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In Changing from Cartesian to Polar Coordinates ux\frac { \partial u } { \partial x }

Question 29

Multiple Choice

In changing from Cartesian to polar coordinates, ux\frac { \partial u } { \partial x } is


A) sinθur+cosθuθ/r\sin \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta } / r
B) sinθurcosθuθ/r\sin \theta \frac { \partial u } { \partial r } - \cos \theta \frac { \partial u } { \partial \theta } / r
C) cosθursinθuθ/r\cos \theta \frac { \partial u } { \partial r } - \sin \theta \frac { \partial u } { \partial \theta } / r
D) cosθur+cosθuθ/r\cos \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta } / r
E) sinθur+cosθuθ\sin \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta }

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