2. Find the point on the graph of z=-x^2-^2-xy that is the farthest above the plane 5x+4 y +=-3 (use vertical distance, not overall distance). How far above the plane is that point? Select one: а. 5 b. 10 с. 12 d. 3

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laxima, and no saddle
points
2. Find the point on the graph of z=-x^2-^2-xy that is the farthest above the plane 5x+4 y + -3 (use vertical
distance, not overall distance). How far above the plane is that point?
Select one:
C.
a. 5
C.
b. 10
C.
с. 12
d. 3
C.
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.
S.
2z dz
Select one:
L.
L L
Transcribed Image Text:laxima, and no saddle points 2. Find the point on the graph of z=-x^2-^2-xy that is the farthest above the plane 5x+4 y + -3 (use vertical distance, not overall distance). How far above the plane is that point? Select one: C. a. 5 C. b. 10 C. с. 12 d. 3 C. 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. S. 2z dz Select one: L. L L
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