- #1
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Hey, having a little problem with a question because I am a little to unsure how to do it, I've been asked to calculate some exterior differentials, would this be write:
[tex]d\left(r^3 (\cos (4 \theta) dr - r \sin (4\theta) d\theta)\right)[/tex]
Simplified:
[tex]d\left(r^3 \cos (4\theta) dr - r^4 \sin (4\theta) d\theta\right)[/tex]
Goes to:
[tex]2r^3 dr \left(-4 \sin (4\theta) d\theta dr - 4r^3 dr \cos (4\theta) d\theta d\theta \right) = 0[/tex]
Am I even slightly right?
[tex]d\left(r^3 (\cos (4 \theta) dr - r \sin (4\theta) d\theta)\right)[/tex]
Simplified:
[tex]d\left(r^3 \cos (4\theta) dr - r^4 \sin (4\theta) d\theta\right)[/tex]
Goes to:
[tex]2r^3 dr \left(-4 \sin (4\theta) d\theta dr - 4r^3 dr \cos (4\theta) d\theta d\theta \right) = 0[/tex]
Am I even slightly right?