y² cos(xy?) – ay sin(æ²y) Let it be 7 : R² → R², (2ary cos (ay?) – ža² sin(a²y)/ a vector field. Which of the following functions is a potential V ) from i? () (a) The vector field has no potential (b) cos(a²y) – sin(æy?) V 1. cos(a²y) + sin(æy²) 1 (c) cos(a y) – sin(xy²) (d) V V C)- cos(a*y) + sin(ry²) (f) 2 cos(a²y) – 2 sin(ary²) (e) V V

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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y? cos(xy?) – ay sin(a²y)
Let it be
ū : R? → R?.
| 2ry cos(ry²) – fa² sin(2²y)/
a vector field. Which of the
following functions is a potential V) from i?
(a) The vector field has no potential
(b)
cos(a²y) – sin(æy?)
V
1
1
C) = cos(a²y) – sin(ay?)
= cos(a*y) + 5 sin(zy")
(c)
V
(d)
V
(3)
1
(e)
v (C) = ; cos(a*y) + sin(xy*)
= 2 cos(a²y) – 2 sin(xy²)
V
(f)
V
Transcribed Image Text:y? cos(xy?) – ay sin(a²y) Let it be ū : R? → R?. | 2ry cos(ry²) – fa² sin(2²y)/ a vector field. Which of the following functions is a potential V) from i? (a) The vector field has no potential (b) cos(a²y) – sin(æy?) V 1 1 C) = cos(a²y) – sin(ay?) = cos(a*y) + 5 sin(zy") (c) V (d) V (3) 1 (e) v (C) = ; cos(a*y) + sin(xy*) = 2 cos(a²y) – 2 sin(xy²) V (f) V
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