6. If V(x, y) = x sin x cos y + y² then, F = -VV and it is equal to A. -i[y sin x cos y sin x cos y] + j[-x sin x sin y + 2x] B. -i[x cos x cos y -cos x cos y] − j[-x sin x sin y + 2y] C. - ily cos x sin y - sin x cos y] + j[-x sin x siny + 2y] D. -i[x cos x cos y + sin x sin y] −j[-xsin x sin y + 2y] E. -i[y sin x cos y sin x cos y] + j[-xsin x sin y + 2y] F. -i[x cos x sin y - sin x cos y] −j[-xsin x sin y + 2y] G. -i[x cos x cos y + sin x cos y] −j[-x sin x sin y + 2y] H. None of the above

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 54PQ
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6. If V(x, y) = x sin x cos y + y²
then, F = -VV and it is equal to
A. -i[y sin x cos y
B. -i[x cos x cos y
sin x cos y] + j[-x sin x sin y + 2x]
cos x cos y] -j[-x sin x sin y + 2y]
C. -i[y cos x siny - sin x cos y] + j[-x sin x sin y + 2y]
D. -i[x cos x cos y + sin x siny] -j[-x sin x sin y + 2y]
E. -i[y sin x cos y sin x cos y] + j[-x sin x sin y + 2y]
F. -i[x cos x sin y
sin x cos y] -j[-x sin x sin y + 2y]
G. -i[x cos x cos y + sin x cos y] -j[-x sin x sin y + 2y]
H. None of the above
Transcribed Image Text:6. If V(x, y) = x sin x cos y + y² then, F = -VV and it is equal to A. -i[y sin x cos y B. -i[x cos x cos y sin x cos y] + j[-x sin x sin y + 2x] cos x cos y] -j[-x sin x sin y + 2y] C. -i[y cos x siny - sin x cos y] + j[-x sin x sin y + 2y] D. -i[x cos x cos y + sin x siny] -j[-x sin x sin y + 2y] E. -i[y sin x cos y sin x cos y] + j[-x sin x sin y + 2y] F. -i[x cos x sin y sin x cos y] -j[-x sin x sin y + 2y] G. -i[x cos x cos y + sin x cos y] -j[-x sin x sin y + 2y] H. None of the above
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