f(x, y) = y√x - y² - 1x + 3y. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fry/(2sqrt(x))-1 fy = sqrt(x)-2(2sqrt(x))+3 faz = fry = fyy = The critical point with the smallest x-coordinate is ( determined) The critical point with the next smallest x-coordinate is ( ) Classification: determined) ) Classification: The critical point with the next smallest x-coordinate is ( ) Classification: determined) (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be ✓(local minimum, local maximum, saddle point, cannot be

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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f(x, y) = y√x - y² - 1x + 3y.
Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank.
fz
y/(2sqrt(x))-1
fy = sqrt(x)-2(2sqrt(x))+3
faz
fry
=
fyy
The critical point with the smallest x-coordinate is
(
=
determined)
The critical point with the next smallest x-coordinate is
(
) Classification:
determined)
) Classification:
The critical point with the next smallest x-coordinate is
(
) Classification:
determined)
(local minimum, local maximum, saddle point, cannot be
(local minimum, local maximum, saddle point, cannot be
✓(local minimum, local maximum, saddle point, cannot be
Transcribed Image Text:f(x, y) = y√x - y² - 1x + 3y. Find and classify all critical points of the function. If there are more blanks than critical points, leave the remaining entries blank. fz y/(2sqrt(x))-1 fy = sqrt(x)-2(2sqrt(x))+3 faz fry = fyy The critical point with the smallest x-coordinate is ( = determined) The critical point with the next smallest x-coordinate is ( ) Classification: determined) ) Classification: The critical point with the next smallest x-coordinate is ( ) Classification: determined) (local minimum, local maximum, saddle point, cannot be (local minimum, local maximum, saddle point, cannot be ✓(local minimum, local maximum, saddle point, cannot be
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