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
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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.
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.
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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.
Transcribed Image Text:(b) f(x, y, z) = 4x+2y+z, z²+y+z² = 1.
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