Unformatted text preview: aquarium that minimize the cost of the materials. (For this problem, you may assume that the absolute minimum occurs at a critical point.) 4. Find the absolute maximum and the absolute minimum of the function f ( x,y ) = xy 2 on the set D = { ( x,y )  x ≥ ,y ≥ ,x 2 + y 2 ≤ 3 } . 5. Find the volume of the largest rectangular box that can be inscribed in the ellipsoid 9 x 2 + 36 y 2 + 4 z 2 = 36. (To be inscribed in the ellipsoid means that all vertices of the box lie on the ellipsoid. ) 1...
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 Spring '07
 Sadler
 Critical Point, absolute minimum

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