Find all the local maxima, local minima, and saddle points of the function.f(x,y) = -7x² - 6xy-5y² - 140x-112y+2Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.O A. 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 within 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.Find the saddle points. Select the correct choice below and, if necessary, fill in the answer box within 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.

Given function:- fx,y=-7x2-6xy-5y2-140x-112y+2

Answered: Find all the local maxima, local…

Math

Calculus

Find all the local maxima, local minima, and saddle points of the function. f(x,y)= -7x² - 6xy-5y²-140x-112y+2

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Rational Functions And Conics

Section4.2: Graphs Of Rational Functions

Problem 88E

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Question

Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = -7x² - 6xy-5y² - 140x-112y+2
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. 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 within 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.
Find the saddle points. Select the correct choice below and, if necessary, fill in the answer box within 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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