Use Lagrange multipliers to find the maximum value of f subject to the given constraint. Then show that f has no minimum value with that constraint. (a) f(x,y)=e, z³ +y³ = 16.
Use Lagrange multipliers to find the maximum value of f subject to the given constraint. Then show that f has no minimum value with that constraint. (a) f(x,y)=e, z³ +y³ = 16.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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This is just one question, it just has two parts. I'm struggling to understand this question, so I need some help please.
![(b) f(x,y, z)=4r+ 2y +z, z²+y+z² = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa25589fa-5419-4615-a98c-c838d88c4e7f%2Fd2052163-3ad9-4504-95f0-1521fcb4be7a%2Ft2u9vvc_processed.png&w=3840&q=75)
Transcribed Image Text:(b) f(x,y, z)=4r+ 2y +z, z²+y+z² = 1.
![8. Use Lagrange multipliers to find the maximum value of f subject to the given constraint. Then show that f has no
minimum value with that constraint.
(a) f(x,y)=e, z³+y³ = 16.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa25589fa-5419-4615-a98c-c838d88c4e7f%2Fd2052163-3ad9-4504-95f0-1521fcb4be7a%2Fwxkeflq_processed.png&w=3840&q=75)
Transcribed Image Text:8. Use Lagrange multipliers to find the maximum value of f subject to the given constraint. Then show that f has no
minimum value with that constraint.
(a) f(x,y)=e, z³+y³ = 16.
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Thank you so much! Here is the next subpart:
![(b) f(x, y, z) = 4x+2y+z, z²+y+z² = 1.](https://content.bartleby.com/qna-images/question/a25589fa-5419-4615-a98c-c838d88c4e7f/f1af1e57-fefc-48a2-a92b-53045381bd4d/pr1an2p_thumbnail.png)
Transcribed Image Text:(b) f(x, y, z) = 4x+2y+z, z²+y+z² = 1.
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