3. Find the local extrema of f (x, y) =2ry+ 1/2x- 1/y (Select all that apply.) Select one or more: a. local maximum at (-1/2,1) b. local maximum at (-1,1/4) c. local minimum at (0,0) d. saddle point at (1,1/4) e. local minimum at (-1/2,1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Need help with question 3.

e. 7
3. Find the local extrema of f (x, y) =2xy+ 1/2x- 1/y (Select all that apply.)
Select one or more:
a. local maximum at (-1/2,1)
b. local maximum at (-1,1/4)
c. local minimum at (0,0)
d. saddle point at (1,1/4)
e. local minimum at (-1/2,1)
4. Find the minimum value of the integral below, where (x,y) lies on the unit circle.
2z dz
Select one:
a. -1
b. -2
с. -4
C.
d. 0
LLLL
Transcribed Image Text:e. 7 3. Find the local extrema of f (x, y) =2xy+ 1/2x- 1/y (Select all that apply.) Select one or more: a. local maximum at (-1/2,1) b. local maximum at (-1,1/4) c. local minimum at (0,0) d. saddle point at (1,1/4) e. local minimum at (-1/2,1) 4. Find the minimum value of the integral below, where (x,y) lies on the unit circle. 2z dz Select one: a. -1 b. -2 с. -4 C. d. 0 LLLL
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