Find all the local maxima, local minima, and saddle points of the function. 8 f(x,y) = = 7+37-2 y²- Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) OB. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) OB. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. A saddle point occurs at ... (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no saddle points.

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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Find all the local maxima, local minima, and saddle points of the function.
8
f(x,y) =
x² + y²-
2
-2
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
OA. A local maximum occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
The local maximum value(s) is/are.
(Type an exact answer. Use a comma to separate answers as needed.)
OB. There are no local maxima.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
OA. A local minimum occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
The local minimum value(s) is/are.
(Type an exact answer. Use a comma to separate answers as needed.)
OB. There are no local minima.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. A saddle point occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
OB. There are no saddle points.
80
000
000
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. 8 f(x,y) = x² + y²- 2 -2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. A local maximum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local maximum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) OB. There are no local maxima. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. A local minimum occurs at (Type an ordered pair. Use a comma to separate answers as needed.) The local minimum value(s) is/are. (Type an exact answer. Use a comma to separate answers as needed.) OB. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no saddle points. 80 000 000
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