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Unformatted text preview: [ a, b ] 1. Find critical points (C.P.) i.e. where f ( x ) = 0 or f ( x ) is undened. 2. Evaluate f at each C.P. and at the endpoints of the interval (i.e. the boundary). Largest value = Absolute Maximum Smallest value = Absolute Minimum In R 3 : How to nd Absolute Extrema 1. 2. 3. 4. 6 Example 1 Find the absolute extrema of f ( x, y ) = x 4 + y 3 +32 x9 y over the rectangular plate2 x 0,2 y 0. 7 Example 2 Same function as Example 1, f ( x, y ) = x 4 + y 3 + 32 x9 y over the region bounded by x = 2, y = 0, and y = 2 x . 8 Example 3 Find the extreme values of f ( x, y ) = xy on the unit disk, x 2 + y 2 1. 9...
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This note was uploaded on 03/03/2010 for the course MATH 2224 taught by Professor Mecothren during the Spring '03 term at Virginia Tech.
 Spring '03
 MECothren
 Critical Point, Derivative, Multivariable Calculus

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