From the contour map of f shown below de- de whether fx and fy are positive, negative, r zero at P. 1. fx < 0, 2. fx 0, = 3. fx < 0, 4. fx > 0, 5. fx = 0, 6. fx > 0, fy > 0 fy > 0 fy < 0 fy < 0 fy < 0 fy > 0 y X (part 2 of 4) Determine whether the partial derivatives fæ, fy of f are positive, negative or zero at the point P on the graph of f shown in 1. fx < 0, 2. fx 0, 3. fx 0, 4. fx < 0, 5. fx < 0, 6. fx > 0, 7. fx = = X = 0, 8. fx > 0, fy < 0 fy > 0 fy < 0 0 fy fy > 0 fy > 0 = 0 fy fy - = 0

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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Question
(part 1 of 4)
From the contour map of f shown below de-
cide whether fx and fy are positive, negative,
or zero at P.
/////
1. fx <
2. fx
=
0,
0,
3. fx < 0,
4. fx > 0,
5. fx
fy > 0
fy > 0
fy < 0
fy < 0
fy < 0
0,
6. fx > 0, fy > 0
X
(part 2 of 4)
Determine whether the partial derivatives
fa, fy of f are positive, negative or zero at the
point P on the graph of f shown in
1. fx
2. fx
3. fx
0,
= 0,
0,
4. fx < 0,
5. fx < 0,
6. fx > 0,
=
=
X
7. fx
8. fx > 0,
=
= 0,
fy < 0
fy > 0
fy < 0
0
fy
fy > 0
fy > 0
fy
fy
=
-
=
0
OO
0
Z
Y
Transcribed Image Text:(part 1 of 4) From the contour map of f shown below de- cide whether fx and fy are positive, negative, or zero at P. ///// 1. fx < 2. fx = 0, 0, 3. fx < 0, 4. fx > 0, 5. fx fy > 0 fy > 0 fy < 0 fy < 0 fy < 0 0, 6. fx > 0, fy > 0 X (part 2 of 4) Determine whether the partial derivatives fa, fy of f are positive, negative or zero at the point P on the graph of f shown in 1. fx 2. fx 3. fx 0, = 0, 0, 4. fx < 0, 5. fx < 0, 6. fx > 0, = = X 7. fx 8. fx > 0, = = 0, fy < 0 fy > 0 fy < 0 0 fy fy > 0 fy > 0 fy fy = - = 0 OO 0 Z Y
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