Find all the local maxima, local minima, and saddle points of the function. f(x,y)= 6 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 34E
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can u help with the 2nd and third part of this question please, thanks

Find all the local maxima, local minima, and saddle points of the function.
f(x,y)=
x² + y² - 1
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.)
O B. 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.)
O B. 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.
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. f(x,y)= x² + y² - 1 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.) O B. 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.) O B. 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.
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