5/10/12 9:47 PMSection 11.7Page 1 of 2http://www.webassign.net/web/Student/Assignment-Responses/view_key?dep=3769838Current Score : 26 / 26 Due : Monday, February 27 2012 11:06 PM EST1. 2/2 points | Previous AnswersFind 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 theimportant aspects of the function.f(x, y) = 2x3 + xy2 + 5x2 + y2Local minimumf( 0 0 , 0 0 )Local maximumf( -1.67 -1.67 , 0 0 )Saddle points( -1 -1 , -2 -2 ) (smaller y value)( -1 -1 , 2 2 ) (larger y value)2. 2/2 points | Previous AnswersFind the absolute maximum and minimum values of f on the set D.f(x, y) = 3 + xy - x - 2y, D is the closed triangular region with vertices (1, 0), (5, 0), and(1, 4).Absolute maximum2 2 Absolute minimum-2 -23. 2/2 points | Previous AnswersFind the absolute maximum and minimum values of f on the set D.f(x, y) = 4x + 6y - x2 - y2, D = {(x, y) | 0 x 4, 0 y 5}Absolute maximum13 13 Absolute minimumSection 11.7 (Homework)Ali Al ZaabiMA 242, section 001, Spring 2012Instructor: J. Louis CappsWebAssignThe due date for this assignment is past. Your work can be viewed below, but no changes can be made.5/10/12 9:47 PMSection 11.7Page 2 of 2http://www.webassign.net/web/Student/Assignment-Responses/view_key?dep=37698380 04. 2/2 points | Previous AnswersFind the absolute maximum and minimum values of f on the set D.f(x, y) = xy2, D = {(x, y) | x 0, y 0, x2 + y2 3}Absolute maximum2 2 Absolute minimum0 05. 6/6 points | Previous AnswersFind the point on the plane x - y + z = 4 that is closest to the point (1, 2, 3).( 1.67 1.67 , 1.33 1.33 , 3.67 3.67 )6. 6/6 points | Previous AnswersFind three positive numbers x, y, and z whose sum is 460 such that xaybzc is a maximum.x = y = z = 7. 6/6 points | Previous AnswersThe base of an aquarium with volume V = 410 is made of slate and the sides are made of glass. If slatecosts five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize thecost of the materials.length = 5.47 5.47 unit(s)width = 5.47 5.47 unit(s)height = 13.7 13.7
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