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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 30E
icon
Related questions
Question
100%

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.
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 29 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Thank you so much! Here is the next subpart:

(b) f(x, y, z) = 4x+2y+z, z²+y+z² = 1.
Transcribed Image Text:(b) f(x, y, z) = 4x+2y+z, z²+y+z² = 1.
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning