Section 11.7

# Section 11.7 - Section 11.7 7:44 PM WebAssign Section...

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12/9/08 7:44 PM Section 11.7 Page 1 of 3 http://www.webassign.net/[email protected]/[email protected] Section 11.7 (Homework) MICKLES BRANDON L MA 242, section 008, Fall 2008 Instructor: April Alston Web Assign Current Score: 23 out of 23 Due: Friday, October 3, 2008 10:06 PM EDT Description Maximum and Minimum Values The due date for this assignment is past. Your work can be viewed below, but no changes can be made. 1. [SCalcCC2 11.7.10.] 2/2 points Find the local maximum and minimum values and saddle point(s) of the function. If you have three- dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. f ( x , y ) = 2 x 3 + xy 2 + 5 x 2 + y 2 Local minimum f ( 0 0 , 0 0 ) Local maximum f ( -5/3 -1.67 , 0 0 ) Saddle points ( -1 -1 , -2 -2 ) (smaller y value) ( -1 -1 , 2 2 ) (larger y value) 2. [SCalcCC2 11.7.24.] 4/4 points Find the absolute maximum and minimum values of f on the set D . f ( x , y ) = 3 + xy - x - 2 y , D is the closed triangular region with vertices (1, 0), (5, 0), and (1, 4).

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