Find all the local maxima, local minima, and saddle points of the function. f(x.y) = - 4x - 4xy – 7y° + 80x + 136y + 9 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. sise helow ond SUE shsise

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.
f(x.y) = - 4x - 4xy - 7y + 80x + 136y + 9
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
O A. Alocal 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.
O A. 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.
O A. A saddle point occurs at
(Type an ordered pair. Use a comma to separate answers as needed.)
O B. There are no saddle points.
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. f(x.y) = - 4x - 4xy - 7y + 80x + 136y + 9 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. Alocal 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. O A. 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. O A. A saddle point occurs at (Type an ordered pair. Use a comma to separate answers as needed.) O B. There are no saddle points.
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