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Unformatted text preview: (a) Show that the second derivative test provides no information about the critical points of the function f ( x, y ) = x 4y 4 . (b) Classify all critical points of f as relative maxima, relative minima, or saddle points. 4. (13.8, 40) ±ind the points on the surface x 2yz = 9 that are cloest to the origin. 5. (13.8, 42) ±ind the maximum volume of a rectangular box with three faces in the coordinate planes and a vertex in the ²rst octant on the plane x + y + z = 1. 6. (13.9, 34) ±ind the highest (one with the biggest zcoordinate) and the lowest points on the intersetion of the elliptic paraboloid z = x 2 +4 y 2 and the cylinder x 2 + y 2 = 1. 1...
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 Spring '11
 ching
 Math, Calculus

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