The surface z = f(x, y) is shown in the diagram. The green point is A = (-2, 2, 0) and the red point is B = (2, 2, 0). Z 0,88 -0,25 1,38 (a) Are the following quantities positive, negative, or zero? Positive v 1. fr(B) Negative v 2. fx(A) Negative v 3. f;(A) 50 Positive v 4. fy(B) (b) Suppose a point P in the xy-plane moves in a straight line from the green point A to the red point B. Positive to negative v 1. Does the sign of fy(P) change from positive to negative, negative to positive, or is there no OB change in sign? Negative to positive v 2. Does the sign of f.(P) change from positive to negative, negative to positive, or is there no change in sign?
The surface z = f(x, y) is shown in the diagram. The green point is A = (-2, 2, 0) and the red point is B = (2, 2, 0). Z 0,88 -0,25 1,38 (a) Are the following quantities positive, negative, or zero? Positive v 1. fr(B) Negative v 2. fx(A) Negative v 3. f;(A) 50 Positive v 4. fy(B) (b) Suppose a point P in the xy-plane moves in a straight line from the green point A to the red point B. Positive to negative v 1. Does the sign of fy(P) change from positive to negative, negative to positive, or is there no OB change in sign? Negative to positive v 2. Does the sign of f.(P) change from positive to negative, negative to positive, or is there no change in sign?
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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Transcribed Image Text:The surface z =
f(x, y) is shown in the diagram. The green point is A = (-2, 2, 0) and the red point is B =
(2, 2, 0).
Z
0,88
-0,25
-1,38
(a) Are the following quantities positive, negative, or zero?
Positive
v 1. fx (B)
Negative
v 2. fx(A)
Negative
v 3. fy(A)
A 50
Positive
v 4. fy(B)
(b) Suppose a point P in the xy-plane moves in a straight line from the green point A to the red point B.
Positive to negative v
1. Does the sign of fy(P) change from positive to negative, negative to positive, or is there no
B
change in sign?
Negative to positive v
2. Does the sign of f, (P) change from positive to negative, negative to positive, or is there no
change in sign?
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