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Unformatted text preview: 4.4 Modeling and Optimization Ch 4.4 Modeling & Optimization none Local max (2, 10); Local min (1,8) 112 π 3 χμ sin q cos θ 1, 3 ( 29 ;1, 3 ( 29 A Classic Problem You have 40 feet of fence to enclose a rectangular garden along the side of a barn. What is the maximum area that you can enclose? x x 40 2 x ( 29 40 2 A x x = 2 40 2 A x x = 40 4 A x ′ = 40 4 x = 4 40 x = 10 x = 40 2 l x = w x = 10 ft w = 20 ft l = → There must be a local maximum here, since the endpoints are minimums. A Classic Problem You have 40 feet of fence to enclose a rectangular garden along the side of a barn. What is the maximum area that you can enclose? x x 40 2 x ( 29 40 2 A x x = 2 40 2 A x x = 40 4 A x ′ = 40 4 x = 4 40 x = 10 x = ( 29 10 40 2 10 A = × ( 29 10 20 A = 2 200 ft A = 40 2 l x = w x = 10 ft w = 20 ft l = → To find the maximum (or minimum) value of a function: 1 Write it in terms of one variable....
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This note was uploaded on 02/16/2012 for the course CALCULUS 0064 taught by Professor Waldron during the Fall '10 term at Broward College.
 Fall '10
 waldron

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