Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = (x + 5)² + (y – 5)² subject to the constraint x² + y² < 32, if such values exist. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum = Minimum

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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Use Lagrange multipliers to find the maximum and minimum values of
f(x, y) = (x + 5)² + (y – 5)?
subject to the constraint
² + y < 32,
if such values exist.
If there is no global maximum or global minimum, enter NA in the appropriate answer area.
Maximum =
Minimum =
2
Transcribed Image Text:Use Lagrange multipliers to find the maximum and minimum values of f(x, y) = (x + 5)² + (y – 5)? subject to the constraint ² + y < 32, if such values exist. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Maximum = Minimum = 2
Use Lagrange multipliers to find the maximum and minimum values of
f(x, y, z) = x² – 8y + 10z?
subject to the constraint
x² + y? +? = 1,
%3D
if such values exist.
Enter the exact answers.
If there is no global maximum or global minimum, enter NA in the appropriate answer area.
Мaximum
8
Minimum =
-8
Transcribed Image Text:Use Lagrange multipliers to find the maximum and minimum values of f(x, y, z) = x² – 8y + 10z? subject to the constraint x² + y? +? = 1, %3D if such values exist. Enter the exact answers. If there is no global maximum or global minimum, enter NA in the appropriate answer area. Мaximum 8 Minimum = -8
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