Engineering Calculus Notes 351

Engineering Calculus Notes 351 - f ( x,y ) = x 2 + xy + 2 y...

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3.6. EXTREMA 339 yielding another pair of relative critical points, with respective values for f f p 2 , 2 , 1 2 2 P = 13 4 2 f p 2 , 2 , 1 + 2 2 P = 13 + 4 2 . Comparing these various values, we see that the point farthest from the origin is ( 2 , 2 , 1 + 2 2) and the closest are the two points ( 1 2 (1 ± 7) , 1 2 (1 7) , 0 ) . Exercises for § 3.6 Practice problems: 1. Find the minimum and maximum values of
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Unformatted text preview: f ( x,y ) = x 2 + xy + 2 y 2 inside the unit disc x 2 + y 2 1 . 2. Find the minimum and maximum values of f ( x,y ) = x 2 xy + y 2 inside the disc x 2 + y 2 4 . 3. Find the minimum and maximum values of f ( x,y ) = x 2 xy + y 2 inside the elliptic disc x 2 + 4 y 2 4 ....
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This note was uploaded on 10/20/2011 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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