Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction T at the point P. (a) At the point P = (2, 2) in the direction v = 7, the directional derivative is approximately (b) At the point P = (3, 2) in the direction i = -i, the directional derivative is approximately (c) At the point P = (4,1) in the direction = (7 +j)/v2, the directional derivative is approximately (d) At the point P = (4,0) in the direction v = -i, the directional derivative is approximately 4.8 3.2 2.4 8.0 1.6 0.8 2.0 -0.8 0.8 1.6 2.4 3.2 4 4.8 -0.8 18.0 16.0 14.0 12.0 10.0 6,0 4.0 2.0 00 2.0 0.0
Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction T at the point P. (a) At the point P = (2, 2) in the direction v = 7, the directional derivative is approximately (b) At the point P = (3, 2) in the direction i = -i, the directional derivative is approximately (c) At the point P = (4,1) in the direction = (7 +j)/v2, the directional derivative is approximately (d) At the point P = (4,0) in the direction v = -i, the directional derivative is approximately 4.8 3.2 2.4 8.0 1.6 0.8 2.0 -0.8 0.8 1.6 2.4 3.2 4 4.8 -0.8 18.0 16.0 14.0 12.0 10.0 6,0 4.0 2.0 00 2.0 0.0
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 T at the point P.
(a) At the point P = (2, 2) in the direction v = 7, the directional derivative is
approximately
(b) At the point P = (3, 2) in the direction i = -i, the directional derivative is approximately
(c) At the point P = (4,1) in the direction = (7 +j)/v2, the directional derivative is approximately
(d) At the point P = (4,0) in the direction v = -i, the directional derivative is approximately

Transcribed Image Text:4.8
3.2
2.4
8.0
1.6
0.8
2.0
-0.8
0.8
1.6
2.4
3.2
4
4.8
-0.8
18.0
16.0
14.0
12.0
10.0
6,0
4.0
2.0
00
2.0
0.0
Expert Solution

part(a) Answer
Let the point P=(2,2)=
In this we have to find the directional derivative o f in the direction of
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