Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction at the point P. (a) At the point P = (2, 2) in the direction = 7, the directional derivative is approximately (b) At the point P = (2, 3) in the direction = j, the directional derivative is approximately (c) At the point P = (1,4) in the direction 7 = (i + 7)/√√2, the directional derivative is approximately (d) At the point P = (1, 0) in the direction, the directional derivative is approximately 4.8 4 3.2 2.4 1.6 0.8 0 of -0.8 2.0 -0.8 0.0 O 0 0.8 1.6 X 10.0 2.4 12.0 -2.0 3.2 16.0 18.0 14.0 8.0 4 (Click on graph to enlarge) 4.8
Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction at the point P. (a) At the point P = (2, 2) in the direction = 7, the directional derivative is approximately (b) At the point P = (2, 3) in the direction = j, the directional derivative is approximately (c) At the point P = (1,4) in the direction 7 = (i + 7)/√√2, the directional derivative is approximately (d) At the point P = (1, 0) in the direction, the directional derivative is approximately 4.8 4 3.2 2.4 1.6 0.8 0 of -0.8 2.0 -0.8 0.0 O 0 0.8 1.6 X 10.0 2.4 12.0 -2.0 3.2 16.0 18.0 14.0 8.0 4 (Click on graph to enlarge) 4.8
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:Use the contour diagram for f(x, y) shown below to estimate the directional
derivative of f in the direction at the point P.
(a) At the point P = (2, 2) in the direction = 7, the directional derivative is
approximately
(b) At the point P = (2, 3) in the direction = -3, the directional derivative is
approximately
(c) At the point P = (1,4) in the direction 7 = (i + j)/√√2, the directional
derivative is approximately
(d) At the point P = (1, 0) in the direction, the directional derivative is
approximately
4.8
4
3.2
2.4
1.6
0.8
0
OH
-0.8
2.0
-0.8
0.0
O
0
0.8
1.6
X
10.0
2.4
12.0
-2.0
3.2
16.0
18.0
14.0
8.0
4
(Click on graph to enlarge)
4.8
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