Find all the local maxima, local minima, and saddle points of the function. f(x,y)=2xy-x²-6y² + 2x+4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. 61 5'5 (Type an ordered pair. Use a comma to separate answers as needed.) 26 A local maximum occurs at The local maximum value(s) is/are (Type an exact answer. Use a comma to separate answers as needed.) 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.) B. There are no local minima.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Pls solve minima & saddle points. Thank you & I will give thumbs up.

Find all the local maxima, local minima, and saddle points of the function.
f(x,y) = 2xy-x² - 6y² + 2x+4
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
6 1
A local maximum occurs at
5'5
(Type an ordered pair. Use a comma to separate answers as needed.)
26
The local maximum value(s) is/are
5
(Type an exact answer. Use a comma to separate answers as needed.)
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.)
B. There are no local minima.
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy-x² - 6y² + 2x+4 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. 6 1 A local maximum occurs at 5'5 (Type an ordered pair. Use a comma to separate answers as needed.) 26 The local maximum value(s) is/are 5 (Type an exact answer. Use a comma to separate answers as needed.) 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.) B. There are no local minima.
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