 x 2 y 3 which is closest to the origin. x y z 9. (1 pt) Find the maximum and minimum values of f x y 7 x y on the ellipse x 2 4 y 2 1 maximum value: minimum value: Prepared by the WeBWorK group, Dept. of Mathematics, University of Rochester, c UR 1...
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This note was uploaded on 11/09/2011 for the course MATH 262 taught by Professor Faber during the Spring '08 term at McGill.
 Spring '08
 FABER

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