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Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 2x - 5xy- 4y – 10x- 23y+8

Find all the local maxima, local minima, and saddle points of the function. f(x,y) = - 2x - 5xy- 4y – 10x- 23y+8

Advanced Engineering Mathematics
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. 2. 2. f(x.y) = - 2x - 5xy – 4y´ – 10x – 23y + 8 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. 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.
Transcribed Image Text:Find all the local maxima, local minima, and saddle points of the function. 2. 2. f(x.y) = - 2x - 5xy – 4y´ – 10x – 23y + 8 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. 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.
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