In Changing from Cartesian to Polar Coordinates $\frac { \partial u } { \partial y }$

question 12

Multiple Choice

In changing from Cartesian to polar coordinates, $\frac { \partial u } { \partial y }$ is

• A) \(\cos \theta \frac { \partial u } { \partial r } - \sin \theta \frac { \partial u } { \partial \theta } / r\)
• B) \(\cos \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta } / r\)
• C) \(\sin \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta }\)
• D) \(\sin \theta \frac { \partial u } { \partial r } + \cos \theta \frac { \partial u } { \partial \theta } / r\)
• E) \(\sin \theta \frac { \partial u } { \partial r } - \cos \theta \frac { \partial u } { \partial \theta } / r\)

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A two-tailed test is a statistical test in which the area of interest is in both tails of the probability distribution, allowing for the testing of both directions of an effect.

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A default hypothesis that there is no significant difference or effect, typically tested against an alternative hypothesis in statistical analysis.

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A measure of the dispersion of a set of data points in a population data set.