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

Question 29

Multiple Choice

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


A) sin⁡θ∂u∂r+cos⁡θ∂u∂θ/r\sin \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta } / r
B) sin⁡θ∂u∂r−cos⁡θ∂u∂θ/r\sin \theta \frac { \partial u } { \partial r } - \cos \theta \frac { \partial u } { \partial \theta } / r
C) cos⁡θ∂u∂r−sin⁡θ∂u∂θ/r\cos \theta \frac { \partial u } { \partial r } - \sin \theta \frac { \partial u } { \partial \theta } / r
D) cos⁡θ∂u∂r+cos⁡θ∂u∂θ/r\cos \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta } / r
E) sin⁡θ∂u∂r+cos⁡θ∂u∂θ\sin \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta }

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