Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. ✓1. At the point (1, 0) in the direction of -3. ✓2. At the point (0, -2) in the direction of (-23)/√5, ✓3. At the point (0, 2) In the direction of 3, ✓4. At the point (-1, 1) in the direction of (-7+3)/√2, ✓5. At the point (-1, 1) in the direction of (-7-3)/√2. ✓6. At the point (-2,2) in the direction of 7, ? ? ? ? ? ?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero.
?
✓1. At the point (1, 0) in the direction of -3.
✓ 2. At the point (0, -2) in the direction of (2-23)/√5,
✓3. At the point (0, 2) in the direction of 3,
4. At the point (-1, 1) in the direction of (-7+3)/√2,
?
?
?
?
?
V
5. At the point (-1, 1) in the direction of (-7-3)/√2,
✓6. At the point (-2, 2) In the direction of 7,
V
>
2.4
1.6
0.8
0
0.8
-1.6-
-2.4
12.0
12,0
10.0
10.0
-2.4
6.0
-1.6 -0.8
0
X
0.8
4.0
(Click graph to enlarge)
1.6
12.0
10.0
8.0
10.0
12.0
2.4
Transcribed Image Text:Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. ? ✓1. At the point (1, 0) in the direction of -3. ✓ 2. At the point (0, -2) in the direction of (2-23)/√5, ✓3. At the point (0, 2) in the direction of 3, 4. At the point (-1, 1) in the direction of (-7+3)/√2, ? ? ? ? ? V 5. At the point (-1, 1) in the direction of (-7-3)/√2, ✓6. At the point (-2, 2) In the direction of 7, V > 2.4 1.6 0.8 0 0.8 -1.6- -2.4 12.0 12,0 10.0 10.0 -2.4 6.0 -1.6 -0.8 0 X 0.8 4.0 (Click graph to enlarge) 1.6 12.0 10.0 8.0 10.0 12.0 2.4
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