Match each of the four vector fields with one of the graphs below. Give a reason: which feature of the equation matches which feature of the graph? (a) F(x, y) = (2x – cos y) i+ x sin yj
Match each of the four vector fields with one of the graphs below. Give a reason: which feature of the equation matches which feature of the graph? (a) F(x, y) = (2x – cos y) i+ x sin yj
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:1. Match each of the four vector fields with one of the graphs below.
Give a reason: which feature of the equation matches which feature of the graph?
(a) Fi(x, y) = (2x – cos y) i + x sin y
COS
-
(b) F2(x, y) = (2x – y)i+ (2x + y)
-
(c) F;(x, y) = xyi
(d) F-(x, y) = y7
Transcribed Image Text:A
В
6
6
4
4
4
2
2
y 0
у о
y
-2
-2
-2
-4
-4
4«<< 4<
-6
-6
-6
-6
-4
-2 0 2
4 6
-6
-4
-2 0 2 4 6
-6
-4
-2 0 2
4 6
D
E
F
6
6
4
4
2
2
2
y
y
-2
-2
-2
-4
-4
-6
-6
-6
-4
-2
O 2 4 6
-6
-4 -2 0 2
4 6
-6
-4
-2
2
4 6
2.
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