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 theconstraint 5x2 + 2y2 = 14.5x +2y?-14 =6vg= < 10%, Ay)4.3x= 1oxxAy A495x+ 2y- 14 =05x²+ 2 (3.3x*)- 14=05x+ b.bx² - 14 =61.しx? = 14%3D3 2= 10 x (X y33x²y= 3.3x93x211.62.X = 1.09858y = 3.3xy= 3.3 (1.2)y?= 3.16f(1.099, 1.989). (11) (1.499)*20.774Lf (1o99, -1.99) =f(-1099, 1989) =f(-1049, - 1.09)26.7746 MAXy =#1, 989Nin gott2 -= - 20-774

Answered: Image /qna-images/answer/d1ec7d26-209b-4b49-83ac-1f2912011316.jpg

Answered: 8. Find the maximum and minimum values…

Math

Calculus

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

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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Question

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

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