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8. Find the maximum and minimum values of f(x,y) = x³y* subject to the constraint 5x2+ 2y2 = 14. 5x +2y? - 14 =6 33

8. Find the maximum and minimum values of f(x,y) = x³y* subject to the constraint 5x2+ 2y2 = 14. 5x +2y? - 14 =6 33

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Does my math look correct on this one? I kept messing up on the algebra so I want to make sure these numbers look good. Thanks!
8. Find the maximum and minimum values of f (x, y) = x³y* subject to the constraint 5x2 + 2y2 = 14. 5x +2y?-14 =6 vg= < 10%, Ay) 4. 3x = 1oxx Ay A 49 5x+ 2y- 14 =0 5x²+ 2 (3.3x*)- 14=0 5x+ b.bx² - 14 =6 1.しx? = 14 %3D 3 2 = 10 x (X y 3 3x² y= 3.3x9 3x 2 11.6 2. X = 1.09858 y = 3.3x y= 3.3 (1.2) y?= 3.16 f(1.099, 1.989). (11) (1.499)* 20.774L f (1o99, -1.99) = f(-1099, 1989) = f(-1049, - 1.09) 26.7746 MAX y =#1, 989 Nin gott2 - = - 20-774
Transcribed Image Text:8. Find the maximum and minimum values of f (x, y) = x³y* subject to the constraint 5x2 + 2y2 = 14. 5x +2y?-14 =6 vg= < 10%, Ay) 4. 3x = 1oxx Ay A 49 5x+ 2y- 14 =0 5x²+ 2 (3.3x*)- 14=0 5x+ b.bx² - 14 =6 1.しx? = 14 %3D 3 2 = 10 x (X y 3 3x² y= 3.3x9 3x 2 11.6 2. X = 1.09858 y = 3.3x y= 3.3 (1.2) y?= 3.16 f(1.099, 1.989). (11) (1.499)* 20.774L f (1o99, -1.99) = f(-1099, 1989) = f(-1049, - 1.09) 26.7746 MAX y =#1, 989 Nin gott2 - = - 20-774
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