Find the critical points of f (x, y) = 9y + x² + xy – 5y - y'.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Find the critical points of f (x, y) = 9y* + x + xy – 5y - y.
Use the contour map to determine their nature (local minimum, local maximum, and saddle point).
-0.3
-0.2
-0.1
0,1
0.-
-0.1
0.3
-0.2
(Use symbolic notation and fractions where needed. Enter DNE if the answer does not exist. List the points separated by the
comma if there are more than one.)
local minimum:
Transcribed Image Text:Find the critical points of f (x, y) = 9y* + x + xy – 5y - y. Use the contour map to determine their nature (local minimum, local maximum, and saddle point). -0.3 -0.2 -0.1 0,1 0.- -0.1 0.3 -0.2 (Use symbolic notation and fractions where needed. Enter DNE if the answer does not exist. List the points separated by the comma if there are more than one.) local minimum:
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