cify the component functions of a vector field F in R2 with the following property. I points except (0,0), F decreases by the cube of the distance from the origin and points away from the origin along radial lines. ch of the following is one possible vector field F? (x.y) (-x, - y) A. F(x,y) = F(0,0) = 0 Ir (-X, - ) 14 OB. F(x,y)=- F(0,0)= 0 -r (x,y) C. F(x,y) = F(0,0) = 0 O D. F(x,y) = F(0,0)= 0 %3D - 4 -4 13 3 (x,y) %3D -4 (x,y) F(0,0) = 0 Ir r OF. F(x,y) = Irl E. F(x,y)= F(0,0) = 0 %3D -4 rl ck to select your answer.
cify the component functions of a vector field F in R2 with the following property. I points except (0,0), F decreases by the cube of the distance from the origin and points away from the origin along radial lines. ch of the following is one possible vector field F? (x.y) (-x, - y) A. F(x,y) = F(0,0) = 0 Ir (-X, - ) 14 OB. F(x,y)=- F(0,0)= 0 -r (x,y) C. F(x,y) = F(0,0) = 0 O D. F(x,y) = F(0,0)= 0 %3D - 4 -4 13 3 (x,y) %3D -4 (x,y) F(0,0) = 0 Ir r OF. F(x,y) = Irl E. F(x,y)= F(0,0) = 0 %3D -4 rl ck to select your answer.
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:Specify the component functions of a vector field F in R2 with the following property.
At all points except (0,0), F decreases by the cube of the distance from the origin and points away from the origin along radial lines.
Which of the following is one possible vector field F?
(x.y)
(-x, - y)
O A. F(x,y) =
F(0,0) = 0
O B. F(x,y) =
F(0,0) = 0
%3D
14
Ir Ir
(-x, - )
- 4
-r
(x,y)
O D. F(x,y) =
3
Ir
O C. F(x.y) =
F(0,0) = 0
F(0,0) = 0
3
- 4
Ir
(x,y)
F(0,0)= 0
(x,y)
F(0,0) = 0
O E. F(x,y) =
O F. F(x,y)=
%3D
4
-4
r|
Click to select your answer.
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