Use the contour diagram of f to decide if the specified directional derivative is positive, negative, or approximately zero. Negative 1. At the point (-2,2) in the direction of i, 2.4 Positive 2. At the point (0, 2) in the direction of j, 16 6.0 0.8 Positive 3. At the point (0, -2) in the direction of (i – 2j)//5, of 4. At the point (-1, 1) in the direction of (-i +j)//2, 0.8 5. At the point (1,0) in the direction of -j, -1.6 Zero 6. At the point (-1,1) in the direction of (-i - 3)/v2, 8.0 -2.4 -1.6 0.8 0.8 1.6 2.4 12.0 12.0 10.0 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. Negative 1. At the point (-2,2) in the direction of i, 2.4 Positive 2. At the point (0, 2) in the direction of j, 16 6.0 0.8 Positive 3. At the point (0, -2) in the direction of (i – 2j)//5, of 4. At the point (-1, 1) in the direction of (-i +j)//2, 0.8 5. At the point (1,0) in the direction of -j, -1.6 Zero 6. At the point (-1,1) in the direction of (-i - 3)/v2, 8.0 -2.4 -1.6 0.8 0.8 1.6 2.4 12.0 12.0 10.0 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
Negative
1. At the point (-2,2) in the direction of i,
1.6
Positive
2. At the point (0, 2) in the direction of j,
0.8
Positive
3. At the point (0, –2) in the direction of (i – 2j)/V5,
?
4. At the point (-1, 1) in the direction of (-i + j)//2,
0.8
-1.6
?
v 5. At the point (1, 0) in the direction of –i,
4.0
-2.4
Zero
6. At the point (-1, 1) in the direction of (-i – )/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
O'g
10.0
12.0
10.0
12.0
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