Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 4x + 3y - 4 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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = x² + xy + 4x + 3y - 4
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.
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. f(x,y) = x² + xy + 4x + 3y - 4 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.
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