# Physics: Path Integrals, Navier Stokes, Cartesian Coordinates, Conservation Laws

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I am not sure how to solve these. Questions involves calculating path integrals, Navier Stokes equation, Cartesian coordinates, and conservation laws. Examples similar to these would be very helpful.

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The solution is attached below (next to the paperclip icon) in two formats. one is in Word XP Format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.

Check out:

http://mathworld.wolfram.com/LineIntegral.html

http://mathworld.wolfram.com/ConservativeField.html

http://mathworld.wolfram.com/GradientTheorem.html

A path integral of a vector function in Cartesian coordinates is given by:

In two dimensions the path segment ds is simply:

...

#### Solution Summary

This solution involves calculations for questions of path integrals, Navier Stokes equation, Cartesian coordinates, and conservation laws.