Find all the local maxima, local minima, and saddle points of the function. f(x,y)=5/(x^2+y^2−1)
Find all the local maxima, local minima, and saddle points of the function. f(x,y)=5/(x^2+y^2−1)
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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Question
Find all the local maxima , local minima , and saddle points of the function.
f(x,y)=5/(x^2+y^2−1)
Question content area bottom
Part 1
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A local maximum occurs at
enter your response here.
(Type an ordered pair. Use a comma to separate answers as needed.)
The local maximum value(s) is/are
enter your response here.
(Type an exact answer. Use a comma to separate answers as needed.)
There are no local maxima.
Part 2
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A local minimum occurs at
enter your response here.
(Type an ordered pair. Use a comma to separate answers as needed.)
The local minimum value(s) is/are
enter your response here.
(Type an exact answer. Use a comma to separate answers as needed.)
There are no local minima.
Part 3
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A saddle point occurs at
enter your response here.
(Type an ordered pair. Use a comma to separate answers as needed.)
There are no saddle points.
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