Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x³+y³ +6x²-6y²-6 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.) B. There are no local minima. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no saddle points.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.1: Quadratic Functions And Models
Problem 2E: The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with...
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Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = x³+y³ +6x²-6y²-6
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.)
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:K Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x³+y³ +6x²-6y²-6 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.) 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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