Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. 12.0 2.4 ? 1. At the point (0, 2) in the direction of j, 1.6 6.0 0.8 ? v 2. At the point (-1, 1) in the direction of (-i – j)//2, ? v 3. At the point (-2, 2) in the direction of i, -0.8 4. At the point (0, -2) in the direction of (i – 2j)/V5, -1.6 F 4.0 10.0 -2.4 ? 5. At the point (1,0) in the direction of -j, -2.4 -1.6 -0.8 0.8 1.6 2.4 v 6. At the point (-1, 1) in the direction of (-i +j)//2, (Click graph to enlarge) 12.0 10.0 10.0 12.0 10.0 12.0
Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. 12.0 2.4 ? 1. At the point (0, 2) in the direction of j, 1.6 6.0 0.8 ? v 2. At the point (-1, 1) in the direction of (-i – j)//2, ? v 3. At the point (-2, 2) in the direction of i, -0.8 4. At the point (0, -2) in the direction of (i – 2j)/V5, -1.6 F 4.0 10.0 -2.4 ? 5. At the point (1,0) in the direction of -j, -2.4 -1.6 -0.8 0.8 1.6 2.4 v 6. At the point (-1, 1) in the direction of (-i +j)//2, (Click graph to enlarge) 12.0 10.0 10.0 12.0 10.0 12.0
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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Transcribed Image Text:Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or
approximately zero.
2.4
?
1. At the point (0, 2) in the direction of j,
1.6
?
2. At the point (-1, 1) in the direction of (-i – j)/V2,
0.8
?
3. At the point (-2, 2) in the direction of i,
-0.8
?
4. At the point (0, –2) in the direction of (i – 2j)/V5,
1.6
4.0
?
5. At the point (1,0) in the direction of -j,
-2.4
?
6. At the point (-1, 1) in the direction of (-i + j)/v2,
-2.4
-1.6
-0.8
0.8
1.6
2.4
(Click graph to enlarge)
12.0
10.0
12.0
10.0
10.0
12.0
8.0
10.0
12.0
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